18 citations · 24 across the 8 of their papers we have counts for
10 papers
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…
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
Giuliano Lazzaroni, Riccardo Molinarolo, Filippo Riva +1
We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms, we show how, through increasing regularity…
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
Roberto Alicandro, Lucia De Luca, Giuliano Lazzaroni +2
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pai…
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…
A discrete to continuum analysis of dislocations in nanowire heterostructures
Giuliano Lazzaroni, Mariapia Palombaro, Anja Schlömerkemper
Epitaxially grown heterogeneous nanowires present dislocations at the interface between the phases if their radius is big. We consider a corresponding variational discrete model wi…