2 papers
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
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials
Manuel Friedrich, Joscha Seutter
We study the atomistic-to-continuum limit for a model of a quasi-static crack evolution driven by time-dependent boundary conditions. We consider a two-dimensional atomic mass spri…