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arXiv · 2009.08660

Damage dynamics, $G$-Convergence, Homogenization in dynamics, Threshold Conditions

Adriana Garroni·Christopher J. Larsen·David Sarrocco
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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 \cite{GL}).

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Adriana Garroni, Christopher J. Larsen, David Sarrocco. 2020-09-18. Damage dynamics, $G$-Convergence, Homogenization in dynamics, Threshold Conditions. https://arxiv.org/abs/2009.08660

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