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 dissipation written in
terms of suitable generalized gradients of a (possibly non-convex) metric.
This new framework allows us to generalize the classical results
providing an interpretation the yield function of the system in terms
of Hamilton-Jacobi Equations theory.