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math.FA2008
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
Gianni Dal Maso, Alessandro Giacomini, Marcello Ponsiglione
We present the main existence result for quasistatic crack growth in the model proposed by Dal Maso, Francfort, and Toader, and prove some qualitative properties of the solutions.
math.FA2002★ 2 cited
A duality approach for variational problems in domains with cracks
Francois Ebobisse, Marcello Ponsiglione
In this paper we study the asymptotic behaviour of the solutions of some minimization problems for integral functionals with convex integrands, in two-dimensional domains with crac…
math.FA2002
Stability of some unilateral free-discontinuity problems in two-dimensional domains
Francois Ebobisse, Marcello Ponsiglione
The purpose of this paper is to study the stability of some unilateral free-discontinuity problems, under perturbations of the discontinuity sets in the Hausdorff metric.