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 13645021 (Submitted)

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Abstract
This paper describes a simple mathematical model for onedimensional 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 overdriven 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 08:18 
Last Modified:  29 May 2015 19:16 
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