Enrichment strategies and convergence properties of the XFEM for hydraulic fracture problems
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Publication:1669322
DOI10.1016/j.cma.2014.09.004zbMath1423.74884OpenAlexW2014724559MaRDI QIDQ1669322
Elizaveta Gordeliy, Anthony P. Peirce
Publication date: 30 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.09.004
Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theories of fracture and damage (74A45)
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An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems, Implicit level set algorithms for modelling hydraulic fracture propagation, Coupling schemes for modeling hydraulic fracture propagation using the XFEM, Implicit level set schemes for modeling hydraulic fractures using the XFEM, 3D coupled HM-XFEM modeling with cohesive zone model and applications to non planar hydraulic fracture propagation and multiple hydraulic fractures interference, Fully coupled simulation of multiple hydraulic fractures to propagate simultaneously from a perforated horizontal wellbore, Comparison of fully-coupled and sequential solution methodologies for enhanced geothermal systems, A hybrid XFEM-phase field (\textit{Xfield}) method for crack propagation in brittle elastic materials, An enriched-FEM technique for numerical simulation of interacting discontinuities in naturally fractured porous media
Uses Software
Cites Work
- Unnamed Item
- Coupling schemes for modeling hydraulic fracture propagation using the XFEM
- A Hermite cubic collocation scheme for plane strain hydraulic fractures
- Numerical modeling of concrete hydraulic fracturing with extended finite element method
- Variational methods in theoretical mechanics
- Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation
- Discontinuous enrichment in finite elements with a partition of unity method
- On the moving boundary conditions for a hydraulic fracture
- Implicit level set schemes for modeling hydraulic fractures using the XFEM
- An implicit level set method for modeling hydraulically driven fractures
- A new method for modelling cohesive cracks using finite elements
- Modelling crack growth by level sets in the extended finite element method
- 3D corrected XFEM approach and extension to finite deformation theory
- The extended/generalized finite element method: An overview of the method and its applications
- The Bending Stress Distribution at the Base of a Stationary Crack
- A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM)
- Localized Jacobian ILU preconditioners for hydraulic fractures
- Buoyancy-driven crack propagation: the limit of large fracture toughness
- Buoyancy-driven fluid fracture: similarity solutions for the horizontal and vertical propagation of fluid-filled cracks
- A corrected XFEM approximation without problems in blending elements
- Fast integration and weight function blending in the extended finite element method
- An extended finite element method for hydraulic fracture problems
- Elastic crack growth in finite elements with minimal remeshing
- The crack tip region in hydraulic fracturing
- An efficient multi-layer planar 3D fracture growth algorithm using a fixed mesh approach
- THE PARTITION OF UNITY METHOD
- New crack‐tip elements for XFEM and applications to cohesive cracks
- Extended finite element method for quasi-brittle fracture
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
- A dual mesh multigrid preconditioner for the efficient solution of hydraulically driven fracture problems
- Buoyancy-driven crack propagation from an over-pressured source
- On a Variational Theorem in Elasticity
- Elasticity
- The scaled flexibility matrix method for the efficient solution of boundary value problems in 2D and 3D layered elastic media
