16 citations · 17 across the 5 of their papers we have counts for
5 papers
Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
Gianni Dal Maso, Adriana Garroni
In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local min…
Quasistatic crack growth for a cohesive zone model with prescribed crack path
Gianni Dal Maso, Chiara Zanini
In this paper we study the quasistatic crack growth for a cohesive zone model. We assume that the crack path is prescribed and we study the time evolution of the crack in the frame…
Quasistatic evolution problems for linearly elastic - perfectly plastic materials
Gianni Dal Maso, Antonio DeSimone, Maria Giovanna Mora
The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of…
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…