The Mathematical Institute, University of Oxford, Eprints Archive

Mathematical modelling of elastoplasticity at high stress

Howell, P. D. and Ockendon, H. and Ockendon, J. R. Mathematical modelling of elastoplasticity at high stress. Proceedings of the Royal Society of London A . ISSN 1364-5021 (Submitted)

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Abstract

This paper describes a simple mathematical model for one-dimensional elastoplastic wave propagation in a metal in the regime where the applied stress greatly exceeds the yield stress. Attention is focussed on the increasing ductility that occurs in the over-driven limit when the plastic wave speed approaches the elastic wave speed. Our model predicts that a plastic compression wave is unable to travel faster than the elastic wave speed, and instead splits into a compressive elastoplastic shock followed by a plastic expansion wave.

Item Type:Article
Subjects:H - N > Mechanics of deformable solids
O - Z > Partial differential equations
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:1576
Deposited By:Peter Howell
Deposited On:01 Aug 2012 09:18
Last Modified:01 Aug 2012 09:18

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