Continuum mechanical and computational aspects of material behavior
- Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL (US)
The focus of the work is the application of continuum mechanics to materials science, specifically to the macroscopic characterization of material behavior at small length scales. The long-term goals are a continuum-mechanical framework for the study of materials that provides a basis for general theories and leads to boundary-value problems of physical relevance, and computational methods appropriate to these problems supplemented by physically meaningful regularizations to aid in their solution. Specific studies include the following: the development of a theory of polycrystalline plasticity that incorporates free energy associated with lattice mismatch between grains; the development of a theory of geometrically necessary dislocations within the context of finite-strain plasticity; the development of a gradient theory for single-crystal plasticity with geometrically necessary dislocations; simulations of dynamical fracture using a theory that allows for the kinking and branching of cracks; computation of segregation and compaction in flowing granular materials.
- Research Organization:
- Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL (US)
- Sponsoring Organization:
- Office of Advanced Scientific Computing Research, USDOE Office of Science (US)
- DOE Contract Number:
- FG02-97ER25317
- OSTI ID:
- 811358
- Country of Publication:
- United States
- Language:
- English
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