Phase-field modeling of a fluid-driven fracture in a poroelastic medium

By Andro Mikelić, Mary F. Wheeler, Thomas Wick. Computational Geosciences, 2015

181 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fc0c7a9a2bbe22ae8bed387d1d688ed15e7aa2bb

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model (2016, methodology): “Keywords: Phase Field; Fluid Filled Fracture; Adaptive Finite Elements; Porous Media; PrimalDual Active Set”
Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation (2017, methodology): “directions as attested in papers on various solution techniques [39, 50, 53, 1, 3, 48, 27, 74, 24], isogeometric analysis [12, 11, 34, 4, 33], discontinuous/enriched Galerkin [23, 58], adaptive (spatial) discretizations [18, 19, 8, 72], dynamic fracture [40, 41, 12, 16, 35, 62], ductile/cohesive fra”
Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity (2016, methodology): “In the former one, a nonhomogeneous Neumann condition is applied to the crack surface; a detailed derivation and corresponding mathematical analysis can be found in [40,41].”
Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, background): “Although reasonable results are shown for both the monolithic and staggered schemes, only for a monolithic system of phase-field fracture in porous media a mathematical existence result could be obtained [47]; in staggered schemes there is no final evidence that the numerical solution is valid from ”
On penalization in variational phase-field models of brittle fracture (2018, background): “extended to ductile (elasto-plastic) fracture [27, 28, 29, 30, 31, 32, 33], fracture in films [34, 35], shells [36, 37, 38, 39], fracture under thermal loading [40, 41, 42], hydraulic fracture [43, 44, 45, 46, 47, 48], fracture in porous media [49, 50, 51], anisotropic fracture [52, 53, 54, 55, 56, ”
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions (2017, background): “…to a number of multi-physics applications, which include cracking in piezoelectric solids (Miehe et al., 2010b), fluid-driven fracture propagation (Mikelić et al., 2015; Miehe et al., 2015b), thermal shock-induced cracks (Bourdin et al., 2014) and fragmentation of battery electrode particles…”