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 |
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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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