An extended finite element method for modeling crack growth with frictional contact.
From MaRDI portal
Publication:5955316
DOI10.1016/S0045-7825(01)00260-2zbMath1033.74042OpenAlexW2400336179MaRDI QIDQ5955316
John E. Dolbow, Ted Beltytschko, Nicolas Moës
Publication date: 21 March 2004
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00260-2
Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items
Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods, Computational aspects of the mechanics of complex materials, Application of an enriched FEM technique in thermo-mechanical contact problems, Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids, Large deformation frictional contact analysis with immersed boundary method, Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis, Extended finite element method for fretting fatigue crack propagation, Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach, Extended finite element method for three-dimensional large plasticity deformations on arbitrary interfaces, A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted finite element method, A barrier method for frictional contact on embedded interfaces, The symmetric boundary element method for unilateral contact problems, Assumed enhanced strain and the extended finite element methods: a unification of concepts, Modeling strong discontinuities at finite strains -- a novel numerical implementation, A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities, Modelling dendritic solidification with melt convection using the extended finite element method, Extended layerwise method for laminated composite plates with multiple delaminations and transverse cracks, Modeling of thermo-mechanical fracture behaviors based on cohesive segments formulation, An automated mesh generation algorithm for simulating complex crack growth problems, Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems, Large sliding contact along branched discontinuities with X-FEM, High-fidelity simulations of multiple fracture processes in a laminated composite in tension, Chemically induced swelling of hydrogels, A weighted Nitsche stabilized method for small-sliding contact on frictional surfaces, Toward an optimal a priori reduced basis strategy for frictional contact problems with LATIN solver, An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact, Dynamic crack propagation analysis of orthotropic media by the extended finite element method, Computational homogenization of microfractured continua using weakly periodic boundary conditions, A concurrent multiscale study of dynamic fracture, A fourth-order unfitted characteristic finite element method for free-boundary problems, A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D, Numerical solutions for crack growth based on the variational theory of fracture, New anisotropic crack-tip enrichment functions for the extended finite element method, Crack face contact for a hexahedral-based XFEM formulation, The enhanced extended finite element method for the propagation of complex branched cracks, Modeling crack in viscoelastic media using the extended finite element method, The numerical simulation of interface crack propagation without re-meshing, An immersed finite element method for elliptic interface problems in three dimensions, A mesh-based partition of unity method for discontinuity modeling, A two-dimensional co-rotational Timoshenko beam element with XFEM formulation, An extended finite element method for fluid flow in partially saturated porous media with weak discontinuities; the convergence analysis of local enrichment strategies, A note on the singular linear system of the generalized finite element methods, An algorithm for continuum modeling of rocks with multiple embedded nonlinearly-compliant joints, The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem, A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, cohesive element method, Fracture and impulse based finite-discrete element modeling of fragmentation, A two-scale extended finite element method for modelling 3D crack growth with interfacial contact, The numerical simulation of the crack elastoplastic extension based on the extended finite element method, Extended finite element modeling of deformable porous media with arbitrary interfaces, Automating XFEM modeling process for optimal failure predictions, A novel constrained LArge Time INcrement method for modelling quasi-brittle failure, A PGD-based homogenization technique for the resolution of nonlinear multiscale problems, Stabilized low-order finite elements for frictional contact with the extended finite element method, Residual stress effects on crack-tip stress singularity in XFEM fracture analysis, A numerical contact algorithm in saturated porous media with the extended finite element method, ILS-MPM: an implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles, A phase-field model of frictional shear fracture in geologic materials, A phase-field crack model based on a directional strain decomposition and a stress-driven crack-opening indicator, A damage model for the frictional shear failure of brittle materials in compression, A local moving extended phase field method (LMXPFM) for failure analysis of brittle materials, A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture, Smart finite elements: a novel machine learning application, Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach, An implicit boundary finite element method with extension to frictional sliding boundary conditions and elasto-plastic analyses, General framework for dynamic large deformation contact problems based on phantom-node X-FEM, Discontinuous cellular automaton method for crack growth analysis without remeshing, A sideface traction approach for cohesive and frictional crack growth problems using SBFEM, A new and efficient boundary element-free method for 2-D crack problems, Fully coupled simulation of multiple hydraulic fractures to propagate simultaneously from a perforated horizontal wellbore, A mathematical model of the coupled mechanisms of cell adhesion, contraction and spreading, A mesh-free simulation of cracking and failure using the cohesive segments method, Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media, An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners, The influence of fluid flow on modeling quorum sensing in bacterial biofilms, Hydro-mechanical simulation of the saturated and semi-saturated porous soil-rock mixtures using the numerical manifold method, Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions, An unfitted interface penalty method for the numerical approximation of contrast problems, On the modeling of highly localized deformations induced by material failure: the strong discontinuity approach, Discrete fracture model for coupled flow and geomechanics, A multi-model X-FEM strategy dedicated to frictional crack growth under cyclic fretting fatigue loadings, Crack-face frictional contact modelling in cracked piezoelectric materials, Stability of incompressible formulations enriched with X-FEM, Extended finite element modeling of fatigue crack growth microstructural mechanisms in alloys with secondary/reinforcing phases: model development and validation, A state-of-the-art review of the X-FEM for computational fracture mechanics, Hydraulic fracturing modeling using the enriched numerical manifold method, A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface, A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media, A mortared finite element method for frictional contact on arbitrary interfaces, A finite element framework for modeling internal frictional contact in three-dimensional fractured media using unstructured tetrahedral meshes, Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model, An enriched-FEM technique for numerical simulation of interacting discontinuities in naturally fractured porous media, An immersed weak Galerkin method for elliptic interface problems, A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method, Anisotropic adaptive body-fitted meshes for CFD, Numerical modeling of concrete hydraulic fracturing with extended finite element method, Sharp interface Cartesian grid method. I: An easily implemented technique for 3D moving boundary computations, Sharp interface Cartesian grid method. III: Solidification of pure materials and binary solutions, On the implementation of a hydro-mechanical coupling model in the numerical manifold method, Optimal convergence analysis of a linearized second-order BDF-PPIFE method for semi-linear parabolic interface problems, Plastic crack-tip fields under thermoplastic loads, A hybrid extended finite element/level set method for modeling phase transformations, Discrete and continuum methods for numerical simulations of non-linear wave propagation in discontinuous media, Delamination analysis of composites by new orthotropic bimaterial extended finite element method, Stabilized global-local X-FEM for 3D non-planar frictional crack using relevant meshes, A level-set-based large sliding contact algorithm for easy analysis of implant positioning, Robust imposition of Dirichlet boundary conditions on embedded surfaces, Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method, CutFEM Method for Stefan--Signorini Problems with Application in Pulsed Laser Ablation, Stabilised finite-element methods for solving the level set equation with mass conservation, A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains, A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement, An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks, A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure, Extended finite element method for plastic limit load computation of cracked structures, Error analysis of Petrov-Galerkin immersed finite element methods, An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions, Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods, Equilibrium finite element and error estimation for frictional contact problem based on linear complementarity problem formulation, Modeling fracture propagation in a rock‐water‐air system with the assumed enhanced strain method, A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U‐notched structures, A dual mortar embedded mesh method for internal interface problems with strong discontinuities, A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems, Investigation of the shear band evolution in soil-rock mixture using the assumed enhanced strain method with the meshes of improved numerical manifold method, Error estimates for a partially penalized immersed finite element method for elasticity interface problems, An efficient phase-field model of shear fractures using deviatoric stress split, On the use of a mass lumping technique compatible with a fully‐coupled hydromechanical model for the case of strong discontinuities with the extended finite element method, A computational framework for crack propagation along contact interfaces and surfaces under load, A method for multiple crack growth in brittle materials without remeshing, A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method, An X-FEM approach for large sliding contact along discontinuities, Development of a quadratic finite element formulation based on the XFEM and NURBS, High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations, Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids, Finite deformation formulation for embedded frictional crack with the extended finite element method, Crack face contact in X-FEM using a segment-to-segment approach, Numerical simulation of multiple crack growth in brittle materials with adaptive remeshing, An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis, Robust and direct evaluation ofJ2in linear elastic fracture mechanics with the X-FEM, A contact algorithm for frictional crack propagation with the extended finite element method, Unnamed Item, The extended/generalized finite element method: An overview of the method and its applications, Stress analysis around crack tips in finite strain problems using the eXtended finite element method, New development in extended finite element modeling of large elasto-plastic deformations, An Improved Contact Formulation for Impact Crack Simulations in a Laminated Glass Beam, A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems, An extended finite element framework for slow-rate frictional faulting with bulk plasticity and variable friction, Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis, Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems, On the use of the extended finite element method with quadtree/octree meshes
Cites Work
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- The arbitrary local mesh replacement method: An alternative to remeshing for crack propagation analysis
- An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
- Large scale applications on parallel computers of a mixed domain decomposition method
- The partition of unity finite element method: basic theory and applications
- Discontinuous enrichment in finite elements with a partition of unity method
- Finite element models for rock fracture mechanics
- A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity
- An augmented lagrangian treatment of contact problems involving friction
- Elastic crack growth in finite elements with minimal remeshing
- Arbitrary branched and intersecting cracks with the extended finite element method
- A finite element method for crack growth without remeshing
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.