Some model problems of polycrystal plasticity with deficient basic crystals

Robert V. Kohn; Thomas D. Little

doi:10.1137/S0036139997320019

Some model problems of polycrystal plasticity with deficient basic crystals

Robert V. Kohn, Thomas D. Little

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the yield set of a (rigid-perfectly-plastic) polycrystal, where the basic crystal has very few slip systems. One would like to predict whether the effective behavior is ductile or rigid. We address this issue for some model problems of antiplane shear and plane stress. Our main tools are nonlinear homogenization, bounds via compensated compactness, and the elastic comparison method.

Original language	English (US)
Pages (from-to)	172-197
Number of pages	26
Journal	SIAM Journal on Applied Mathematics
Volume	59
Issue number	1
DOIs	https://doi.org/10.1137/S0036139997320019
State	Published - 1998

ASJC Scopus subject areas

Applied Mathematics

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Some model problems of polycrystal plasticity with deficient basic crystals

Abstract

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