Minimization principles for the coupled problem of Darcy–Biot-type fluid transport in porous media linked to phase field modeling of fracture

By C. Miehé, S. Mauthe, S. Teichtmeister. 2015

266 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/4885ca38a2c74ceb352e866249a967b3f8b357e4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, methodology): “[3, 4] coupled Darcy-Biot-type flow in poroelastic media and the phase field model.”
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions (2017, background): “…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 (Miehe et al., 2015a).”
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model (2016, methodology): “In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter.”
Phase-field modeling of anisotropic brittle fracture including several damage mechanisms (2018, unknown): “These approaches have been successfully applied to problems involving hydraulic fracture in porous media [6, 7], heterogeneous materials [8–11], ductile behaviors [12–15], ﬁnite deformation [16–18], thermal loading [19], fracture and debonding of thin ﬁlms [20, 21], fatigue eﬀects [22], etc.”
Phase-field modeling of hydraulic fracture (2016, methodology): “(2.58) Additionally, the spectral decomposition of the stored strain energy for an isotopic solid as described in the work of Miehe et al.[49] is adopted.”
A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics (2018, unknown): “We prevent the crack healing following the treatment used in [53], such that the global irreversibility constraint of crack evolution can be enforced by ensuring that the local driving force remains non-negative and that the phase field d is monotonically increasing.”
A phase-field modeling approach of fracture propagation in poroelastic media (2018, background): “[20, 27] proposed new minimization and saddle point principles for Darcy-Biot-type flow in fractured poroelastic media coupled with phase field modeling.”