Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model
type: Item
instance of: scholarly article
title: Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model
zbMATH Open document ID: 0669.73040
DOI: 10.1016/0022-5096(89)90010-0
author: Robert J. Asaro
author: Stephen V. Harren
published in: Journal of the Mechanics and Physics of Solids
publication date: 1989-01-01T00:00:00Z
review text: Full solutions to mixed rate boundary value problems over polycrystalline domains are performed via the finite element method. In oder to make these finite element calculations feasible, an idealized two-dimensional crystal structure is studied. These boundary value problems rigorously satisfy the averaging theorems of \textit{R. Hill} [Proc. R. Soc. London. Ser. A 326, 131-147 (1972; Zbl 0229.73004)] so that well defined Taylor model analogue problems may be identified and solved. Comparisons between the finite element solutions and their corresponding Taylor model analogues yield a quantitative assessment of the Taylor model's validity with respect to its predictions of texture development and global stress- strain response. The finite element calculations also provide physical insight into the mechanisms contributing to the development of nonuniform and localized deformations in polycrystals.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 4096871
zbMATH Keywords: mixed rate boundary value problems
zbMATH Keywords: polycrystalline domains
zbMATH Keywords: idealized two-dimensional crystal structure
zbMATH Keywords: averaging theorems
zbMATH Keywords: Taylor model analogue problems
MaRDI profile type: Publication
full work available at URL: 0022-5096(89)90010-0
OpenAlex ID: W1970788893
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description: scientific article; zbMATH DE number 4096871