Damage dynamics: A variational approach

Abstract

In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see [12]).

Keywords

• damage dynamics
• g-convergence
• homogenization in dynamics
• threshold conditions.