A note on residual stress, lattice orientation and dislocation density in crystalline solids

Steigmann, D.J. and Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids. Journal of Elasticity, 109(2), pp. 275-283. (doi:10.1007/s10659-012-9378-1)

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Abstract

The theory of residually stressed crystals is discussed in the context of the finite deformation theory of elastic–plastic solids. Here residual stress is assumed to be due to the prior plastic flow of a single crystal. On the basis of recent experiments, as well as the structure of the underlying theory, we advance the view that the lattice orientation field should be regarded as data. This stands in contrast to the classical theory in which dislocation density is assigned.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Steigmann, D.J., and Ogden, R.W.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Elasticity
Journal Abbr.:J. Elasticity
ISSN:0374-3535
ISSN (Online):1573-2681

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