A metric approach to plasticity via Hamilton-Jacobi equation

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