Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for subject:(Beta FEM). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


University of Cincinnati

1. Zeng, Wei. Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications.

Degree: PhD, Engineering and Applied Science: Engineering Mechanics, 2015, University of Cincinnati

The smoothed finite element method (S-FEM) was recently proposed to bring softening effects into and improve the accuracy of the standard FEM. In the S-FEM, the system stiffness matrix is obtained using strain smoothing technique over the smoothing domains associated with cells, nodes, edges or faces to establish models of desired properties. In this dissertation, it will introduce several aspects of advanced development and applications of S-FEM in solid mechanics. The idea, main work and contribution are included in four aspects as following:(1) A Generalized Stochastic Cell-based S-FEM (GS_CS-FEM): The cell-based S-FEM is extended for stochastic analysis based on the generalized stochastic perturbation technique. Numerical examples are presented and the obtained results are compared with the solution of Monte Carlo simulations. It is found that the present GS_CS-FEM method can improve the solution accuracy with high-efficiency for stochastic problems with large uncertainties.(2) An effective fracture analysis method based on the VCCT implemented in CS-FEM: The VCCT is formulated in the framework of CS-FEM for evaluating SIF’s and for modeling the crack propagation in solids. The one-step-analysis approach of the VCCT is utilized based on the assumption of stress field equivalence under infinitesimal perturbations. The significant feature of the present approach is that it requires no domain integration but attains same level of accuracy compared to the standard FEM using the interaction integral method. Numerical examples are provided to validate the effectiveness of fracture parameter evaluation as well as to predict the crack growth trajectories.(3) Smoothing techniques based crystal plasticity finite element modeling of crystalline materials: A framework and numerical implementation for modeling anisotropic crystalline plasticity using strain smoothing techniques is presented to model anisotropic crystalline plasticity with rate-independence. The edge-based strain smoothing technique is extended to deal with finite strains in a nonlinear incremental integration procedure based on the Newton-Raphson scheme. Several representative examples are studied to demonstrate the capability of proposed method as well as the integration algorithm for capturing the strain localization and dealing with plastic incompressibility. The proposed method is also implemented to explore the mesoscopic and macroscopic elaso-plastic behavior of polycrystalline aggregates.(4) A novel beta finite element method (ßFEM) of coupled edge/face and node based smoothing techniques: Smoothing domains generated upon both edges (faces for 3D) and nodes are employed to construct a smoothed model. In this work, a novel S-FEM is proposed, in which an adjustable parameter ß is introduced to control the ratio of the area of edge-based/face-based and node-based smoothing domains. It is found that the nearly exact solution in strain energy can be obtained by tuning the parameter, making use of the important property that the exact solution is bonded by… Advisors/Committee Members: Liu, Guirong (Committee Chair).

Subjects/Keywords: Engineering; Smoothed Finite Element Method; Solid Mechanics; Stochastic Analysis; Fracture Mechanics; Crystal Plasticity; Beta FEM

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

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

APA (6th Edition):

Zeng, W. (2015). Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications. (Doctoral Dissertation). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306

Chicago Manual of Style (16th Edition):

Zeng, Wei. “Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications.” 2015. Doctoral Dissertation, University of Cincinnati. Accessed June 20, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306.

MLA Handbook (7th Edition):

Zeng, Wei. “Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications.” 2015. Web. 20 Jun 2019.

Vancouver:

Zeng W. Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications. [Internet] [Doctoral dissertation]. University of Cincinnati; 2015. [cited 2019 Jun 20]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306.

Council of Science Editors:

Zeng W. Advanced Development of Smoothed Finite Element Method (S-FEM) and Its Applications. [Doctoral Dissertation]. University of Cincinnati; 2015. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309306

.