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MiS Preprint
49/2004

Examples of nonlinear homogenization in plane strain involving degenerate energies

Isaac Chenchiah and Kaushik Bhattacharya

Abstract

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:
Aug 3, 2004
Published:
Aug 3, 2004
Keywords:
homogenization, shape-memory polycrystals, rigid-perfect plasticity, localization, checkerboard microstructure

Related publications

inJournal
2005 Repository Open Access
Isaac Vikram Chenchiah and Kaushik Bhattacharya

Examples of nonlinear homogenization involving degenerate energies. I. Plane strain

In: Proceedings of the Royal Society of London / A, 461 (2005) 2063, pp. 3681-3703