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Examples of nonlinear homogenization in plane strain involving degenerate energies
Isaac Chenchiah and Kaushik BhattacharyaAbstract
The study of polycrystals of shape-memory alloys and rigid-perfectly plastic materials gives rise to problems of nonlinear homogenization involving degenerate energies. This paper presents a characterization of the stress and strain fields in a class of problems in plane strain, and uses it to study examples including checkerboards and hexagonal microstructures. Consequences for shape-memory alloys and rigid-perfectly plastic materials are discussed.
- Received:
- 03.08.04
- Published:
- 03.08.04
- Keywords:
- homogenization, shape-memory polycrystals, rigid-perfect plasticity, localization, checkerboard microstructure