Examples of nonlinear homogenization involving degenerate energies. I. Plane strain-Reference-Cited by-同舟云学术

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

Published:2005-09-20 Issue:2063 Volume:461 Page:3681-3703
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Chenchiah Isaac V¹,Bhattacharya Kaushik²

Affiliation:

1. Max Planck Institute for Mathematics in the SciencesInselstrasse 22, 04103 Leipzig, Germany()

2. Division of Engineering and Applied ScienceCalifornia Institute of Technology, Pasadena, CA 91125, USA()

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1515

Reference16 articles.

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2. Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape-Memory Materials

3. A model problem concerning recoverable strains of shape-memory polycrystals

4. Some examples of nonlinear homogenization involving nearly degenerate energies

5. Chenchiah I. V. 2004 Energy-minimizing microstructures in multiphase elastic solids. Ph.D. thesis California Institute of Technology.

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