An approach to constitutive modelling of elasto-plasticity via averaging of the dislocation trasport

Cherednichenko, Kirill 2010. An approach to constitutive modelling of elasto-plasticity via averaging of the dislocation trasport. Journal of the Mechanics and Physics of Solids 58 (5) , pp. 798-809. 10.1016/j.jmps.2010.01.002

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Abstract

Using an averaging procedure for large ensembles of dislocations, a basic but mathematically non-trivial modelling framework is developed for the transport of dislocation densities in a macroscopically homogeneous and isotropic film of a crystalline solid subjected to uniform shear. It has the form of a system of nonlinear, non-local partial differential equations of the first order with a source-type right-hand side. The solution to this system is studied numerically, and the associated average stress is evaluated as a function of time. The resulting stress-strain relations exhibit a size effect similar to those that previously motivated strain-gradient plasticity theories.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics Advanced Research Computing @ Cardiff (ARCCA)
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Dislocations; Elastic-plastic material; Constitutive behaviour; Homogenisation
Publisher:	Elsevier
ISSN:	0022-5096
Last Modified:	04 Nov 2017 23:38
URI:	https://orca.cardiff.ac.uk/id/eprint/13210

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