Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Tymofiy Gerasimov"'
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 5, Iss 1, Pp 1-30 (2018)
Abstract This paper aims at investigating the adoption of non-intrusive global/local approaches while modeling fracture by means of the phase-field framework. A successful extension of the non-intrusive global/local approach to this setting would pav
Externí odkaz:
https://doaj.org/article/e27e9ae8125d461aa5caa5abb2c7f37a
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 4, Iss 1, Pp 1-23 (2017)
Abstract In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulomb and harmonic potentials,
Externí odkaz:
https://doaj.org/article/36f13ce5bb724ab2942a4313a8aff7b6
Autor:
Tymofiy Gerasimov, Guido Sweers
Publikováno v:
Electronic Journal of Differential Equations, Vol 2009, Iss 47,, Pp 1-54 (2009)
The operator $L=frac{partial ^{4}}{partial x^{4}} +frac{partial ^{4}}{partial y^{4}}$ appears in a model for the vertical displacement of a two-dimensional grid that consists of two perpendicular sets of elastic fibers or rods. We are interested in t
Externí odkaz:
https://doaj.org/article/c9280df8176b4e90a79d426f39b46ee4
In the context of shallow subsurface ice storage, low temperature coolant fluid is circulated through multiple borehole heat exchangers (BHEs) to form ice in the surrounding soil. This can be used later on in building cooling applications. To evaluat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20716e57705428e183c29d904f1af9d8
https://doi.org/10.5194/egusphere-egu23-11566
https://doi.org/10.5194/egusphere-egu23-11566
Autor:
Tymofiy Gerasimov, Laura De Lorenzis
Publikováno v:
Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids ISBN: 9783030375171
These lecture notes address the main challenging computational aspects of phase-field modeling of brittle fracture. We focus, in particular, on the irreversibility constraint and the iterative solution strategy for non-convex minimization problems. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28fb13f4ede85be06022e6709b064c01
https://doi.org/10.1007/978-3-030-37518-8_3
https://doi.org/10.1007/978-3-030-37518-8_3
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, 372
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 multiple solutions. The solution obtained in an actual computation is typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd55112f672da24085ef05e1d88a620d
Autor:
Tymofiy Gerasimov, Laura De Lorenzis
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, 389
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 models based on the family of regularizations proposed by Focardi (2001)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0949c499704438696161d16e0b06b105
https://doi.org/10.1016/j.cma.2021.114403
https://doi.org/10.1016/j.cma.2021.114403
Autor:
L. De Lorenzis, Tymofiy Gerasimov
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 312:276-303
Phase-field modeling of fracture phenomena in solids is a very promising approach which has gained popularity within the last decade. However, within the finite element framework, already a two-dimensional quasi-static phase-field formulation is comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70d263423c49d019041c2a64d8f118cd
https://doi.org/10.1016/j.cma.2015.12.017
https://doi.org/10.1016/j.cma.2015.12.017