6 papers
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…
Radial solutions for a dynamic debonding model in dimension two
Giuliano Lazzaroni, Riccardo Molinarolo, Francesco Solombrino
In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule (Griffith's principle)…
Crack growth by vanishing viscosity in planar elasticity
Stefano Almi, Giuliano Lazzaroni, Ilaria Lucardesi
We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The cra…
Rate-independent damage in thermo-viscoelastic materials with inertia
Giuliano Lazzaroni, Riccarda Rossi, Marita Thomas +1
We present a model for rate-independent, unidirectional, partial damage in visco-elastic materials with inertia and thermal effects. The damage process is modeled by means of an in…
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…
Interactions beyond nearest neighbours and rigidity of discrete energies: a compactness result and an application to dimension reduction
Roberto Alicandro, Giuliano Lazzaroni, Mariapia Palombaro
We analyse the rigidity of discrete energies where at least nearest and next-to-nearest neighbour interactions are taken into account. Our purpose is to show that interactions beyo…