subject:(Continuum mechanics)

Oregon State University

1. Okada, Kanzo. The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories.

Degree: MS, Mathematics, 1977, Oregon State University

URL: http://hdl.handle.net/1957/43168

► The asymptotic boundary layer problem involving an axial incompressible Newtonian fluid flow past a circular cylinder parallel to its axis was investigated by Stewartson (1955).… (more)

Subjects/Keywords: Continuum mechanics

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APA (6^th Edition):

Okada, K. (1977). The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/43168

Chicago Manual of Style (16^th Edition):

Okada, Kanzo. “The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories.” 1977. Masters Thesis, Oregon State University. Accessed January 15, 2021. http://hdl.handle.net/1957/43168.

MLA Handbook (7^th Edition):

Okada, Kanzo. “The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories.” 1977. Web. 15 Jan 2021.

Vancouver:

Okada K. The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories. [Internet] [Masters thesis]. Oregon State University; 1977. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1957/43168.

Council of Science Editors:

Okada K. The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow and constitutive theories. [Masters Thesis]. Oregon State University; 1977. Available from: http://hdl.handle.net/1957/43168

Oregon State University

2. Feng, Yongsheng. A continuum model of plant root growth.

Degree: PhD, Soil Science, 1990, Oregon State University

URL: http://hdl.handle.net/1957/37093

► The continuum theory provides a framework in which the growth of a plant root as a dynamic process involving interactions among transport of water and… (more)

▼ The continuum theory provides a framework in which the growth of a plant root as a dynamic process involving interactions among transport of water and solute, cell division, and the subsequent cell elongation can be described. A plant root is modeled as a one-dimensional, multi-phase, mathematical continuum. The network of cell walls constitute the solid phase of the system. The symplast and the apoplast pathways reside in this network of cell walls. Water and carbohydrates move in opposite directions through the apoplast and symplast pathways within the deforming network of cell walls. The division and elongation of cells depends on the mechanical stress imposed on the cell walls, the rate of metabolic stress relaxation process, and the physical properties of the cell walls. The model consists of five systems of differential equations. The kinematic equations are derived which allow, specifically, the different roles of cell division and elongation in root growth to be considered. These provide the reference system of the model. Equations of water transport in the coupled system of apoplast and symplast pathways are derived from considerations of theories of transport in the porous media and the cellular and membrane properties of the plant root. Equations of solute transport are derived by considering, specifically, the mechanisms involved in solute transport both at the membranes separating individual cells and within the cytoplasm. The rate of cell elongation is described as a function of the mechanical stress in the cell walls, the viscoelastic properties of the cell walls, and a metabolically controlled strain energy relaxation process. Growth in the meristem is modeled as the result of continuous cell elongation and division. The equations of water and solute transport, cell elongation, and meristem growth are solved simultaneously under the reference system provided by the kinematic theory. The model is used to examine the effects of soil water stress, soil resistance to root penetration, and temperature, as well as the carbohydrate supply from the upper part of the plant on the dynamic process of root elongation. The close correspondence between the material coordinate system and the underlying cellular structure of the root allows the comparison between the continuum theory and the results of cell growth studies. Agreement of the model predictions of the pattern of growth along the root axis, as well as the effects of temperature and soil water stress on root growth, with the experimental measurements reported in the literature provides the justification for the theories. Advisors/Committee Members: Boersma, Larry (advisor).

Subjects/Keywords: Continuum mechanics

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APA (6^th Edition):

Feng, Y. (1990). A continuum model of plant root growth. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/37093

Chicago Manual of Style (16^th Edition):

Feng, Yongsheng. “A continuum model of plant root growth.” 1990. Doctoral Dissertation, Oregon State University. Accessed January 15, 2021. http://hdl.handle.net/1957/37093.

MLA Handbook (7^th Edition):

Feng, Yongsheng. “A continuum model of plant root growth.” 1990. Web. 15 Jan 2021.

Vancouver:

Feng Y. A continuum model of plant root growth. [Internet] [Doctoral dissertation]. Oregon State University; 1990. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1957/37093.

Council of Science Editors:

Feng Y. A continuum model of plant root growth. [Doctoral Dissertation]. Oregon State University; 1990. Available from: http://hdl.handle.net/1957/37093

University of Aberdeen

3. Ahonsi, Bright. On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies.

Degree: PhD, 2011, University of Aberdeen

URL: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152887710005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553753

► The propagation of stress waves in long polymer rods forms the basis of two major experimental techniques. The first is a modified Split-Hopkinson pressure bar… (more)

Subjects/Keywords: 620.1124; Stress waves; Continuum mechanics

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APA (6^th Edition):

Ahonsi, B. (2011). On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies. (Doctoral Dissertation). University of Aberdeen. Retrieved from https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152887710005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553753

Chicago Manual of Style (16^th Edition):

Ahonsi, Bright. “On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies.” 2011. Doctoral Dissertation, University of Aberdeen. Accessed January 15, 2021. https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152887710005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553753.

MLA Handbook (7^th Edition):

Ahonsi, Bright. “On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies.” 2011. Web. 15 Jan 2021.

Vancouver:

Ahonsi B. On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies. [Internet] [Doctoral dissertation]. University of Aberdeen; 2011. [cited 2021 Jan 15]. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152887710005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553753.

Council of Science Editors:

Ahonsi B. On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies. [Doctoral Dissertation]. University of Aberdeen; 2011. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12152887710005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.553753

University of Texas – Austin

4. Karki, Pravat. An integrated approach to measure and model fatigue damage and healing in asphalt composites.

Degree: PhD, Civil Engineering, 2014, University of Texas – Austin

URL: http://hdl.handle.net/2152/31322

► This study presents a test and analysis method to determine both damage and healing characteristics of asphalt composites using the same test specimen. The test… (more)

Subjects/Keywords: Fatigue; Continuum Damage Mechanics; Healing

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APA (6^th Edition):

Karki, P. (2014). An integrated approach to measure and model fatigue damage and healing in asphalt composites. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/31322

Chicago Manual of Style (16^th Edition):

Karki, Pravat. “An integrated approach to measure and model fatigue damage and healing in asphalt composites.” 2014. Doctoral Dissertation, University of Texas – Austin. Accessed January 15, 2021. http://hdl.handle.net/2152/31322.

MLA Handbook (7^th Edition):

Karki, Pravat. “An integrated approach to measure and model fatigue damage and healing in asphalt composites.” 2014. Web. 15 Jan 2021.

Vancouver:

Karki P. An integrated approach to measure and model fatigue damage and healing in asphalt composites. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2014. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/2152/31322.

Council of Science Editors:

Karki P. An integrated approach to measure and model fatigue damage and healing in asphalt composites. [Doctoral Dissertation]. University of Texas – Austin; 2014. Available from: http://hdl.handle.net/2152/31322

University of Tennessee – Knoxville

5. Till, John Daniel. On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes.

Degree: 2019, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/5379

► This dissertation presents advances in continuum-robotic mathematical-modeling techniques. Specifically, problems of statics, dynamics, and stability are studied for robots with slender elastic links. The general… (more)

Subjects/Keywords: Robotics; Continuum Mechanics; Continuum Robots; Partial Differential Equations

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APA (6^th Edition):

Till, J. D. (2019). On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/5379

Chicago Manual of Style (16^th Edition):

Till, John Daniel. “On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes.” 2019. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed January 15, 2021. https://trace.tennessee.edu/utk_graddiss/5379.

MLA Handbook (7^th Edition):

Till, John Daniel. “On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes.” 2019. Web. 15 Jan 2021.

Vancouver:

Till JD. On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2019. [cited 2021 Jan 15]. Available from: https://trace.tennessee.edu/utk_graddiss/5379.

Council of Science Editors:

Till JD. On the Statics, Dynamics, and Stability of Continuum Robots: Model Formulations and Efficient Computational Schemes. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2019. Available from: https://trace.tennessee.edu/utk_graddiss/5379

Carnegie Mellon University

6. Seguin, Brian. Frame-Free Continuum Thermomechanics.

Degree: 2010, Carnegie Mellon University

URL: http://repository.cmu.edu/dissertations/84

► The principle of material frame-indifference is a fundamental concept in classical physics. In 1972 Walter Noll showed that one can formulate constitutive laws without using… (more)

Subjects/Keywords: Continuum Mechanics; Thermomechanics; Frame-Indifference; Mathematics

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APA (6^th Edition):

Seguin, B. (2010). Frame-Free Continuum Thermomechanics. (Thesis). Carnegie Mellon University. Retrieved from http://repository.cmu.edu/dissertations/84

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Seguin, Brian. “Frame-Free Continuum Thermomechanics.” 2010. Thesis, Carnegie Mellon University. Accessed January 15, 2021. http://repository.cmu.edu/dissertations/84.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Seguin, Brian. “Frame-Free Continuum Thermomechanics.” 2010. Web. 15 Jan 2021.

Vancouver:

Seguin B. Frame-Free Continuum Thermomechanics. [Internet] [Thesis]. Carnegie Mellon University; 2010. [cited 2021 Jan 15]. Available from: http://repository.cmu.edu/dissertations/84.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Seguin B. Frame-Free Continuum Thermomechanics. [Thesis]. Carnegie Mellon University; 2010. Available from: http://repository.cmu.edu/dissertations/84

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

7. Zhao, Qiangsheng. Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid.

Degree: Mechanical Engineering, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/1cp328r3

► The diffusion of liquid and gas through porous solids is of considerable technological interest and has been investigated for decades in a wide spectrum of… (more)

▼ The diffusion of liquid and gas through porous solids is of considerable technological interest and has been investigated for decades in a wide spectrum of disciplines encompassing chemical, civil, mechanical, and petroleum engineering. Porous solids of interest are made of either natural materials (e.g., soil, sand) or man-made materials (e.g., industrial filters, membranes). In both cases, liquids (e.g., water, crude oil) and gases (e.g., air, oxygen, natural gas) are driven through the voids in the porous solid by naturally or artificially induced pressure. Nafion⃝R is an important example of a well-characterized man-made porous medium due to its extensive use in proton- exchange membrane fuel cells. Here, while the fuel cell is in operation, a mixture of air and water diffuses through the pores of a Nafion⃝R membrane. The efficiency of the fuel cell is affected by the variation in water concentration. In addition, high water concentration has been experimen- tally shown to cause substantial volumetric deformation (swelling) of the membrane, which may compromise the integrity of the device.In this dissertation, a continuum approach for modeling diffusion of fluid through a porous elastic solid is proposed. All balance laws are formulated relative to the frame of a macroscopic solid resulting from the homogenization of the dry solid and the voids. When modeling only liquid diffusion through the macroscopic solid, the displacement of the macroscopic solid and the liquid volume fraction are chosen to characterize the state of the porous medium, and Fick's law is used as the governing equation for liquid flow. When modeling multiphase diffusion through the macroscopic solid, the displacement of the solid, the gas pressure and the liquid saturation are chosen as state variables, and both fluid diffusions are assumed to follow Darcy's law. Both single phase and multiphase diffusion models are implemented in the finite element method, and tested with various loading conditions on different types of materials. Numerical simulation results are presented to show the predictive capability of the two models.

Subjects/Keywords: Mechanics; continuum; diffusion; elastic; fluid; porous

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APA (6^th Edition):

Zhao, Q. (2013). Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/1cp328r3

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zhao, Qiangsheng. “Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid.” 2013. Thesis, University of California – Berkeley. Accessed January 15, 2021. http://www.escholarship.org/uc/item/1cp328r3.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zhao, Qiangsheng. “Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid.” 2013. Web. 15 Jan 2021.

Vancouver:

Zhao Q. Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Jan 15]. Available from: http://www.escholarship.org/uc/item/1cp328r3.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zhao Q. Continuum approach for modeling and simulation of fluid diffusion through a porous finite elastic solid. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/1cp328r3

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

8. Mansouri, Hamza. Stress–Based Torque and Drag Model.

Degree: MS, Petroleum Engineering, 2017, Texas A&M University

URL: http://hdl.handle.net/1969.1/187234

► The models used currently in industry have shown a considerable discrepancy between theoretical data and actual data observed in the field. The birth of torque… (more)

▼ The models used currently in industry have shown a considerable discrepancy between theoretical data and actual data observed in the field. The birth of torque and drag (T&D) modeling was in 1984 in Exxon Production Research Company, and was published by C.A Johancsik. It provided the first mechanical model as well as an illustration of the origin of torque and drag forces. Johancsik’s paper stated that these resisting forces originate from the friction of the drill string against the wellbore and depend on the drill string weight supported by the borehole. Many subsequent models adopted the same concept including some improvements. In this work, a new approach of torque and drag calculation is proposed. It consists of taking the forces acting on the drill string and converting them into resulting stresses on the pipe body, and transferring the stress tensor from one segment to the next using continuum mechanics geometrical transformations. The stress tensors are accumulated to yield the resulting stress acting on an element of the drill string in a given depth of the well. The back calculation from stress to forces allows deriving the cumulative traction and compression forces, and thus drag and torque. This approach has two main advantages over the discrete method proposed by Johancsik. First, when a force is applied on a body it propagates through the body, therefore, even if the force is axial, a portion of it is going to act normally and vice versa. Consequently, the axial force Johancsik is calculating does not fully act in the same axis, and the same can be said about the forces in the other directions. In this case, it is more physically representative to base the analysis on stress and not forces. Second, continuum mechanics provides a sound tool in handling geometries through stress tensor transformation matrices used in our model, instead of the angular approximations for inclination and azimuth used in Johancsik's equations. A comparison between the two models for a real field case is included to show the relative under-prediction of the old model compared to the proposed model and actual data. Advisors/Committee Members: Noynaert, Samuel F (advisor), Schubert, Jerome (committee member), Barrufet, Maria (committee member).

Subjects/Keywords: Torque; Drag; Model; Stress; Continuum; Mechanics

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APA (6^th Edition):

Mansouri, H. (2017). Stress–Based Torque and Drag Model. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/187234

Chicago Manual of Style (16^th Edition):

Mansouri, Hamza. “Stress–Based Torque and Drag Model.” 2017. Masters Thesis, Texas A&M University. Accessed January 15, 2021. http://hdl.handle.net/1969.1/187234.

MLA Handbook (7^th Edition):

Mansouri, Hamza. “Stress–Based Torque and Drag Model.” 2017. Web. 15 Jan 2021.

Vancouver:

Mansouri H. Stress–Based Torque and Drag Model. [Internet] [Masters thesis]. Texas A&M University; 2017. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1969.1/187234.

Council of Science Editors:

Mansouri H. Stress–Based Torque and Drag Model. [Masters Thesis]. Texas A&M University; 2017. Available from: http://hdl.handle.net/1969.1/187234

Florida Atlantic University

9. Yakunin, Konstantin. Gravitational signature of core-collapse supernova results of CHIMERA simulations.

Degree: PhD, 2011, Florida Atlantic University

URL: http://purl.flvc.org/FAU/3322512

►

Summary: Core-collapse supernovae (CCSN) are among the most energetic explosions in the universe, liberating ~1053 erg of gravitational binding energy of the stellar core. Most… (more)

▼

Summary: Core-collapse supernovae (CCSN) are among the most energetic explosions in the universe, liberating ~1053 erg of gravitational binding energy of the stellar core. Most of this energy ( ~99%) is emitted in neutrinos and only 1% is released as electromagnetic radiation in the visible spectrum. Energy radiated in the form of gravitational waves (GWs) is about five orders smaller. Nevertheless, this energy corresponds to a very strong GW signal and, because of this CCSN are considered as one of the prime sources of gravitational waves for interferometric detectors. Gravitational waves can give us access to the electromagnetically hidden compact inner core of supernovae. They will provide valuable information about the angular momentum distribution and the baryonic equation of state, both of which are uncertain. Furthermore, they might even help to constrain theoretically predicted SN mechanisms. Detection of GW signals and analysis of the observations will require realistic signal predi ctions from the non-parameterized relativistic numerical simulations of CCSN. This dissertation presents the gravitational wave signature of core-collapse v supernovae. Previous studies have considered either parametric models or nonexploding models of CCSN. This work presents complete waveforms, through the explosion phase, based on first-principles models for the first time. We performed 2D simulations of CCSN using the CHIMERA code for 12, 15, and 25M non-rotating progenitors. CHIMERA incorporates most of the criteria for realistic core-collapse modeling, such as multi-frequency neutrino transport coupled with relativistic hydrodynamics, eective GR potential, nuclear reaction network, and an industry-standard equation of state.

Summary: Based on the results of our simulations, I produced the most realistic gravitational waveforms including all postbounce phases of core-collapse supernovae: the prompt convection, the stationary accretion shock instability, and the corresponding explosion. Additionally, the tracer particles applied in the analysis of the GW signal reveal the origin of low-frequency component in the prompt part of gravitational waveform. Analysis of detectability of the GW signature from a Galactic event shows that the signal is within the band-pass of current and future GW observatories such as AdvLIGO, advanced Virgo, and LCGT.

Electronic reproduction. Boca Raton, Fla., 200?.

Subjects/Keywords: Mathematical physics; Continuum mechanics; Supernovae – Mathematical models

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APA (6^th Edition):

Yakunin, K. (2011). Gravitational signature of core-collapse supernova results of CHIMERA simulations. (Doctoral Dissertation). Florida Atlantic University. Retrieved from http://purl.flvc.org/FAU/3322512

Chicago Manual of Style (16^th Edition):

Yakunin, Konstantin. “Gravitational signature of core-collapse supernova results of CHIMERA simulations.” 2011. Doctoral Dissertation, Florida Atlantic University. Accessed January 15, 2021. http://purl.flvc.org/FAU/3322512.

MLA Handbook (7^th Edition):

Yakunin, Konstantin. “Gravitational signature of core-collapse supernova results of CHIMERA simulations.” 2011. Web. 15 Jan 2021.

Vancouver:

Yakunin K. Gravitational signature of core-collapse supernova results of CHIMERA simulations. [Internet] [Doctoral dissertation]. Florida Atlantic University; 2011. [cited 2021 Jan 15]. Available from: http://purl.flvc.org/FAU/3322512.

Council of Science Editors:

Yakunin K. Gravitational signature of core-collapse supernova results of CHIMERA simulations. [Doctoral Dissertation]. Florida Atlantic University; 2011. Available from: http://purl.flvc.org/FAU/3322512

10. Reberg, Andrew Steven. An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects.

Degree: 2013, North Dakota State University

URL: http://hdl.handle.net/10365/26994

► It is well known that the formation and propagation of microcracks within concrete is anisotropic in nature, and has a degrading effect on its mechanical… (more)

Subjects/Keywords: Anisotropy; Continuum damage mechanics; Concrete – Fatigue

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APA (6^th Edition):

Reberg, A. S. (2013). An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects. (Thesis). North Dakota State University. Retrieved from http://hdl.handle.net/10365/26994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Reberg, Andrew Steven. “An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects.” 2013. Thesis, North Dakota State University. Accessed January 15, 2021. http://hdl.handle.net/10365/26994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Reberg, Andrew Steven. “An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects.” 2013. Web. 15 Jan 2021.

Vancouver:

Reberg AS. An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects. [Internet] [Thesis]. North Dakota State University; 2013. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10365/26994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Reberg AS. An Anisotropic Damage Mechanics Model for Concrete with Applications for Fatigue Loading and Freeze-Thaw Effects. [Thesis]. North Dakota State University; 2013. Available from: http://hdl.handle.net/10365/26994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Victoria

11. Fahim Golestaneh, Amirreza. Modeling of cell adhesion and deformation mediated by receptor-ligand interaction.

Degree: Department of Mechanical Engineering, 2015, University of Victoria

URL: http://hdl.handle.net/1828/6706

► Cell adhesion to a substrate or another cell plays an important role in the activities of the cell, such as cell growth, cell migration and… (more)

▼ Cell adhesion to a substrate or another cell plays an important role in the activities of the cell, such as cell growth, cell migration and cell signaling and communication with extracellular environment or other cells. The adhesion of the cell to the extracellular matrix also plays a vital role in life, as it involves in healing process of a wound and formation of the blood clot inside a vessel. The spread of cancer metastasis tumors inside the body is mostly dependent on the mechanisms of the cell adhesion. The current work is devoted to studying deformation and adhesion of the cell membrane mediated by receptors and ligands in order to enhance the existing models. In fact phospholipid molecules as the constructive units of the cell membrane grant sufficient in-plane continuity and fluidity to the cell membrane that it can be acceptably modeled as a continuum fluid medium. Therefore a two dimensional isotropic continuum fluid model is proposed in here for cell under implementation of membrane theory. In accordance to lack of sufficient study on direct effect of presence of receptors on membrane dilation, the developed model engages the intensity of presence of receptors with membrane deformation and adhesion. This influence is considered through introduction of spontaneous areal dilation. Another innovation is introduced regarding conception of receptor-ligand bonds formation such that a nonlinear constitutive relation is developed for binding force based on charge-induced dipole interaction, which is physically admissible. This relation becomes also enriched by considering one-to-one shielding phenomenon. Diffusion of the receptors is formulated along the membrane under the influence of receptor-receptor and receptor-ligand interactions. Then the presented models in this work are implemented to an axisymmetric configuration of a cell to study the deformation and adhesion of its membrane. Another target of this work is to clarify the impacts of variety of material, binding and diffusion constitutive factors on membrane deformation and adhesion and to declare a rational comparison among them. Advisors/Committee Members: Nadler, Ben (supervisor).

Subjects/Keywords: Continuum Mechanics; Cell Adhesion; Theoretical Modeling

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APA (6^th Edition):

Fahim Golestaneh, A. (2015). Modeling of cell adhesion and deformation mediated by receptor-ligand interaction. (Thesis). University of Victoria. Retrieved from http://hdl.handle.net/1828/6706

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fahim Golestaneh, Amirreza. “Modeling of cell adhesion and deformation mediated by receptor-ligand interaction.” 2015. Thesis, University of Victoria. Accessed January 15, 2021. http://hdl.handle.net/1828/6706.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fahim Golestaneh, Amirreza. “Modeling of cell adhesion and deformation mediated by receptor-ligand interaction.” 2015. Web. 15 Jan 2021.

Vancouver:

Fahim Golestaneh A. Modeling of cell adhesion and deformation mediated by receptor-ligand interaction. [Internet] [Thesis]. University of Victoria; 2015. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1828/6706.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fahim Golestaneh A. Modeling of cell adhesion and deformation mediated by receptor-ligand interaction. [Thesis]. University of Victoria; 2015. Available from: http://hdl.handle.net/1828/6706

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Drexel University

12. Rastgoftar, Hossein. A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems.

Degree: 2015, Drexel University

URL: http://hdl.handle.net/1860/idea:7074

►

In this dissertation, new algorithms for formation control of multi agent systems (MAS) based on continuum mechanics principles will be suggested. For this purpose, agents… (more)

Subjects/Keywords: Mechanical engineering; Multiagent systems; Continuum mechanics

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APA (6^th Edition):

Rastgoftar, H. (2015). A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems. (Thesis). Drexel University. Retrieved from http://hdl.handle.net/1860/idea:7074

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Rastgoftar, Hossein. “A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems.” 2015. Thesis, Drexel University. Accessed January 15, 2021. http://hdl.handle.net/1860/idea:7074.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Rastgoftar, Hossein. “A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems.” 2015. Web. 15 Jan 2021.

Vancouver:

Rastgoftar H. A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems. [Internet] [Thesis]. Drexel University; 2015. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1860/idea:7074.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rastgoftar H. A Continuum Framework and Homogeneous Map Based Algorithms for Formation Control of Multi Agent Systems. [Thesis]. Drexel University; 2015. Available from: http://hdl.handle.net/1860/idea:7074

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

13. Powell, Michael Joseph. Internal Polar Continuum Theories for Solid and Fluent Continua.

Degree: PhD, Civil Engineering, 2016, Texas A&M University

URL: http://hdl.handle.net/1969.1/159102

► Classical continuum theories are useful in the study of a variety of problems of engineering and applied sciences. However, the emergence of new materials has… (more)

▼ Classical continuum theories are useful in the study of a variety of problems of engineering and applied sciences. However, the emergence of new materials has provided the need for refined theories that account for certain features that are not accounted for in the classical continuum theories. Polar decomposition of the deformation gradient tensor into pure stretch and pure rotation tensors shows that the rotation tensor will in general vary from point to point. Similarly, polar decomposition of the velocity gradient tensor shows that the rate of rotation tensor will vary from point to point. It can also be shown that the strain and strain rate tensors used in classical theories of continuum mechanics do not depend on the rotation tensor or its gradients and therefore neglect the effect of changing rotations and rates of rotations between neighboring material points in Lagrangian description, and between neighboring locations in Eulerian description. Varying rotations and rates of rotations between neighboring material points will, if resisted by the continua, result in internal moments which are conjugate to these rotations and rates of rotations. These internal moments along with the conjugate rotations and rates of rotations will result in energy storage and dissipation, in addition to the energy storage and dissipation resulting from stress and its conjugate strain and strain rate. Based on this observation, it is necessary to modify the existing conservation and balance laws to include internal moments, which results in a more complete thermodynamic framework for solid and fluent continua. In this work, new conservation and balance laws are derived for solid and fluent continua that include internal moments which result from varying rotations and rotation rates. Also, constitutive theories are derived for the stress tensor, moment tensor, and heat vector, resulting in a complete mathematical model internal polar thermoelastic solids and internal polar thermoviscous fluids. This derivation does not rely on the introduction of external micro-rotations or stress couples as is done in the so called micro-polar or couple-stress theories. The theories presented here are therefore referred to as “internal polar continuum theories”, as they are derived using only internal measures of deformation and do not require introduction of external degrees of freedom. We also present a framework for obtaining approximate solutions to the mathematical models resulting from the new continuum theories. Numeric results are presented to show the affect of the internal polar theories presented here. Advisors/Committee Members: Reddy, JN (advisor), Fry, Gary (committee member), Hueste, Mary Beth (committee member), Hogan, Harry (committee member).

Subjects/Keywords: Continuum Mechanics; Non-classical continuum mechanics; polar theory; rotations; rates of rotations

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APA (6^th Edition):

Powell, M. J. (2016). Internal Polar Continuum Theories for Solid and Fluent Continua. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/159102

Chicago Manual of Style (16^th Edition):

Powell, Michael Joseph. “Internal Polar Continuum Theories for Solid and Fluent Continua.” 2016. Doctoral Dissertation, Texas A&M University. Accessed January 15, 2021. http://hdl.handle.net/1969.1/159102.

MLA Handbook (7^th Edition):

Powell, Michael Joseph. “Internal Polar Continuum Theories for Solid and Fluent Continua.” 2016. Web. 15 Jan 2021.

Vancouver:

Powell MJ. Internal Polar Continuum Theories for Solid and Fluent Continua. [Internet] [Doctoral dissertation]. Texas A&M University; 2016. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1969.1/159102.

Council of Science Editors:

Powell MJ. Internal Polar Continuum Theories for Solid and Fluent Continua. [Doctoral Dissertation]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/159102

University of Cambridge

14. Cawthorn, Christopher John. Several applications of a model for dense granular flows.

Degree: PhD, 2011, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/245044https://www.repository.cam.ac.uk/bitstream/1810/245044/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245044/4/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/5/thesis.pdf.jpg

► This dissertation describes efforts to evaluate a recently proposed continuum model for the dense flow of dry granular materials (Jop, Forterre & Pouliquen, 2006, Nature,… (more)

▼ This dissertation describes efforts to evaluate a recently proposed continuum model for the dense flow of dry granular materials (Jop, Forterre & Pouliquen, 2006, Nature, 441, 167-192). The model, based upon a generalisation of Coulomb sliding friction, is known to perform well when modelling certain simple free surface flows. We extend the application of this model to a wide range of flow configurations, beginning with six simple flows studied in detailed experiments (GDR MiDi, 2004, Eur. Phys. J. E, 14, 341-366). Two-dimensional shearing flows and problems of linear stability are also addressed. These examples are used to underpin a thorough discussion of the strengths and weaknesses of the model. In order to calculate the behaviour of granular material in more complicated configurations, it is necessary to undertake a numerical solution. We discuss several computational techniques appropriate to the model, with careful attention paid to the evolution of any shear-free regions that may arise. In addition, we develop a numerical scheme, based upon a marker-and-cell method, that is capable of modelling two-dimensional granular flow with a moving free surface. A detailed discussion of our unsuccessful attempt to construct a scheme based upon Lagrangian finite elements is presented in an appendix. We apply the marker-and-cell code to the key problem of granular slumping (Balmforth & Kerswell, 2005, J. Fluid Mech., 538, 399-428), which has hitherto resisted explanation by modelling approaches based on various reduced (shallow water) models. With our numerical scheme, we are able to lift the assumptions required for other models, and make predictions in good qualitative agreement with the experimental data. An additional chapter describes the largely unrelated problem of contact between two objects separated by a viscous fluid. Although classical lubrication theory suggests that two locally smooth objects converging under gravity will make contact only after infinite time, we discuss several physical effects that may promote contact in finite time. Detailed calculations are presented to illustrate how the presence of a sharp asperity can modify the approach to contact.

Subjects/Keywords: continuum mechanics; fluid mechanics; granular dynamics; avalanches; dune formation; viscous flow

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APA (6^th Edition):

Cawthorn, C. J. (2011). Several applications of a model for dense granular flows. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/245044https://www.repository.cam.ac.uk/bitstream/1810/245044/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245044/4/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/5/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Cawthorn, Christopher John. “Several applications of a model for dense granular flows.” 2011. Doctoral Dissertation, University of Cambridge. Accessed January 15, 2021. https://www.repository.cam.ac.uk/handle/1810/245044https://www.repository.cam.ac.uk/bitstream/1810/245044/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245044/4/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/5/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Cawthorn, Christopher John. “Several applications of a model for dense granular flows.” 2011. Web. 15 Jan 2021.

Vancouver:

Cawthorn CJ. Several applications of a model for dense granular flows. [Internet] [Doctoral dissertation]. University of Cambridge; 2011. [cited 2021 Jan 15]. Available from: https://www.repository.cam.ac.uk/handle/1810/245044https://www.repository.cam.ac.uk/bitstream/1810/245044/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245044/4/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/5/thesis.pdf.jpg.

Council of Science Editors:

Cawthorn CJ. Several applications of a model for dense granular flows. [Doctoral Dissertation]. University of Cambridge; 2011. Available from: https://www.repository.cam.ac.uk/handle/1810/245044https://www.repository.cam.ac.uk/bitstream/1810/245044/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/3/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/245044/4/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/245044/5/thesis.pdf.jpg

Columbia University

15. Xiao, Junfeng. The Stability at the Solid-Solid and Liquid-Solid Interfaces.

Degree: 2016, Columbia University

URL: https://doi.org/10.7916/D8KK9BS1

► In this thesis, we studied three small subjects in the realm of continuum mechanics: imbibition in fluid mechanics, beam and rod buckling in solid mechanics… (more)

▼ In this thesis, we studied three small subjects in the realm of continuum mechanics: imbibition in fluid mechanics, beam and rod buckling in solid mechanics and shell buckling at the solid-liquid interface. In chapter 2, we examined the radial imbibition into a homogenous semi-infinite porous media from a point source with infinite liquid supply. We proved that in the absence of gravity (or in the regime while gravity is negligible compared to surface tension), the shape of the wet area is a hemisphere, and the radius of the wet area evolves as a function with respect to time. This new law with respect to time has been verified by Finite Element Method simulation in software COMSOL and a series of experiments using packed glass microsphere as the porous media. We also found that even though the imbibition slows down, the flow rate through the point source remains constant. This new result for three dimensional radial imbibition complements the classic Lucas-Washburn law in one dimension and two dimensional radial imbibition in one plane. In chapter 3, we studied the elastic beam/rod buckling under lateral constraints in two dimension as well as in three dimension. For the two dimensional case with unique boundary conditions at both ends, the buckled beam can be divided into segments with alternate curved section and straight section. The curved section can be solved by the Euler beam equation. The straight sections, however, are key to the transition between different buckling modes, and the redistributed length of straight sections sets the upper limit and lower limit for the transition. We compared our theoretical model of varying straight sections with Finite Element Method simulation in software ABAQUS, and good agreements are found. We then attempted to employ this model as an explanation with qualitative feasibility for the crawling snake in horizontal plane between parallel walls, which shows unique shape like square wave. For the three dimensional buckling beam/rod confined in cylindrical constraints, three stages are found for the buckling and post buckling processes: initial two dimensional shape, three dimensional spiral/helix shape and final foldup/alpha shape. We characterized the shape at each stage, and then we calculated the transition points between the three stages using geometrical arguments for energy arguments. The theoretical analysis for three dimensional beam/rod are also complemented with Finite Element Method simulations from ABAQUS. In chapter 4, we investigated the buckling shape of solid shell filled with liquid core in two dimension and three dimension. A material model for liquid is first described that can be readily incorporated in the framework of solid mechanics. We then applied this material model in two dimensional and three dimensional Finite Element Method simulation using software ABAQUS. For the two dimensional liquid core solid shell model, a linear analysis is first performed to identify that ellipse corresponds to lowest order of buckling with smallest…

Subjects/Keywords: Fluid mechanics; Interfaces (Physical sciences); Continuum mechanics; Mechanical engineering

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APA (6^th Edition):

Xiao, J. (2016). The Stability at the Solid-Solid and Liquid-Solid Interfaces. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8KK9BS1

Chicago Manual of Style (16^th Edition):

Xiao, Junfeng. “The Stability at the Solid-Solid and Liquid-Solid Interfaces.” 2016. Doctoral Dissertation, Columbia University. Accessed January 15, 2021. https://doi.org/10.7916/D8KK9BS1.

MLA Handbook (7^th Edition):

Xiao, Junfeng. “The Stability at the Solid-Solid and Liquid-Solid Interfaces.” 2016. Web. 15 Jan 2021.

Vancouver:

Xiao J. The Stability at the Solid-Solid and Liquid-Solid Interfaces. [Internet] [Doctoral dissertation]. Columbia University; 2016. [cited 2021 Jan 15]. Available from: https://doi.org/10.7916/D8KK9BS1.

Council of Science Editors:

Xiao J. The Stability at the Solid-Solid and Liquid-Solid Interfaces. [Doctoral Dissertation]. Columbia University; 2016. Available from: https://doi.org/10.7916/D8KK9BS1

Columbia University

16. Tao, Yunzhe. Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling.

Degree: 2019, Columbia University

URL: https://doi.org/10.7916/d8-zkmj-bw70

► As alternatives to partial differential equations (PDEs), nonlocal continuum models given in integral forms avoid the explicit use of conventional spatial derivatives and allow solutions… (more)

Subjects/Keywords: Mathematics; Continuum mechanics; Fracture mechanics; Mathematical models; Neumann problem

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APA (6^th Edition):

Tao, Y. (2019). Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-zkmj-bw70

Chicago Manual of Style (16^th Edition):

Tao, Yunzhe. “Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling.” 2019. Doctoral Dissertation, Columbia University. Accessed January 15, 2021. https://doi.org/10.7916/d8-zkmj-bw70.

MLA Handbook (7^th Edition):

Tao, Yunzhe. “Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling.” 2019. Web. 15 Jan 2021.

Vancouver:

Tao Y. Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling. [Internet] [Doctoral dissertation]. Columbia University; 2019. [cited 2021 Jan 15]. Available from: https://doi.org/10.7916/d8-zkmj-bw70.

Council of Science Editors:

Tao Y. Nonlocal Neumann volume-constrained problems and their application to local-nonlocal coupling. [Doctoral Dissertation]. Columbia University; 2019. Available from: https://doi.org/10.7916/d8-zkmj-bw70

Columbia University

17. Mobasher, Mostafa. Enhanced continuum damage modeling of mechanical failure in ice and rocks.

Degree: 2017, Columbia University

URL: https://doi.org/10.7916/D85D94B8

► Modeling fracture in geomaterials is essential to the understanding of many physical phenomenon which may posses natural hazards e.g. landslides, faults and iceberg calving or… (more)

▼ Modeling fracture in geomaterials is essential to the understanding of many physical phenomenon which may posses natural hazards e.g. landslides, faults and iceberg calving or man-made processes e.g. hydraulic fracture and excavations. Continuum Damage Mechanics (CDM) models the crack as a solid region with a degraded stiffness. This continuum definition of cracks in CDM allows more feasible coupling with other forms of material non-linearity and eliminates the need to track complicated crack geometry. Using CDM to analyze fracture for the modeling of fracture in geomaterials encounters several challenges e.g.: 1) the need to model the multiple physical processes occurring in geomaterials, typically: coupled fluid flow and solid deformation, 2) the need to consider non-local damage and transport in order to capture the underlying long range interactions and achieve mesh-independent finite element solutions and 3) the elevated computational cost associated with non-linear mixed finite element formulations. The research presented in this thesis aims at improving the CDM formulations for modeling fracture geomaterials. This research can be divided into three main parts. The first is the introduction of a novel non-local damage transport formulation for modeling fracture in poroelastic media. The mathematical basis of the formulation are derived from thermodynamic equilibrium that considers non-local processes and homogenization principles. The non-local damage transport model leads to two additional regularization equations, one for non-local damage and the other for non-local transport which is reduced to non-local permeability. We consider two options for the implementation of the derived non-local transport damage model. The first option is the four-field formulation which extends the (u/P) formulation widely used in poroelasticity to include the non-local damage and transport phenomena. The second option is the three-field formulation, which is based on the coupling of the regularization equations under the assumptions of similar damage and permeability length scales and similar driving local stress/strain for the evolution of the damage and permeability. The three-field formulation is computationally cheaper but it degrades the physical modeling capabilities of the model. For each of these formulations, a non-linear mixed-finite element solution is developed and the Jacobian matrix is derived analytically. The developed formulations are used in the analysis of hydraulic fracture and consolidation examples. In the second part, a novel approach for CDM modeling of hydraulic fracture of glaciers is pretended. The presence of water-filled crevasses is known to increase the penetration depth of crevasses and this has been hypothesized to play an important role controlling iceberg calving rate. Here, we develop a continuum damage-based poro-mechanics formulation that enables the simulation of water-filled basal and/or surface crevasse propagation. The formulation incorporates a scalar isotropic damage…

Subjects/Keywords: Continuum damage mechanics – Mathematical models; Fracture mechanics; Rocks – Fracture

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APA (6^th Edition):

Mobasher, M. (2017). Enhanced continuum damage modeling of mechanical failure in ice and rocks. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D85D94B8

Chicago Manual of Style (16^th Edition):

Mobasher, Mostafa. “Enhanced continuum damage modeling of mechanical failure in ice and rocks.” 2017. Doctoral Dissertation, Columbia University. Accessed January 15, 2021. https://doi.org/10.7916/D85D94B8.

MLA Handbook (7^th Edition):

Mobasher, Mostafa. “Enhanced continuum damage modeling of mechanical failure in ice and rocks.” 2017. Web. 15 Jan 2021.

Vancouver:

Mobasher M. Enhanced continuum damage modeling of mechanical failure in ice and rocks. [Internet] [Doctoral dissertation]. Columbia University; 2017. [cited 2021 Jan 15]. Available from: https://doi.org/10.7916/D85D94B8.

Council of Science Editors:

Mobasher M. Enhanced continuum damage modeling of mechanical failure in ice and rocks. [Doctoral Dissertation]. Columbia University; 2017. Available from: https://doi.org/10.7916/D85D94B8

University of Hong Kong

18. Wang, Chun. Development of an anisotropic damage mechanics model in ductile fracture.

Degree: 1987, University of Hong Kong

URL: http://hdl.handle.net/10722/34506

Subjects/Keywords: Fracture mechanics.; Continuum damage mechanics.

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APA (6^th Edition):

Wang, C. (1987). Development of an anisotropic damage mechanics model in ductile fracture. (Thesis). University of Hong Kong. Retrieved from http://hdl.handle.net/10722/34506

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wang, Chun. “Development of an anisotropic damage mechanics model in ductile fracture.” 1987. Thesis, University of Hong Kong. Accessed January 15, 2021. http://hdl.handle.net/10722/34506.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wang, Chun. “Development of an anisotropic damage mechanics model in ductile fracture.” 1987. Web. 15 Jan 2021.

Vancouver:

Wang C. Development of an anisotropic damage mechanics model in ductile fracture. [Internet] [Thesis]. University of Hong Kong; 1987. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10722/34506.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wang C. Development of an anisotropic damage mechanics model in ductile fracture. [Thesis]. University of Hong Kong; 1987. Available from: http://hdl.handle.net/10722/34506

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Colorado

19. Shahabi, Farhad. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.

Degree: PhD, 2017, University of Colorado

URL: https://scholar.colorado.edu/cven_gradetds/404

► This study stands as an attempt to consider the micro-structure of materials in a continuum framework by the aid of micromorphic continuum theory in… (more)

Subjects/Keywords: dynamics; elastoplasticity; finite element analysis; large deformation; micromorphic continuum; micropolar continuum; Applied Mechanics; Mechanical Engineering

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APA (6^th Edition):

Shahabi, F. (2017). Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/cven_gradetds/404

Chicago Manual of Style (16^th Edition):

Shahabi, Farhad. “Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 15, 2021. https://scholar.colorado.edu/cven_gradetds/404.

MLA Handbook (7^th Edition):

Shahabi, Farhad. “Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.” 2017. Web. 15 Jan 2021.

Vancouver:

Shahabi F. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 15]. Available from: https://scholar.colorado.edu/cven_gradetds/404.

Council of Science Editors:

Shahabi F. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/cven_gradetds/404

University of Colorado

20. Shahabi, Farhad. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.

Degree: PhD, 2017, University of Colorado

URL: https://scholar.colorado.edu/cven_gradetds/96

► This study stands as an attempt to consider the micro-structure of materials in a continuum framework by the aid of micromorphic continuum theory in the… (more)

Subjects/Keywords: Dynamics; Elastoplasticity; Finite Element Analysis; Large Deformation; Micromorphic Continuum; Micropolar Continuum; Engineering Mechanics; Mechanical Engineering

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Shahabi, F. (2017). Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/cven_gradetds/96

Chicago Manual of Style (16^th Edition):

Shahabi, Farhad. “Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 15, 2021. https://scholar.colorado.edu/cven_gradetds/96.

MLA Handbook (7^th Edition):

Shahabi, Farhad. “Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis.” 2017. Web. 15 Jan 2021.

Vancouver:

Shahabi F. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 15]. Available from: https://scholar.colorado.edu/cven_gradetds/96.

Council of Science Editors:

Shahabi F. Finite Strain Micromorphic Elasticity, Elastoplasticity, and Dynamics for Multiscale Finite Element Analysis. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/cven_gradetds/96

21. Gniewek, Pawel. Mechanics of Confined Microbial Populations.

Degree: Biophysics, 2018, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/48f65099

► Living systems offer a richness of behaviors that are of broad interest to many fields of science. For instance, cells that are dwelling in their… (more)

▼ Living systems offer a richness of behaviors that are of broad interest to many fields of science. For instance, cells that are dwelling in their natural environment are mostly subject not only to the scarcity of energy resources, but also the space in which they can grow and live. This space limitation eventually leads to the emergence of contact forces (mechanical stress) between neighboring cells or the cells and their confining environment. These emergent forces may further have a crucial impact on the cells' biology, the dynamics of the whole population, or even the integrity of confinement (resulting in the remodeling of the environment). Even though the general importance of these forces has been widely recognized, technical difficulties and the complexity of the emergent phenomena prevented much progress in this direction. In this thesis, using mostly computer simulations, I make steps towards overcoming these barriers. In the first part of this thesis, I describe, on the coarse level, how the geometric properties of micro-confinement entails clogging of the microbial populations of Saccharomyces cerevisiae. These clogged populations are found to be quite disordered, with intermittent growth dynamics and heterogeneous mechanical stresses - properties much more like those of granular materials than a continuum. Thus, granular materials are an appealing framework to describe dense microbial populations. However, using a simple 2D model, I numerically show that the coupling between cellular growth rate and mechanical stress gives rise to deviation from the expected behavior of inanimate granular materials, and it increases the complexity of the emergent phenomena. The simple and coarse model used in the first part of the thesis is sufficient for relatively low density systems, but it is not adequate for strongly compacted systems. Thus, in the second part of this thesis, I employ the Finite Element Method to study in detail the structure and mechanics of the disordered packings of elastic shells - our proxy model for dense cellular packings. Therein, I discuss how deformations resulting from large compressive forces couple the structural and mechanical properties of the compact packings. Finally, using Lattice-Boltzmann simulations, I investigate the fluid transport in such compacted packings of deformable shells. I show that a relatively simple model proposed by Kozeny & Carman, combined with a percolation theory, can capture the fluid transport in porous materials. This result is of interest not only in dense biological systems, but also in a broader class of granular porous materials.

Subjects/Keywords: Biophysics; Computational physics; Mechanics; Continuum mechanics; Fluid mechanics; Granular materials; Jamming transition; Percolation theory; Statistical Mechanics

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APA (6^th Edition):

Gniewek, P. (2018). Mechanics of Confined Microbial Populations. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/48f65099

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Gniewek, Pawel. “Mechanics of Confined Microbial Populations.” 2018. Thesis, University of California – Berkeley. Accessed January 15, 2021. http://www.escholarship.org/uc/item/48f65099.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Gniewek, Pawel. “Mechanics of Confined Microbial Populations.” 2018. Web. 15 Jan 2021.

Vancouver:

Gniewek P. Mechanics of Confined Microbial Populations. [Internet] [Thesis]. University of California – Berkeley; 2018. [cited 2021 Jan 15]. Available from: http://www.escholarship.org/uc/item/48f65099.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gniewek P. Mechanics of Confined Microbial Populations. [Thesis]. University of California – Berkeley; 2018. Available from: http://www.escholarship.org/uc/item/48f65099

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

22. Zhou, Wu (Scientist). Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials.

Degree: 2018, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:19407

►

Thesis Ph. D. Michigan State University. Mechanical Engineering 2018

"This study focuses on developing a peridynamics (PD) theory based model for the prediction of impact-induced… (more)

Subjects/Keywords: Mechanics, Applied; Continuum damage mechanics; Fracture mechanics – Mathematical models; Fibrous composites – Fracture – Analysis; Mechanics; Computational physics; Mechanical engineering

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APA (6^th Edition):

Zhou, W. (. (2018). Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:19407

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zhou, Wu (Scientist). “Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials.” 2018. Thesis, Michigan State University. Accessed January 15, 2021. http://etd.lib.msu.edu/islandora/object/etd:19407.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zhou, Wu (Scientist). “Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials.” 2018. Web. 15 Jan 2021.

Vancouver:

Zhou W(. Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Jan 15]. Available from: http://etd.lib.msu.edu/islandora/object/etd:19407.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zhou W(. Peridynamic modeling and impact testing of dynamic damage, fracture, and failure process in fiber-reinforced composite materials. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:19407

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

23. Bargmann, Swantje. Computational modeling of material behavior on different scales based on continuum mechanics.

Degree: 2011, Technische Universität Dortmund

URL: http://hdl.handle.net/2003/29271

► Die Modellierung und Simulation von Materialverhalten ist seit Jahrzehnten wichtiger Bestandteil ingenieurwissenschaftlicher Forschung. Sowohl innovative Ingenieurmaterialien (wie z.B. Leichtbaustoffe) als auch klassische Werkstoffe (z.B. Metalle)… (more)

▼ Die Modellierung und Simulation von Materialverhalten ist seit Jahrzehnten wichtiger Bestandteil ingenieurwissenschaftlicher Forschung. Sowohl innovative Ingenieurmaterialien (wie z.B. Leichtbaustoffe) als auch klassische Werkstoffe (z.B. Metalle) verlangen bei ihrer Entwicklung bzw. bei der Ermittlung ihrer mechanischen Eigenschaften ein stark verzahntes Wissen des Ingenieurs. In dem multidisziplinären Forschungsfeld sind Materialwissenschaftler, Ingenieure, Mathematiker und Physiker aktiv und profitieren von interdisziplinären Ansätzen. - Modellierung inelastischen Werkstoffverhaltens von Metallen - In vielen ingenieurwissenschaftlichen Anwendungen wie z.B. Umformprozessen spielt die Deformation von metallischen Materialien eine wichtige Rolle. Metalle verhalten sich bis zu einer kritischen Spannung linear-elastisch. Bei größeren Deformationen sinkt die Steigung der Spannungs-Dehnungskurve und schließlich beginnt das Material sich plastisch zu verfestigen. Das Werkstoffverhalten ist abhängig von mehreren Phänomenen auf verschiedenen Skalen, wie z.B. der Mikroebene. Ein gutes Beispiel hierfür sind polykristalline metallische Werkstoffe. In deren Fall hat man festgestellt, dass die zugrunde liegende Mikrostruktur, z.B. die Kornmikrostruktur, eine große Rolle spielt. Relevante Aspekte hierbei sind die Abhängigkeit des Materialverhaltens von der Korngröße oder von der Interaktion zwischen Versetzungen und Korngrenzen. Wenn das umzuformende Metallstück ungefähr die gleiche Größe hat wie die Kristalle, aus denen es besteht, dann ist die Spannungs- Dehnungskurve im plastischen Bereich stark von der Korngröße abhängig. Dieses Verhalten nennt man Größeneffekt. Im Gegensatz zur herkömmlichen Kristallplastizität werden die genannten Aspekte von den Ansätzen der erweiterten Kristallplastizität bzw. der Gradientenkristallplastizität berücksichtigt. Bei der Anwendung solcher Modelle und deren Umsetzung in die numerische Simulation ergeben sich mehrere Herausforderungen. Nicht zuletzt gehören dazu die Analyse der entsprechenden gekoppelten Anfangs-Randwertprobleme und die Entwicklung von effektiven numerischen Lösungsstrategien für diese Probleme. In den Kapiteln 2–6 werden erweiterte Kristallplastizitätstheorien betrachtet. Dabei werden große Deformationen berücksichtigt, basierend auf nicht-linearer Kontinuumsmechanik. Die resultierenden mathematischen Gleichungen sind hochgradig nicht-linear und miteinander gekoppelt, so dass ein effizienter numerischer Algorithmus benötigt wird. Modellierung und Simulation von Polareis in der Antarktis Inlandeisflächen und Gletscher spielen für das Erdklima eine sehr wichtige Rolle. Rund 90% des irdischen Eises und damit 75% der weltweiten Süßwasserreserven sind in der bis zu 4500m dicken Eisdecke der Antarktis enthalten. Das antarktische Inlandeis ist die größte einzelne Eismasse der Erde. Fast der gesamte Kontinent ist durch das ca. 12 Millionen km2 große Eisschild der Antarktis bedeckt. Eis in natürlichen Landeismassen, wie z.B. polaren Eisflächen oder Gletschern, besteht aus Milliarden… Advisors/Committee Members: Diebels, S., Svendsen, B..

Subjects/Keywords: Computational modeling; Continuum mechanics; Polycrystals; Simulations; 620; 670

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APA (6^th Edition):

Bargmann, S. (2011). Computational modeling of material behavior on different scales based on continuum mechanics. (Thesis). Technische Universität Dortmund. Retrieved from http://hdl.handle.net/2003/29271

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bargmann, Swantje. “Computational modeling of material behavior on different scales based on continuum mechanics.” 2011. Thesis, Technische Universität Dortmund. Accessed January 15, 2021. http://hdl.handle.net/2003/29271.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bargmann, Swantje. “Computational modeling of material behavior on different scales based on continuum mechanics.” 2011. Web. 15 Jan 2021.

Vancouver:

Bargmann S. Computational modeling of material behavior on different scales based on continuum mechanics. [Internet] [Thesis]. Technische Universität Dortmund; 2011. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/2003/29271.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bargmann S. Computational modeling of material behavior on different scales based on continuum mechanics. [Thesis]. Technische Universität Dortmund; 2011. Available from: http://hdl.handle.net/2003/29271

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

24. Tresierras, Timothy Nicholas. Modeling of Branching and Plant Growth via a Modified Elastica.

Degree: Mechanical Engineering, 2009, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/4b82s17b

► One of the most remarkable sites in nature is the branched structure of plants. The branching enables the plant to increase its capability to photosynthesize… (more)

Subjects/Keywords: Engineering, Mechanical; Branching; Continuum Mechanics; Controls; Dynamics; Growth; Rod Theory

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APA (6^th Edition):

Tresierras, T. N. (2009). Modeling of Branching and Plant Growth via a Modified Elastica. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/4b82s17b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tresierras, Timothy Nicholas. “Modeling of Branching and Plant Growth via a Modified Elastica.” 2009. Thesis, University of California – Berkeley. Accessed January 15, 2021. http://www.escholarship.org/uc/item/4b82s17b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tresierras, Timothy Nicholas. “Modeling of Branching and Plant Growth via a Modified Elastica.” 2009. Web. 15 Jan 2021.

Vancouver:

Tresierras TN. Modeling of Branching and Plant Growth via a Modified Elastica. [Internet] [Thesis]. University of California – Berkeley; 2009. [cited 2021 Jan 15]. Available from: http://www.escholarship.org/uc/item/4b82s17b.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tresierras TN. Modeling of Branching and Plant Growth via a Modified Elastica. [Thesis]. University of California – Berkeley; 2009. Available from: http://www.escholarship.org/uc/item/4b82s17b

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

25. Ekpenyong, Andrew. Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher.

Degree: M.S. in Physics, Physics (graduate program), 2008, Creighton University

URL: http://hdl.handle.net/10504/111

► Since the invention of the optical stretcher in 2001, no direct method has been found for measuring the optical stress that produces the observed trapping… (more)

Subjects/Keywords: Cytology – Research; Continuum mechanics; Optics

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APA (6^th Edition):

Ekpenyong, A. (2008). Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher. (Masters Thesis). Creighton University. Retrieved from http://hdl.handle.net/10504/111

Chicago Manual of Style (16^th Edition):

Ekpenyong, Andrew. “Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher.” 2008. Masters Thesis, Creighton University. Accessed January 15, 2021. http://hdl.handle.net/10504/111.

MLA Handbook (7^th Edition):

Ekpenyong, Andrew. “Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher.” 2008. Web. 15 Jan 2021.

Vancouver:

Ekpenyong A. Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher. [Internet] [Masters thesis]. Creighton University; 2008. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10504/111.

Council of Science Editors:

Ekpenyong A. Hybrid Ray Optics and Continuum Mechanics Modeling of Cell Deformation in the Optical Stretcher. [Masters Thesis]. Creighton University; 2008. Available from: http://hdl.handle.net/10504/111

Durban University of Technology

26. Nhassengo, Sikhulile Khululeka. Use of piezoelectric techniques monitoring continuum damage of structures.

Degree: 2011, Durban University of Technology

URL: http://hdl.handle.net/10321/699

►

Submitted in partial fulfilment of the requirements for the Degree of Master of Technology: Mechanical Engineering, Durban University of Technology, 2011.

The objective of the… (more)

Subjects/Keywords: Piezoelectric materials; Continuum damage mechanics; Materials – Fatigue; Metals – Fatigue

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APA (6^th Edition):

Nhassengo, S. K. (2011). Use of piezoelectric techniques monitoring continuum damage of structures. (Thesis). Durban University of Technology. Retrieved from http://hdl.handle.net/10321/699

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Nhassengo, Sikhulile Khululeka. “Use of piezoelectric techniques monitoring continuum damage of structures.” 2011. Thesis, Durban University of Technology. Accessed January 15, 2021. http://hdl.handle.net/10321/699.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Nhassengo, Sikhulile Khululeka. “Use of piezoelectric techniques monitoring continuum damage of structures.” 2011. Web. 15 Jan 2021.

Vancouver:

Nhassengo SK. Use of piezoelectric techniques monitoring continuum damage of structures. [Internet] [Thesis]. Durban University of Technology; 2011. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10321/699.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Nhassengo SK. Use of piezoelectric techniques monitoring continuum damage of structures. [Thesis]. Durban University of Technology; 2011. Available from: http://hdl.handle.net/10321/699

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

27. Doraiswamy, Srikrishna. Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach.

Degree: PhD, Mechanical Engineering, 2013, Texas A&M University

URL: http://hdl.handle.net/1969.1/151911

► The aim of the current work is to develop a Bayesian approach to model and simulate the behavior of materials with nonlinear mechanical response in… (more)

▼ The aim of the current work is to develop a Bayesian approach to model and simulate the behavior of materials with nonlinear mechanical response in the presence of significant uncertainties in the experimental data as well as the applicability of models. The core idea of this approach is to combine deterministic approaches by the use of physics based models, with ideas from Bayesian inference to account for such uncertainties. Traditionally, parameters of models in mechanics have been identified through deterministic approaches to obtain single point estimates. Such methods perform very well for linear models and are the preferred approach in identifying model parameters, especially for precisely engineered systems such as structures and machinery. But in the presence of large variations such as in the response of biological materials, such deterministic approaches do not sufficiently capture the uncertainty in the response. We propose that the model parameters need to encode the spread that is observed in the data in addition to modeling the physics of the system. To this end, we propose the idea of probability distributions for model parameters in order to incorporate the uncertainty in the data. We demonstrate this probabilistic approach to identifying model parameters with the example of two problems: the characterization of sheep arteries using data from inflation experiments and the problem of detecting an inhomogeneity in a cantilever beam. The parameters in the artery characterization problem are the model parameters in the constitutive models and in the cantilever problem the parameters are the stiffnesses of the inhomogeneity and the material of the beam. For each of these problems, we compute the probability distribution of the parameters using Bayesian inference. We show that the probability distributions of parameters can be used towards two kinds of diagnostics: assigning probability to a hypothesis (inhomogeneity detection problem) and using the probability distribution for classifying newly obtained data (characterization of artery data). For the inhomogeneity detection problem, the hypothesis is a statement on the ratio of the stiffnesses and it is observed that the probability of the hypothesis matches well with the data. In the case of the artery characterization problem, new data was successfully classified using the probability distributions computed with training data. Advisors/Committee Members: Srinivasa, Arun R (advisor), Narayanan, Krishna R (advisor), Reddy, Junuthula N (committee member), Criscione, John C (committee member), Rathinam, Sivakumar (committee member).

Subjects/Keywords: Bayesian inference; Maximum Entropy; Continuum Mechanics; Diagnostics; Cantilever Beams; Biotissues

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APA (6^th Edition):

Doraiswamy, S. (2013). Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/151911

Chicago Manual of Style (16^th Edition):

Doraiswamy, Srikrishna. “Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach.” 2013. Doctoral Dissertation, Texas A&M University. Accessed January 15, 2021. http://hdl.handle.net/1969.1/151911.

MLA Handbook (7^th Edition):

Doraiswamy, Srikrishna. “Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach.” 2013. Web. 15 Jan 2021.

Vancouver:

Doraiswamy S. Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach. [Internet] [Doctoral dissertation]. Texas A&M University; 2013. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1969.1/151911.

Council of Science Editors:

Doraiswamy S. Characterization of Nonlinear Material Response in the Presence of Large Uncertainties – A Bayesian Approach. [Doctoral Dissertation]. Texas A&M University; 2013. Available from: http://hdl.handle.net/1969.1/151911

Texas A&M University

28. Joshi, Sunnie. A Model for the Estimation of Residual Stresses in Soft Tissues.

Degree: PhD, Mathematics, 2012, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11632

► This dissertation focuses on a novel approach for characterizing the mechanical behavior of an elastic body. In particular, we develop a mathematical tool for the… (more)

▼ This dissertation focuses on a novel approach for characterizing the mechanical behavior of an elastic body. In particular, we develop a mathematical tool for the estimation of residual stress field in an elastic body that has mechanical properties similar to that of the arterial wall, by making use of intravascular ultrasound (IVUS) imaging techniques. This study is a preliminary step towards understanding the progression of a cardiovascular disease called atherosclerosis using ultrasound technology. It is known that residual stresses play a significant role in determining the overall stress distribution in soft tissues. The main part of this work deals with developing a nonlinear inverse spectral technique that allows one to accurately compute the residual stresses in soft tissues. Unlike most conventional experimental, both in vivo and in vitro, and theoretical techniques to characterize residual stresses in soft tissues, the proposed method makes fundamental use of the finite strain non- linear response of the material to a quasi-static harmonic loading. The arterial wall is modeled as a nonlinear, isotropic, slightly compressible elastic body. A boundary value problem is formulated for the residually stressed arterial wall, the boundary of which is subjected to a constant blood pressure, and then an idealized model for the IVUS interrogation is constructed by superimposing small amplitude time harmonic infinitesimal vibrations on large deformations via an asymptotic construction of its solution. We then use a semi-inverse approach to study the model for a specific class of deformations. The analysis leads us to a system of second order differential equations with homogeneous boundary conditions of Sturm-Liouville type. By making use of the classical theory of inverse Sturm-Liouville problems, and root finding and optimization techniques, we then develop several inverse spectral algorithms to approximate the residual stress distribution in the arterial wall, given the first few eigenfrequencies of several induced blood pressures. Advisors/Committee Members: Walton, Jay R. (advisor), Criscione, John C. (advisor), Bangerth, Wolfgang (committee member), Ward, Joseph (committee member).

Subjects/Keywords: Residual Stresses; Inverse Sturm Liouville Problems; Cardiovascular Disease; Continuum Mechanics

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APA (6^th Edition):

Joshi, S. (2012). A Model for the Estimation of Residual Stresses in Soft Tissues. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11632

Chicago Manual of Style (16^th Edition):

Joshi, Sunnie. “A Model for the Estimation of Residual Stresses in Soft Tissues.” 2012. Doctoral Dissertation, Texas A&M University. Accessed January 15, 2021. http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11632.

MLA Handbook (7^th Edition):

Joshi, Sunnie. “A Model for the Estimation of Residual Stresses in Soft Tissues.” 2012. Web. 15 Jan 2021.

Vancouver:

Joshi S. A Model for the Estimation of Residual Stresses in Soft Tissues. [Internet] [Doctoral dissertation]. Texas A&M University; 2012. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11632.

Council of Science Editors:

Joshi S. A Model for the Estimation of Residual Stresses in Soft Tissues. [Doctoral Dissertation]. Texas A&M University; 2012. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11632

Texas A&M University

29. McLendon, Wesley R. Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics.

Degree: MS, Aerospace Engineering, 2010, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7509

► The continuum damage mechanics (CDM) approach is widely used to model damage in polymer matrix composite materials which are represented using the homogenized properties of… (more)

Subjects/Keywords: composite; damage; continuum damage mechanics

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APA (6^th Edition):

McLendon, W. R. (2010). Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7509

Chicago Manual of Style (16^th Edition):

McLendon, Wesley R. “Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics.” 2010. Masters Thesis, Texas A&M University. Accessed January 15, 2021. http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7509.

MLA Handbook (7^th Edition):

McLendon, Wesley R. “Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics.” 2010. Web. 15 Jan 2021.

Vancouver:

McLendon WR. Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics. [Internet] [Masters thesis]. Texas A&M University; 2010. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7509.

Council of Science Editors:

McLendon WR. Prediction of Damage Zone Growth in Composites Using Continuum Damage Mechanics. [Masters Thesis]. Texas A&M University; 2010. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7509

Penn State University

30. Mahdavi, Arash. Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches.

Degree: 2012, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/14502

► A new multiscale modeling technique called the Consistent Atomic-scale Finite Element (CAFÉ) method is introduced. Unlike traditional approaches for linking the atomic structure to its… (more)

▼ A new multiscale modeling technique called the Consistent Atomic-scale Finite Element (CAFÉ) method is introduced. Unlike traditional approaches for linking the atomic structure to its equivalent continuum, this method directly connects the atomic degrees of freedom to a reduced set of finite element degrees of freedom without passing through an intermediate homogenized continuum. As a result, there is no need to introduce stress and strain measures at the atomic level. The Tersoff-Brenner interatomic potential is used to calculate the consistent tangent stiffness matrix of the structure. In this finite element formulation, all local and non-local interactions between carbon atoms are taken into account using overlapping finite elements. In addition, a consistent hierarchical finite element modeling technique is developed for adaptively coarsening and refining the mesh over different parts of the model. This process is consistent with the underlying atomic structure and, by refining the mesh to the scale of atomic spacing, molecular dynamic results can be recovered. This method is valid across the scales and can be used to concurrently model atomistic and continuum phenomena so, in contrast with most other multi-scale methods, there is no need to introduce artificial boundaries for coupling atomistic and continuum regions. Effect of the length scale of the nanostructure is also included in the model by building the hierarchy of elements from bottom up using a finite size atom cluster as the building block. To be consistent with the bravais multi-lattice structure of sp2-bonded carbon, two independent displacement fields are used for reducing the order of the model. Sparse structure of the stiffness matrix of these nanostructures is exploited to reduce the memory requirement and to speed up the formation of the system matrices and solution of the equilibrium equations. Applicability of the method is shown with several examples of the nonlinear mechanics of carbon nanotubes and carbon nanocones subject to different loadings and boundary conditions. This finite element technique is also used to study the natural frequencies of low-dimensional carbon nanostructures and comparing the results with those of a homogenized isotropic continuum shell. Conclusion is that, replacing the atomic lattice with an isotropic continuum shell for a graphene sheet does not significantly affect the vibration frequencies while in the case of carbon nanotubes and carbon nanocones there is a significant difference between the natural frequencies of the atomistic model and its continuum counterpart. In the case of the carbon nanotube, continuum model successfully captures the beam bending vibration modes while overestimating frequencies of the modes in which the cross-section undergoes significant deformation. Furthermore, in the case of carbon nanotubes, the continuum shell exhibits a torsional mode which appears to be an artifact resulting from the small nominal thickness typically used in the continuum shell approximation of these… Advisors/Committee Members: Eric M Mockensturm, Dissertation Advisor/Co-Advisor, Eric M Mockensturm, Committee Chair/Co-Chair, Dr Kon Well Wang, Committee Member, Panagiotis Michaleris, Committee Member, Mary I Frecker, Committee Member, Vincent Henry Crespi, Committee Member, Karen Ann Thole, Special Member.

Subjects/Keywords: Finite Element; Nanomechanics; Carbon Nanotube; Multisclae; Nonlinear; Continuum Mechanics

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APA (6^th Edition):

Mahdavi, A. (2012). Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/14502

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mahdavi, Arash. “Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches.” 2012. Thesis, Penn State University. Accessed January 15, 2021. https://submit-etda.libraries.psu.edu/catalog/14502.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mahdavi, Arash. “Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches.” 2012. Web. 15 Jan 2021.

Vancouver:

Mahdavi A. Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches. [Internet] [Thesis]. Penn State University; 2012. [cited 2021 Jan 15]. Available from: https://submit-etda.libraries.psu.edu/catalog/14502.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mahdavi A. Mechanics Of Low-dimensional Carbon Nanostructures: Atomistic, Continuum, And Multi-scale Approaches. [Thesis]. Penn State University; 2012. Available from: https://submit-etda.libraries.psu.edu/catalog/14502

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Open Access Theses and Dissertations