315 citations · 410 across the 10 of their papers we have counts for
10 papers
Visco-energetic solutions for a model of crack growth in brittle materials
Gianni Dal Maso, Riccarda Rossi, Giuseppe Savaré +1
Visco-energetic solutions have been recently advanced as a new solution concept for rate-independent systems, alternative to energetic solutions/quasistatic evolutions and balanced…
Rate-independent damage in thermo-viscoelastic materials with inertia
Giuliano Lazzaroni, Riccarda Rossi, Marita Thomas +1
We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an in…
An artificial viscosity approach to quasistatic crack growth
Rodica Toader, Chiara Zanini
We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified -gradient flow of the energy functional, a…
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…
Quasi-static evolution in brittle fracture: the case of bounded solutions
Gianni Dal Maso, Gilles A. Francfort, Rodica Toader
The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex…
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…