7 citations · 27 across the 18 of their papers we have counts for
3 papers · 1 filter
Crack initiation in elastic bodies
Antonin Chambolle, Alessandro Giacomini, Marcello Ponsiglione
In this paper we study the crack initiation in a hyper-elastic body governed by a Griffith's type energy. We prove that, during a load process through a time dependent boundary dat…
A -convergence approach to stability of unilateral minimality properties
Alessandro Giacomini, Marcello Ponsiglione
We prove the stability of a large class of unilateral minimality properties which arise naturally in the theory of crack propagation proposed by Francfort and Marigo in [Revisiting…
A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems
Alessandro Giacomini, Paola Trebeschi
We prove that if $\Om \subseteq \R^2$ is bounded and $\R^2 \setminus \Om$ satisfies suitable structural assumptions (for example it has a countable number of connected components),…