Fundamentals of kinematic hardening hyperplasticity. (English) Zbl 0987.74021

Summary: We present a hyperplastic (thermomechanical) framework for the modelling of kinematic hardening of plastic materials. The advantage of this approach is that it allows a compact development of plasticity theories, which are guaranteed to obey thermodynamic principles. Starting with a model which employs a single kinematically hardening yield surface, we generalize this first to multiple surfaces, and then to the case of an infinite number of yield surfaces. At each stage of generalization, the link with conventional plasticity is demonstrated, and examples of one- and multidimensional hyperplastic models are presented, together with their interpretation in terms of conventional plasticity theory.


74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74A15 Thermodynamics in solid mechanics
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