38 citations · 42 across the 5 of their papers we have counts for
6 papers
Freezing of a deformable water-saturated porous medium. Part I: THM formulation, OpenGeoSys-6 implementation and benchmarking
Tymofiy Gerasimov, Christian B. Silbermann, Dmitri Naumov +3
In this contribution, Part I, we present a coupled thermo-hydro-mechanical formulation for modeling and analyzing water-to-ice phase change in a deformable fully-saturated porous m…
Neighbourhood watch in mechanics: non-local models and convolution
Thomas Nagel, Tymofiy Gerasimov, Dominik Kern
This paper is intended to serve as a low-hurdle introduction to non-locality for graduate students and researchers with an engineering mechanics or physics background who did not h…
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…
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…
On penalization in variational phase-field models of brittle fracture
Tymofiy Gerasimov, Laura De Lorenzis
Irreversible evolution is one of the central concepts as well as implementation challenges of both the variational approach to fracture by Francfort and Marigo (1998) and its regul…
On the -adaptive PUM and the -adaptive FEM approaches applied to PDEs in quantum mechanics
Denis Davydov, Tymofiy Gerasimov, Jean-Paul Pelteret +1
In this paper the -adaptive partition-of-unity method and the - and -adaptive finite element method are applied to partial differential equations arising in quantum mecha…