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Extended Finite Element Method: Theory and Applications
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In this article, the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics are introduced.Abstract:
Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics • Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. • Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems • Accompanied by a website hosting source code and examplesread more
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Journal ArticleDOI
A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics
Eric Cushman Bryant,WaiChing Sun +1 more
TL;DR: In this paper, a mixed-mode I/II fracture model that employs multiple critical energy release rates based on Shen and Stephansson, IJRMMS, 1993 is reformulated in a regularized phase field fracture framework.
Journal ArticleDOI
An XFEM-based method with reduction technique for modeling hydraulic fracture propagation in formations containing frictional natural fractures
TL;DR: In this paper, a reduction technique is proposed in a tightly coupled model in which the equilibrium and flow continuity equations are solved simultaneously by the Newton-Raphson method, which can significantly accelerate the simulation without worsening the convergence or losing the computational accuracy.
Journal ArticleDOI
A mesh-independent finite element formulation for modeling crack growth in saturated porous media based on an enriched-FEM technique
TL;DR: In this paper, a crack growth simulation is presented in saturated porous media using the extended finite element method, where the mass balance equation of fluid phase and the momentum balance of bulk and fluid phases are employed to obtain the fully coupled set of equations in the framework of $$u{-}p$$ formulation.
Journal ArticleDOI
An enriched FEM technique for modeling hydraulically driven cohesive fracture propagation in impermeable media with frictional natural faults: Numerical and experimental investigations
Journal ArticleDOI
An extended consecutive-interpolation quadrilateral element (XCQ4) applied to linear elastic fracture mechanics
TL;DR: In this paper, a novel extended 4-node quadrilateral finite element (XCQ4) based on a consecutive interpolation procedure (CIP) with continuous nodal stress for accurately modeling singular stress fields near crack tips of two-dimensional (2D) cracks in solids is presented.
Related Papers (5)
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more