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.
| Translated title of the contribution | Examples of nonlinear homogenization involving degenerate energies. I. Plane strain |
|---|---|
| Original language | English |
| Pages (from-to) | 3681 - 3703 |
| Number of pages | 23 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 461 (2063) |
| DOIs | |
| Publication status | Published - Nov 2005 |
Bibliographical note
Publisher: The Royal SocietyOther identifier: IDS Number: 976FT