Extremal Overall Elastic Response of Polycrystalline Materials

Martin P Bendsøe; Robert Lipton

doi:10.1016/S0022-5096(97)00032-X

Extremal Overall Elastic Response of Polycrystalline Materials

Martin P Bendsøe, Robert Lipton

Worcester Polytechnic Institute

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Polycrystalline materials comprised of grains obtained from a single anisotropic material are considered in the framework of linear elasticity. No assumptions on the symmetry of the polycrystal are made. We subject the material to independent external strain and stress fields with prescribed mean values. We show that the extremal overall elastic response is always achieved by a configuration consisting of a single properly oriented crystal. This result is compared to results for isotropic polycrystals. (C) 1997 Elsevier Science Ltd.

Original language	English
Journal	Journal of the Mechanics and Physics of Solids
Volume	45
Issue number	11-12
Pages (from-to)	1765-1780
ISSN	0022-5096
DOIs	https://doi.org/10.1016/S0022-5096(97)00032-X
Publication status	Published - 1997

Keywords

microstructures
anisotropic material
polycrystalline material
variational calculus

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10.1016/S0022-5096(97)00032-X

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AB - Polycrystalline materials comprised of grains obtained from a single anisotropic material are considered in the framework of linear elasticity. No assumptions on the symmetry of the polycrystal are made. We subject the material to independent external strain and stress fields with prescribed mean values. We show that the extremal overall elastic response is always achieved by a configuration consisting of a single properly oriented crystal. This result is compared to results for isotropic polycrystals. (C) 1997 Elsevier Science Ltd.

KW - microstructures

KW - anisotropic material

KW - polycrystalline material

KW - variational calculus

U2 - 10.1016/S0022-5096(97)00032-X

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JF - Journal of the Mechanics and Physics of Solids

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Extremal Overall Elastic Response of Polycrystalline Materials

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Keywords

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