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.
|Translated title of the contribution||Examples of nonlinear homogenization involving degenerate energies. I. Plane strain|
|Pages (from-to)||3681 - 3703|
|Number of pages||23|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Publication status||Published - Nov 2005|
Bibliographical notePublisher: The Royal Society
Other identifier: IDS Number: 976FT