Dipartimento di Matematica ''F. Casorati''

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Dynamic fracture: existence and uniqueness of evolutions for a simplified peeling test

Dr. Giuliano Lazzaroni, SISSA, Trieste

Sala conferenze IMATI-CNR - Martedì 2 Febbraio 2016 h.16:00

Abstract.  We present a simplified model of dynamic crack propagation, where the
equation of elastodynamics is coupled with Griffith's principle. In recent
years there has been an increasing interest in studying systems where
rate-dependent equations are coupled with rate-independent flow rules.
Despite a number of papers devoted to regularised models, only partial
results are available for dynamic fracture and heavy mathematical
difficulties have to be overcome. In our work we deal with a problem of
debonding propagation for a one-dimensional thin film, partially glued on a
substrate and subject to oscillations in the debonded part. We provide
existence and uniqueness results for dynamic evolutions and study the limit
as the speed of external loading tends to zero. We establish the properties
of the limit solution and see that in general it does not coincide with the
expected quasistatic limit.
Joint collaboration with Gianni Dal Maso and Lorenzo Nardini (SISSA).

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Dipartimento di Matematica ''F. Casorati''

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