Internal Symmetry in Bilinear Elastoplasticity
Resource
International Journal of Non-Linear MechanicsInternational Journal of Non-Linear Mechanics, Vol.34, pp.279-288
Journal
International Journal of Non-Linear MechanicsInternational Journal of Non-Linear Mechanics
Journal Volume
Vol.34
Pages
279-288
Date Issued
1999
Date
1999
Author(s)
Chein-Shan Liu
Abstract
Internal symmetry of a constitutive model of bilinear elastoplasticity (i.e. linear elasticity combined with linear kinematic hardening-softening plasticity) is investigated. First the model is analyzed and synthesized so that a two-phase two-stage linear representation of the constitutive model is obtained. The underlying structure of the representation is found to be Minkowski spacetime, in which the augmented active states admit of a Lorentz group of transformations in the on phase. The kinematic rule of the model renders the transformation group inhomogeneous, resulting in a larger group - the proper orthochronous Poincaré group. © 1998 Elsevier Science Ltd. All rights reserved.
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