Mathematical modelling of elastoplasticity at high stress | Zendy

P. D. Howell | Zendy; H. Ockendon | Zendy; J. R. Ockendon | Zendy

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Mathematical modelling of elastoplasticity at high stress

Author(s) -

P. D. Howell,

H. Ockendon,

J. R. Ockendon

Publication year - 2012

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2012.0269

Subject(s) - mechanics , shock wave , compression (physics) , shock (circulatory) , stress wave , wave propagation , ductility (earth science) , stress (linguistics) , limit (mathematics) , plasticity , yield (engineering) , materials science , structural engineering , physics , engineering , mathematics , mathematical analysis , composite material , optics , medicine , linguistics , creep , philosophy

This study 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 focused 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. © 2012 The Royal Society

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