Gupta, Anurag; Steigmann, David J.; Stölken, James S. On the evolution of plasticity and incompatibility. (English) Zbl 1133.74009 Math. Mech. Solids 12, No. 6, 583-610 (2007). Summary: 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 invariance properties of 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. Cited in 31 Documents MSC: 74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) 74A60 Micromechanical theories 74A50 Structured surfaces and interfaces, coexistent phases Keywords:invariance; material symmetry PDFBibTeX XMLCite \textit{A. Gupta} et al., Math. Mech. 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