4.4 Article

On the evolution of plasticity and incompatibility

Journal

MATHEMATICS AND MECHANICS OF SOLIDS
Volume 12, Issue 6, Pages 583-610

Publisher

SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286506064721

Keywords

plasticity; compatibility; interfaces; symmetry

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The phenomenological theory of elastic-plastic response is reconsidered in the light of recent opinion regarding the constitutive character of the constituent elastic and plastic deformations. The primary role of dissipation in the physics of plastic evolution is emphasized and shown to lead to the clarification of a number of open questions. Particular attention is given to the invariance properties of the elastic and plastic deformations, to the kinematics of discontinuities, and to the role of material symmetry in restricting constitutive equations for elastic response, yield and plastic evolution.

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