Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
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TLDR
Robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications are developed.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2016-06-15 and is currently open access. It has received 235 citations till now. The article focuses on the topics: Finite element method & Discretization.read more
Citations
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Book ChapterDOI
Phase-field modeling of fracture
TL;DR: This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician.
Journal ArticleDOI
Numerical methods for hydraulic fracture propagation: a review of recent trends
TL;DR: A review of the basic approaches for hydraulic fracture simulation can be found in this article, where the authors discuss both continuum and meso-scales numerical methods as well as engineering models which typically make use of additional assumptions to reduce computational cost.
Journal ArticleDOI
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies
TL;DR: The authors aim to devise a simple and efficient implementation of phase-field model for the modelling of quasi-static and dynamic fracture in the general purpose commercial software developer, COMSOL Multiphysics.
Journal ArticleDOI
A phase-field modeling approach of fracture propagation in poroelastic media
TL;DR: In this paper, a phase field model for fracture in poroelastic media is proposed, where the fracture propagation is driven by the elastic energy where the phase field is used as an interpolation function to transit fluid property from the intact medium to the fully broken one.
Journal ArticleDOI
Phase-field modeling of fluid-driven dynamic cracking in porous media
TL;DR: In this article, a phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed and verified through three classical benchmark problems which are compared to analytical solutions for dynamic consolidation and pressure distribution in a single crack and in a specimen with two sets of joints.
References
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Journal ArticleDOI
Revisiting brittle fracture as an energy minimization problem
TL;DR: In this paper, a variational model of quasistatic crack evolution is proposed, which frees itself of the usual constraints of that theory : a preexisting crack and a well-defined crack path.
Journal ArticleDOI
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.
Journal ArticleDOI
Numerical experiments in revisited brittle fracture
TL;DR: The numerical implementation of the model of brittle fracture developed in Francfort and Marigo (1998) is presented in this paper, where various computational methods based on variational approximations of the original functional are proposed.
Journal ArticleDOI
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
TL;DR: In this article, a thermodynamically consistent framework for phase-field models of crack propagation in elastic solids, developed incremental variational principles and considering their numerical implementations by multi-field finite element methods is presented.