181 citations · 223 across the 6 of their papers we have counts for
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cs.CE2021★ 38 cited
Second-order phase-field formulations for anisotropic brittle fracture
Tymofiy Gerasimov, Laura De Lorenzis
We address brittle fracture in anisotropic materials featuring two-fold and four-fold symmetric fracture toughness. For these two classes, we develop two variational phase-field mo…
cs.CE2020★ 2 cited
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
Tymofiy Gerasimov, Ulrich Römer, Jaroslav Vondřejc +2
In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit mul…