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Models of elastic–perfectly plastic materials

Published online by Cambridge University Press:  16 July 2009

J. M. Greenberg
Affiliation:
Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, MD 21228, USA

Abstract

This note deals with a new model of elastic–perfectly plastic materials in which the yield stress is regarded as a threshold above which plastic flow occurs rather than a constraint which cannot be violated. This modelling change allows us to treat a number of signalling and impact problems not solvable within the classic framework of elastic–perfectly plastic materials.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

Antman, S. S. & Szymczak, W. G. 1989 Nonlinear elastoplastic wave. Contemp. Math. 100, 2754.CrossRefGoogle Scholar
Antman, S. S. & Szymczak, W. G. 1990 Large antiplane shearing motion of nonlinear viscoplastic materials. Preprint.Google Scholar
Coleman, B. D. & Owen, D. R. 1975 On thermodynamics and elastic-plastic materials. Arch. Rat. Mech. and Anal. 59, 2551.CrossRefGoogle Scholar
Buhite, J. L. & Owen, D. R. 1979 An ordinary differential equation from the theory of plasticity. Arch. Rat. Mech. and Anal. 71, 357383.CrossRefGoogle Scholar
Coleman, B. D. & Hodgdon, M. L. 1985 On shear bands in ductile materials. Arch. Rat. Mech. and Anal. 90, 219247.CrossRefGoogle Scholar
Owen, D. R. 1987 Weakly decaying energy separation and uniqueness of motions of an elastic-plastic oscillator with work-hardening. Arch. Rat. Mech. and Anal. 98, 95114.CrossRefGoogle Scholar