Thesis
A finite element based macro/micro elastoplasticity model for large deformation processes
Washington State University
Master of Science (MS), Washington State University
2003
Handle:
https://hdl.handle.net/2376/160
Abstract
A finite element-based macro/micro model formulation was developed for crystal plasticity during large deformation of metals. Particular emphasis was placed upon gaining a better understanding of large strain analysis in solids. In order to simulate large strain deformation and analyze the texture development, a highly extensive macro plasticity model was developed. The model development was started with simple elastic calculations and small strain plastic calculations. This analysis considered the material non-linearity occurring in the specimen after yielding. Various simulations were done to understand and validate the model. To model large strain inelastic deformation, both the incremental objective stress time integration scheme and total formulation were incorporated. The model was developed to perform 2-dimensional and 3-dimensional calculations. The non-linear problem is solved incrementally using generalized Newton-Raphson method, and the non-linearity arising from large displacements is incorporated into the program by updating the geometry at the end of each increment. The macro plasticity model was tested with standard test cases and the results were compared with ADINA. To simulate large incompressible deformation, Mixed U/P finite elements were incorporated. These elements were utilized to investigate the instability of plastic deformation at large strains and to simulate the development of necking and localized deformation. Further, the macro plasticity model was utilized in crystal plasticity calculations to determine the macroscopic stress. This stress was used to calculate the slip occurring in the slip systems of the FCC crystals. The final elastic and plastic deformation occurring in the crystal was used to calculate the texture development. Both single crystal and poly crystal simulation was done with different hardening models, and the results were compared with the data available in literature and experiments.
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Details
- Title
- A finite element based macro/micro elastoplasticity model for large deformation processes
- Creators
- Rajesh Prasannavenkatesan
- Contributors
- Ben Q. Li (Degree Supervisor)
- Awarding Institution
- Washington State University
- Academic Unit
- Mechanical and Materials Engineering, School of
- Theses and Dissertations
- Master of Science (MS), Washington State University
- Publisher
- Washington State University; Pullman, Wash. :
- Identifiers
- 99900525116901842
- Language
- English
- Resource Type
- Thesis