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A $Γ$-convergence approach to stability of unilateral minimality properties

Alessandro Giacomini·Marcello Ponsiglione
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Abstract

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 brittle fractures as an energy minimization problem. J. Mech. Phys. Solids, 46 (1998), 1319-1342]. Then we give an application to the quasistatic evolution of cracks in composite materials.

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Alessandro Giacomini, Marcello Ponsiglione. 2005-10-27. A $Γ$-convergence approach to stability of unilateral minimality properties. https://arxiv.org/abs/math/0510591

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