A $\Gamma$-convergence approach to stability of unilateral minimality properties

Alessandro Giacomini; Marcello Ponsiglione

arxiv: math/0510591 · v1 · submitted 2005-10-27 · 🧮 math.AP

A Gamma-convergence approach to stability of unilateral minimality properties

Alessandro Giacomini , Marcello Ponsiglione This is my paper

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keywords minimalitypropertiesstabilityunilateralapplicationapproacharisebrittle

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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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A Gamma-convergence approach to stability of unilateral minimality properties

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