3 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…