%0 Journal Article
%T HAMILTONIAN INCLUSIONS WITH CONVEX DISSIPATION WITH A VIEW TOWARDS APPLICATIONS
%A Marius Buliga
%J Mathematics and its Applications : Annals of the Academy of Romanian Scientists
%D 2010
%I Academy of Romanian Scientists Publishing House
%X 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.
%K Hamiltonian methods
%K nonlocal damage
%K convex dissipation
%U http://www.mathematics-and-its-applications.com/preview/january/data/1_buliga.pdf