Uniform states in slightly defective crystals
type: Item
instance of: scholarly article
title: Uniform states in slightly defective crystals
zbMATH Open document ID: 0713.73022
DOI: 10.1007/BF00041682
published in: Journal of Elasticity
publication date: 1990-01-01T00:00:00Z
review text: A slightly defective crystal is a material whose response to deformation depends on a density, three linearly independent lattice or director vectors, the gradient of the density, and the curl of the lattice vectors at each point (the body has fields of these quantities defined on it). Uniform states of slightly defective crystals are states where the density is constant, the six inner products of the lattice vectors are constant, the gradient of the density is zero, and the nine inner products of the lattice vectors with their curls are constant over the whole body. The solution of these 15 equations is shown to be a field of rotation operators, and a uniform state is a configuration where the lattice vectors are rotated by varying amounts about a single fixed axis.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 82D25
Mathematics Subject Classification ID: 74A20
zbMATH DE Number: 4174431
zbMATH Keywords: constant density
zbMATH Keywords: three linearly independent lattice or director vectors
zbMATH Keywords: six inner products of the lattice vectors are constant
zbMATH Keywords: gradient of the density is zero
zbMATH Keywords: nine inner products of the lattice vectors with their curls are constant
zbMATH Keywords: solution of these 15 equations
zbMATH Keywords: field of rotation operators
author: Gareth P. Parry
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00041682
OpenAlex ID: W1969881084
description: scientific article; zbMATH DE number 4174431