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You searched for subject:(constitutive surfaces). Showing records 1 – 3 of 3 total matches.

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University of California – Berkeley

1. Vignes, Chet Monroe. Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation.

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

Within the medical community, there has been increasing interest in understanding material growth in biomaterials. Material growth is the capability of a biomaterial to gain or lose mass. This research interest is driven by the host of health implications and medical problems related to this unique biomaterial property. Health providers are keen to understand the role of growth in healing and recovery so that surgical techniques, medical procedures, and physical therapy may be designed and implemented to stimulate healing and minimize recovery time. With this motivation, research seeks to identify and model mechanisms of material growth as well as growth-inducing factors in biomaterials. To this end, a theoretical formulation of stress-induced volumetric material growth in thermoelastic continua is developed. The theory derives, without the classical continuum mechanics assumption of mass conservation, the balance laws governing the mechanics of solids capable of growth. Also, a proposed extension of classical thermodynamic theory provides a foundation for developing general constitutive relations. The theory is consistent in the sense that classical thermoelastic continuum theory is embedded as a special case. Two growth mechanisms, a kinematic and a constitutive contribution, coupled in the most general case of growth, are identified. This identification allows for the commonly employed special cases of density-preserving growth and volume-preserving growth to be easily recovered. In the theory, material growth is regulated by a three-surface activation criterion and corresponding flow rules. A simple model for rate-independent finite growth is proposed based on this formulation. The associated algorithmic implementation, including a method for solving the underlying differential/algebraic equations for growth, is examined in the context of an implicit finite element method. Selected numerical simulations are presented that showcase the predictive capacity of the model for both soft and hard biomaterials.

Subjects/Keywords: Engineering, Mechanical; activation surfaces; constitutive modeling; continuum modeling; finite element method; growth

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

APA (6th Edition):

Vignes, C. M. (2009). Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/9mj0r71p

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

Chicago Manual of Style (16th Edition):

Vignes, Chet Monroe. “Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation.” 2009. Thesis, University of California – Berkeley. Accessed January 20, 2020. http://www.escholarship.org/uc/item/9mj0r71p.

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

MLA Handbook (7th Edition):

Vignes, Chet Monroe. “Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation.” 2009. Web. 20 Jan 2020.

Vancouver:

Vignes CM. Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation. [Internet] [Thesis]. University of California – Berkeley; 2009. [cited 2020 Jan 20]. Available from: http://www.escholarship.org/uc/item/9mj0r71p.

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

Council of Science Editors:

Vignes CM. Material Growth in Thermoelastic Continua: Theory, Algorithmics, and Simulation. [Thesis]. University of California – Berkeley; 2009. Available from: http://www.escholarship.org/uc/item/9mj0r71p

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


Texas A&M University

2. Zhang, Xiong. Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils.

Degree: 2005, Texas A&M University

The coupled and uncoupled consolidation theories for saturated-unsaturated soils have been discussed. A new method for constructing the constitutive surfaces for saturated-unsaturated soils has been proposed. The consolidation processes for saturated-unsaturated soils have been explained by thermodynamic analogue. One dimensional consolidation theory for saturated-unsaturated soils is presented and a new method is proposed to calculate the immediate settlement, total settlement and the time history of the consolidation settlement manually in the same way as what we have done for saturated soils with a higher accuracy. It makes the consolidation theory of unsaturated soils as applicable as that of saturated soils. This method can also be used to perform uncoupled two or three dimensional consolidation calculation for both expansive soils and collapsible soils. From the analysis, the equivalent effective stress and excessive pore water pressure can be easily calculated. At the same time, the physical meanings for the parameters in the constitutive laws for saturated-unsaturated are illustrated. A new set of the differential equations for the coupled two or three dimensional consolidation of saturated-unsaturated soils are proposed, together with the corresponding method to solve the differential equations. It is also proved numerically and analytically that during the consolidation process the Mandel-Cryer effect exists for unsaturated expansive soils and there is a ??reverse?? Mandel-Cryer effect for unsaturated collapsible soils. A new method is proposed to estimate the volume change of expansive soils. A complete system is proposed for the numerical simulation of residential buildings on expansive soils. The strength of this method lies in its use of simple and readily available historic weather data such as daily temperature, solar radiation, relative humidity, wind speed and rainfall as input. Accurate three dimensional predictions are obtained by integrating a number of different analytical and numerical techniques: different simulation methods for different boundary conditions such as tree, grass, and bare soils, coupled hydro-mechanical stress analysis to describe deformation of saturated-unsaturated soils, jointed elements simulation of soil-structure interaction, analysis of structure stress moment by general shell elements, and to assess structural damage by the smeared cracking model. The real-time and dynamic simulation results are consistent with filed measurements. Advisors/Committee Members: Briaud, Jean-Louis (advisor), Palazzolo, Alan (committee member), Aubeny, Charles (committee member), Lytton, Robert L. (committee member).

Subjects/Keywords: consolidation; Unsaturated Soils; Numerical Simulation; Residential Buildings; Expansive Soils; constitutive surfaces; thermodynamic analogue; collapsible soils; Mandel-Cryer effect; boundary conditions; soil-structure interaction; shell elements; smeared model

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

APA (6th Edition):

Zhang, X. (2005). Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/2747

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

Chicago Manual of Style (16th Edition):

Zhang, Xiong. “Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils.” 2005. Thesis, Texas A&M University. Accessed January 20, 2020. http://hdl.handle.net/1969.1/2747.

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

MLA Handbook (7th Edition):

Zhang, Xiong. “Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils.” 2005. Web. 20 Jan 2020.

Vancouver:

Zhang X. Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils. [Internet] [Thesis]. Texas A&M University; 2005. [cited 2020 Jan 20]. Available from: http://hdl.handle.net/1969.1/2747.

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

Council of Science Editors:

Zhang X. Consolidation theories for saturated-unsaturated soils and numerical simulation of residential buildings on expansive soils. [Thesis]. Texas A&M University; 2005. Available from: http://hdl.handle.net/1969.1/2747

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


Georgia Tech

3. Kim, Hoan-Kee. Multi-scale nonlinear constitutive models using artificial neural networks.

Degree: PhD, Civil and Environmental Engineering, 2008, Georgia Tech

This study presents a new approach for nonlinear multi-scale constitutive models using artificial neural networks (ANNs). Three ANN classes are proposed to characterize the nonlinear multi-axial stress-strain behavior of metallic, polymeric, and fiber reinforced polymeric (FRP) materials, respectively. Load-displacement responses from nanoindentation of metallic and polymeric materials are used to train new generation of dimensionless ANN models with different micro-structural properties as additional variables to the load-deflection. The proposed ANN models are effective in inverse-problems set to back-calculate in-situ material parameters from given overall nanoindentation test data with/without time-dependent material behavior. Towards that goal, nanoindentation tests have been performed for silicon (Si) substrate with/without a copper (Cu) film. Nanoindentation creep test data, available in the literature for Polycarbonate substrate, are used in these inverse problems. The predicted properties from the ANN models can also be used to calibrate classical constitutive parameters. The third class of ANN models is used to generate the effective multi-axial stress-strain behavior of FRP composites under plane-stress conditions. The training data are obtained from coupon tests performed in this study using off-axis tension/compression and pure shear tests for pultruded FRP E-glass/polyester composite systems. It is shown that the trained nonlinear ANN model can be directly coupled with finite-element (FE) formulation as a material model at the Gaussian integration points of each layered-shell element. This FE-ANN modeling approach is applied to simulate an FRP plate with an open-hole and compared with experimental results. Micromechanical nonlinear ANN models with damage formulation are also formulated and trained using simulated FE modeling of the periodic microstructure. These new multi-scale ANN constitutive models are effective and can be extended by including more material variables to capture complex material behavior, such as softening due to micro-structural damage or failure. Advisors/Committee Members: Rami M Haj-Ali (Committee Chair), Arash Yavari (Committee Member), Donald W. White (Committee Member), Erian Armanios (Committee Member), kenneth M. Will (Committee Member).

Subjects/Keywords: Nanoindentation; Damage formulation; Inverse problem; FRP composites; Multi-scale nonlinear constitutive models; Artificial neural network; Neural networks (Computer science); Mathematical models; Polymeric composites; Nanotechnology; Surfaces (Technology) – Testing

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

APA (6th Edition):

Kim, H. (2008). Multi-scale nonlinear constitutive models using artificial neural networks. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/22613

Chicago Manual of Style (16th Edition):

Kim, Hoan-Kee. “Multi-scale nonlinear constitutive models using artificial neural networks.” 2008. Doctoral Dissertation, Georgia Tech. Accessed January 20, 2020. http://hdl.handle.net/1853/22613.

MLA Handbook (7th Edition):

Kim, Hoan-Kee. “Multi-scale nonlinear constitutive models using artificial neural networks.” 2008. Web. 20 Jan 2020.

Vancouver:

Kim H. Multi-scale nonlinear constitutive models using artificial neural networks. [Internet] [Doctoral dissertation]. Georgia Tech; 2008. [cited 2020 Jan 20]. Available from: http://hdl.handle.net/1853/22613.

Council of Science Editors:

Kim H. Multi-scale nonlinear constitutive models using artificial neural networks. [Doctoral Dissertation]. Georgia Tech; 2008. Available from: http://hdl.handle.net/1853/22613

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