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

نویسندگان

  • ISAAC V. CHENCHIAH
  • KAUSHIK BHATTACHARYA
چکیده

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.

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تاریخ انتشار 2005