Abstract
The aim of this paper is to present a micro-mechanical damage model for quasi-brittle materials that accounts for friction effects on microcracks . We use homogenization based on asymptotic developments to deduce the overall damage behavior starting from explicit descriptions of elementary volumes with micro-cracks. A time-dependent propagation criterion is assumed for the evolution of cracks at the small scale. An appropriate micro-mechanical energy analysis is proposed leading to a damage evolution law that accounts for friction effects, strain rate dependency, stiffness degradation , material softening and size effects. Numerical results are presented in order to illustrate the local and structural effective damage response. Mesh-independency is proved for the finite-element solutions, as a consequence of the regularizing effect of time.
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