A metric approach to plasticity via Hamilton-Jacobi equation. (English summary) Math. Models Methods Appl. Sci. 20 (2010), no. 9, 1617–1647.1793-6314 Summary: “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 the Hamilton-Jacobi equation theory.
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