16 citations · 19 across the 8 of their papers we have counts for
12 papers · 1 filter
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…
Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois-Reymond Necessary Conditions, and Hamilton-Jacobi Equations
Gianni Dal Maso, Helene Frankowska
This paper is devoted to the autonomous Lagrange problem of the calculus of variations with a discontinuous Lagrangian. We prove that every minimizer is Lipschitz continuous if the…
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…