44 citations · 148 across the 39 of their papers we have counts for
15 papers · 1 filter
On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, whe…
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters -- governing viscosity, plastic hardening, and convergence r…
Energetic solutions for the coupling of associative plasticity with damage in geomaterials
Vito Crismale
We prove existence of globally stable quasistatic evolutions, referred to as energetic solutions, for a model proposed by Marigo and Kazymyrenko in 2019. The behaviour of geomateri…
The variational approach to -fractional heat flows and the limit cases and
Lucia De Luca, Vito Crismale, Andrea Kubin +2
This paper deals with the limit cases for -fractional heat flows in a cylindrical domain, with homogeneous Dirichlet boundary conditions, as and \,. To this…
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…
Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity
Jean-François Babadjian, Vito Crismale
We prove the well--posedness of a dynamical perfect plasticity model under general assumptions on the stress constraint set and on the reference configuration. The problem is studi…
Balanced Viscosity solutions to a rate-independent coupled elasto-plastic damage system
Vito Crismale, Riccarda Rossi
A rate-independent model coupling small strain associative elasto-plasticity and damage is studied via a 'vanishing-viscosity' analysis with respect to all the variables describing…
A lower semicontinuity result for linearised elasto-plasticity coupled with damage in ,
Vito Crismale, Gianluca Orlando
We prove the lower semicontinuity of functionals of the form \[ \int \limits_Ω\! V(α) \, \mathrm{d} |\mathrm{E} u| \, , \] with respect to the weak converge of in ,…
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…
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…
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…
A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in
Vito Crismale, Gianluca Orlando
In this paper we prove a lower semicontinuity result of Reshetnyak type for a class of functionals which appear in models for small-strain elasto-plasticity coupled with damage. To…