Hamiltonian inclusions with convex dissipation with a view towards applications

Abstract

We propose a generalization of hamiltonian mechanics, as a hamiltonian inclusion with convex dissipation function. We obtain a dynamical version of the approach of Mielke to quasistatic rate-independent processes. Then we show that a class of models of dynamical brittle damage can be formulated in this setting.

References in corpus (1)

• Energy concentration and brittle crack propagation

Cited by in corpus (2)

• On the information content of the difference from hamiltonian evolution
• A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation