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We prove the well--posedness of a dynamical perfect plasticity model undergeneral assumptions on the stress constraint set and on the referenceconfiguration. The problem is studied by combining both calculus of variationsand hyperbolic methods. The hyperbolic point of view enables one to derive aclass of dissipative boundary conditions, somehow intermediate betweenhomogeneous Dirichlet and Neumann ones. By using variational methods, we showthe existence and uniqueness of solutions. Then we establish the equivalencebetween the original variational solutions and generalizedentropic--dissipative ones, derived from a weak hyperbolic formulation forinitial--boundary value Friedrichs' systems with convex constraints.

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity