Thermodynamical consistency of plasticity models is usually written in terms of the so-called "maximum dissipation principle''. In this paper, we discuss constitutive relations for dissipative materials written through suitable generalized gradients of a (possibly non-convex) metric. This new framework allows us to generalize the classical results providing an interpretation of the yield function in terms of Hamilton-Jacobi Equations theory.
A metric approach to plasticity via Hamilton-Jacobi equation
MARIGONDA, ANTONIO
2010-01-01
Abstract
Thermodynamical consistency of plasticity models is usually written in terms of the so-called "maximum dissipation principle''. In this paper, we discuss constitutive relations for dissipative materials written through suitable generalized gradients of a (possibly non-convex) metric. This new framework allows us to generalize the classical results providing an interpretation of the yield function in terms of Hamilton-Jacobi Equations theory.
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