Some model problems of polycrystal plasticity with deficient basic crystals

Robert V. Kohn, Thomas D. Little

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)172-197
Number of pages26
JournalSIAM Journal on Applied Mathematics
Volume59
Issue number1
DOIs
StatePublished - 1998

ASJC Scopus subject areas

  • Applied Mathematics

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