Published November 8, 2005
| public
Journal Article
Examples of nonlinear homogenization involving degenerate energies. I. Plane strain
- Creators
- Chenchiah, Isaac V.
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Bhattacharya, Kaushik
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.
Additional Information
© 2005 The Royal Society. Received 2 August 2004; Accepted 12 May 2005. Published online 20 September 2005. This work draws on I.V.C.'s doctoral thesis at the California Institute of Technology. We are grateful to Pierre Suquet and Gal deBotton for useful discussions. We acknowledge the partial financial support of US Army Research Office through the MURI grant DAAD19-01-1-0517 and the US Office of Naval Research through the grant N00014-01-1-0937.Additional details
- Eprint ID
- 41744
- DOI
- 10.1098/rspa.2005.1515
- Resolver ID
- CaltechAUTHORS:20131008-134246206
- DAAD19-01-1-0517
- Army Research Office (ARO)
- N00014-01-1-0937
- Office of Naval Research (ONR)
- Created
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2013-10-08Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field