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

Chenchiah, Isaac V. and Bhattacharya, Kaushik (2005) Examples of nonlinear homogenization involving degenerate energies. I. Plane strain. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 461 (2063). pp. 3681-3703. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131008-134246206

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspa.2005.1515 DOIArticle
http://rspa.royalsocietypublishing.org/content/461/2063/3681PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, Kaushik0000-0003-2908-5469
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.
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)DAAD19-01-1-0517
Office of Naval Research (ONR)N00014-01-1-0937
Subject Keywords:homogenization; shape-memory polycrystals; rigid-perfect plasticity; localization; checkerboard microstructure
Issue or Number:2063
Record Number:CaltechAUTHORS:20131008-134246206
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131008-134246206
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41744
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Oct 2013 22:44
Last Modified:03 Oct 2019 05:51

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