44 citations · 148 across the 39 of their papers we have counts for
3 papers · 2 filters
Equilibrium configurations for nonhomogeneous linearly elastic materials with surface discontinuities
Antonin Chambolle, Vito Crismale
We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a p…
Integral representation for energies in linear elasticity with surface discontinuities
Vito Crismale, Manuel Friedrich, Francesco Solombrino
In this paper we prove an integral representation formula for a general class of energies defined on the space of generalized special functions of bounded deformation () in…
A derivation of Griffith functionals from discrete finite-difference models
Vito Crismale, Giovanni Scilla, Francesco Solombrino
We analyze a finite-difference approximation of a functional of Ambrosio-Tortorelli type in brittle fracture, in the discrete-to-continuum limit. In a suitable regime between the c…