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Dynamic Fracture. Existence, uniqueness, and quasistatic limit of dynamic evolutions for a peeling test in dimension one

Lorenzo Nardini
Friday, May 26, 2017 - 14:00

In this talk, we present some progress on a model related to the open problem of dynamic fracture. We study a simplified, one-dimensional model that still presents the main difficulties of the general problem, such as the coupling of the wave equation in a time-dependent domain with Griffith's criterion, which states how this domain evolves. We prove existence and uniqueness of the dynamic evolutions for the coupled problem and then we focus on the quasistatic limit as the speed of loading tends to zero. We shall find that this limit evolution is not, in general, an equilibrium since it does not satisfy Griffith's criterion in its quasistatic version.

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