On poroelastic strain energy degradation in the variational phase-field models for hydraulic fracture

DOI10.1016/j.cma.2023.116305arXiv2304.08139OpenAlexW4385719229MaRDI QIDQ6084439

Tao You, Keita Yoshioka

Publication date: 6 November 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.08139

zbMATH Keywords

multi-scale analysisphase-fieldporoelasticityhydraulic fracturefixed stress split

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Unnamed Item
• Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches
• Regularized variational theories of fracture: a unified approach
• An augmented-Lagrangian method for the phase-field approach for pressurized fractures
• Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
• Gradient damage models: toward full-scale computations
• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• Stabilized mixed formulation for phase-field computation of deviatoric fracture in elastic and poroelastic materials
• Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme
• The variational approach to fracture
• Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
• Elastic moduli of a cracked solid
• The effect of spatial distribution on the effective behavior of composite materials and cracked media
• Numerical experiments in revisited brittle fracture
• Phase-field modeling of a fluid-driven fracture in a poroelastic medium
• Validation simulations for the variational approach to fracture
• A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
• Revisiting brittle fracture as an energy minimization problem
• A variational phase-field model for hydraulic fracturing in porous media
• Phase-field modeling of fluid-driven dynamic cracking in porous media
• On penalization in variational phase-field models of brittle fracture
• A review on phase-field models of brittle fracture and a new fast hybrid formulation
• A consistent phase field model for hydraulic fracture propagation in poroelastic media
• Phase-field modeling of hydraulic fracture
• Variational modeling of hydromechanical fracture in saturated porous media: a micromechanics-based phase-field approach
• A phase field framework for capillary-induced fracture in unsaturated porous media: drying-induced vs. hydraulic cracking
• A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach
• IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media
• High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
• On crack opening computation in variational phase-field models for fracture
• Variational phase-field fracture modeling with interfaces
• Hydraulic fracturing modeling using the enriched numerical manifold method
• Identifying the crack path for the phase field approach to fracture with non-maximum suppression
• A phase-field approach embedded in the theory of porous media for the description of dynamic hydraulic fracturing
• Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
• Phase-field modeling of ductile fracture
• Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media
• A time-discrete model for dynamic fracture based on crack regularization
• Numerical implementation of the variational formulation for quasi-static brittle fracture
• Phase field model for simulating hydraulic fracture propagation and oil-water two-phase flow in reservoir
• A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
• Optimal approximations by piecewise smooth functions and associated variational problems
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• The near-tip region of a fluid-driven fracture propagating in a permeable elastic solid
• Mixed Finite Element Methods and Applications
• A quasi-static phase-field approach to pressurized fractures
• AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL
• Microporomechanics
• Phase-field modeling of drying-induced cracks: choice of coupling and study of homogeneous and localized damage