activity
20232026
collaborators

5 papers

math.AP2026

Quasistatic evolution of cohesive-type fracture

Vito Crismale, Manuel Friedrich

We prove the existence of globally stable quasistatic evolutions for a cohesive fracture model with unprescribed crack path and without any topological restriction, in arbitrary di…

math.FA2026

Phase-field approximation of sharp-interface energies accounting for lattice symmetry

Sergio Conti, Vito Crismale, Adriana Garroni +1

We present a phase-field approximation of sharp-interface energies defined on partitions, designed for modeling grain boundaries in polycrystals. The independent variable takes val…

math.AP2025

Adaptive finite element approximation for quasi-static crack growth

Vito Crismale, Manuel Friedrich, Joscha Seutter

We provide an adaptive finite element approximation for a model of quasi-static crack growth in dimension two. The discrete setting consists of integral functionals that are define…

math.AP2024

Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes

Vito Crismale, Lucia De Luca, Riccardo Scala

We further investigate the properties of an approach to topological singularities through free discontinuity functionals of Mumford-Shah type proposed in \cite{DLSVG}. We prove the…

math.AP2023

A rate-independent model for geomaterials under compression coupling strain gradient plasticity and damage

Maicol Caponi, Vito Crismale

We study a strain gradient-enhanced version of a model for geomaterials under compression by Marigo and Kazymyrenko (2019) coupling damage and small-strain associative plasticity.…