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On the Evolution of Plasticity and Incompatibility
Anurag Gupta
Department of Mechanical Engineering University of California, Berkeley, CA 94720, USA
David J. Steigmann
Department of Mechanical Engineering University of California, Berkeley, CA 94720, USA
James S. Stölken
Department of Mechanical Engineering Lawrence Livermore National Laboratory Livermore, CA 94550, USA
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.
Key Words: Plasticity • compatibility • interfaces • symmetry
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This version was published on December
1, 2007
Mathematics and Mechanics of Solids, Vol. 12, No. 6,
583-610 (2007)
DOI: 10.1177/1081286506064721
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