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

IV Chenchiah, K Bhattacharya

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

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 contributionExamples of nonlinear homogenization involving degenerate energies. I. Plane strain
Original languageEnglish
Pages (from-to)3681 - 3703
Number of pages23
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume461 (2063)
DOIs
Publication statusPublished - Nov 2005

Bibliographical note

Publisher: The Royal Society
Other identifier: IDS Number: 976FT

Fingerprint Dive into the research topics of 'Examples of nonlinear homogenization involving degenerate energies. I. Plane strain'. Together they form a unique fingerprint.

Cite this