16 citations · 16 across the 3 of their papers we have counts for
4 papers · 1 filter
On a notion of unilateral slope for the Mumford-Shah functional
Gianni Dal Maso, Rodica Toader
In this paper we introduce a notion of unilateral slope for the Mumford-Shah functional, and provide an explicit formula in the case of smooth cracks. We show that the slope is not…
Quasistatic crack growth in finite elasticity
Gianni Dal Maso, Gilles A. Francfort, Rodica Toader
In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of -dimensional finite elastic…
A model for the quasi-static growth of brittle fractures based on local minimization
Gianni Dal Maso, Rodica Toader
We study a variant of the variational model for the quasi-static growth of brittle fractures proposed by Francfort and Marigo. The main feature of our model is that, in the discret…
A model for the quasi-static growth of a brittle fracture: existence and approximation results
Gianni Dal Maso, Rodica Toader
We give a precise mathematical formulation of a variational model for the irreversible quasi-static evolution of a brittle fracture proposed by G.A. Francfort and J.-J. Marigo, and…