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math.AP2026
Solid-solid phase transitions with space-dependent wells
Elisa Davoli, Jakob Deutsch, Manuel Friedrich +1
We investigate a second-order Modica-Mortola functional of the form \[ E_\varepsilon[u] := \int_Ω\frac{1}{\varepsilon} W(x, \nabla u) + \varepsilon|\nabla^2 u|^2 \, dx, \] which mo…
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.AP2026
Eigenfracture approximation of quasi-static crack growth in brittle materials
Ba Duc Duong, Manuel Friedrich
We study an approximation scheme for a variational theory of quasi-static crack growth based on an eigendeformation approach. We consider a family of energy functionals depending o…