Mathematical modelling of elastoplasticity at high stress

Journal article

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.

Authors: Howell, P; Ockendon, H; Ockendon, JR

• Publication status: Published
• Journal: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
• Volume: 468
• Issue: 2148
• Pages: 3842-3863
• Publication date: 2012-12-08
• DOI: 10.1098/rspa.2012.0269
• EISSN: 1471-2946
• ISSN: 1364-5021
• Language: English
• Keywords: yield stress; expansion waves; shock waves; elastoplasticity; rate-dependence