Crack Initiation in Elastic Bodies
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
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
Full Text:
PDFDOI: https://doi.org/10.1685/
Except where otherwise noted, content on this site is licensed under a Creative Commons 2.5 Italy License