44 citations · 148 across the 39 of their papers we have counts for
8 papers · 1 filter
Vacuum distribution, norm and spectral properties for sums of monotone position operators
Vitonofrio Crismale, Yun Gang Lu
We investigate the spectrum for partial sums of m position (or gaussian) operators on monotone Fock space based on . In the basic case of the first consecutive…
Phase-field approximation for a class of cohesive fracture energies with an activation threshold
Antonin Chambolle, Vito Crismale
We study the -limit of Ambrosio-Tortorelli-type functionals , whose dependence on the symmetrised gradient is different in and in $e(u)…
Existence of strong solutions to the Dirichlet problem for the Griffith energy
Antonin Chambolle, Vito Crismale
In this paper we continue the study of the Griffith brittle fracture energy minimisation under Dirichlet boundary conditions, suggested by Francfort and Marigo in 1998. In a recent…
Weakly Monotone Fock Space and Monotone Convolution of the Wigner Law
Vitonofrio Crismale, Maria Elena Griseta, janusz Wysoczanski
We study the distribution (w.r.t. the vacuum state) of family of partial sums Sm of position operators on weakly monotone Fock space. We show that any single operator has the Wigne…
Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach
Roberto Alessi, Vito Crismale, Gianluca Orlando
We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repea…
On the approximation of functions and some applications
Vito Crismale
Three density theorems for three suitable subspaces of functions, in the strong topology, are proven. The spaces are , , where the absolutely continuo…
Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue
Vito Crismale, Giuliano Lazzaroni, Gianluca Orlando
In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the…
Compactness and lower semicontinuity in
Antonin Chambolle, Vito Crismale
In this paper, we prove a compactness and semicontinuity result in for sequences with bounded Griffith energy. This generalises classical results in by Ambrosio and…