Examples of nonlinear homogenization involving degenerate energies. I. Plane strain
Author:
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
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.
1. Bhattacharya K Microstructure of martensite: why it forms and how it gives rise to the shape-memory effect. 2003 Oxford:Oxford University Press.
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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1. Phase-Field Reaction-Pathway Kinetics of Martensitic Transformations in a ModelFe3NiAlloy;Physical Review Letters;2010-07-15
2. Infinite-contrast periodic composites with strongly nonlinear behavior: Effective-medium theory versus full-field simulations;International Journal of Solids and Structures;2009-09
3. Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: Exact solutions and dilute expansions;Journal of the Mechanics and Physics of Solids;2008-04
4. Jog my shape memory: dynamics as a challenge in mathematical materials science;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2006-10-19
5. A model problem concerning recoverable strains of shape-memory polycrystals;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2005-07-28
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