Crack Initiation in Elastic Bodies

Alessandro Giacomini

Abstract


The talk concerns crack initiation in a hyper-elastic body governed by a Griffith's type energy.
In collaboration with Antonin Chambolle (Ecole Polytechnique, Paris) and Marcello Ponsiglione
(Max Planck Institute, Leipzig) we prove that, during a loading process and in absence of strong
singularities, the crack appears after a strictly positive time. On the contrary, in presence of a
point x of strong singularity, a crack will depart from x at the initial time of loading and with zero velocity.
We prove these facts for admissible cracks belonging to the large class of closed one
dimensional sets with a finite number of connected components.

[DOI: 10.1685/CSC06088] About DOI

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DOI: http://dx.doi.org/10.1685/




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