Calculus of Variations and Geometric Measure Theory

A. Giacomini - M. Ponsiglione

A Gamma-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications

created on 13 Oct 2004
modified by giacomini on 15 Dec 2006


Published Paper

Inserted: 13 oct 2004
Last Updated: 15 dec 2006

Journal: Arch. Ration. Mech. Anal
Volume: 180
Number: 3
Pages: 399-447
Year: 2006


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. Then we give an application to the quasistatic evolution of cracks in composite materials.

Keywords: Homogenization, $\Gamma$-convergence, variational models, energy minimization, composite materials, quasistatic crack propagation