A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
From MaRDI portal
Publication:1015661
DOI10.1007/s00466-006-0122-1zbMath1161.74054OpenAlexW2054789185MaRDI QIDQ1015661
Goangseup Zi, Stéphane Pierre Alain Bordas, Timon Rabczuk
Publication date: 8 May 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10092/136
Related Items
On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods, Numerical modeling of discrete multi-crack growth applied to pattern formation in geological brittle media, An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods, FRACTURE OF THIN PIPES WITH SPH SHELL FORMULATION, An alternative alpha finite element method (A\(\alpha \)FEM) for free and forced structural vibration using triangular meshes, A continuous-discontinuous cellular automaton method for cracks growth and coalescence in brittle material, A three-dimensional crack growth simulator with displacement discontinuity method, A domain decomposition based method for two-dimensional linear elastic fractures, Three-dimensional fracture propagation with numerical manifold method, On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order, Numerical simulation of crack curving and branching in brittle materials under dynamic loads using the extended non-ordinary state-based peridynamics, Meshfree Methods: A Comprehensive Review of Applications, Stress intensity factor analyses of three-dimensional interface cracks using tetrahedral finite elements, Partition of unity-based thermomechanical meshfree method for two-dimensional crack problems, Meshfree modelling of fracture -- a comparative study of different methods, A comparison of stress intensity factors obtained through crack closure integral and other approaches using extended element-free Galerkin method, Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment, A four-point integration scheme with quadratic exactness for three-dimensional element-free Galerkin method based on variationally consistent formulation, Detonation-driven fracture in thin shell structures: numerical studies, Analysis of concrete fracture using a novel cohesive crack method, Phenomenological method for fracture, Fracture modeling using meshless methods and level sets in 3D: Framework and modeling, A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement, Extended finite element method coupled with face-based strain smoothing technique for three-dimensional fracture problems, A configurational force driven cracking particle method for modelling crack propagation in 2D, Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning, Transient dynamic fracture analysis by an extended meshfree method with different crack-tip enrichments, XRPIM versus XFEM, SMOOTHED FINITE ELEMENT METHODS FOR THERMO-MECHANICAL IMPACT PROBLEMS, IMPACT SIMULATIONS USING SMOOTHED FINITE ELEMENT METHOD, XFEM with Smoothing Technique for Static Fracture Mechanics in Three-Dimension, An enriched dual boundary element method formulation for linear elastic crack propagation, Simulation of crack growth using cohesive crack method, A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates, Stable cracking particles method based on stabilized nodal integration and updated Lagrangian kernel, Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems, An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order, Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives, An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems, A simple and robust three-dimensional cracking-particle method without enrichment, A singular ES-FEM for plastic fracture mechanics, Coupling of finite element method with material point method by local multi-mesh contact method, A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh, Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment, An efficient and quadratic accurate linear-gradient smoothing integration scheme for meshfree Galerkin methods, A simplified continuous-discontinuous approach to fracture based on decoupled localizing gradient damage method, A two-level nesting smoothed meshfree method for structural dynamic analysis, Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach, An alternative alpha finite element method with discrete shear gap technique for analysis of laminated composite plates, A large-deformation Galerkin SPH method for fracture, Meshless study of dynamic failure in shells, Extended particle difference method for weak and strong discontinuity problems. I: Derivation of the extended particle derivative approximation for the representation of weak and strong discontinuities, New development in extended finite element modeling of large elasto-plastic deformations, Assessment of smoothed point interpolation methods for elastic mechanics, A meshless method for ductile fracture, A smoothed finite element method for plate analysis, On the static analysis of inhomogeneous magneto-electro-elastic plates in thermal environment via element-free Galerkin method, Strongly coupled XFEM formulation for non-planar three-dimensional simulation of hydraulic fracturing with emphasis on concrete dams, A rigorous and unified mass lumping scheme for higher-order elements, Chemo-mechanical phase-field modeling of dissolution-assisted fracture, A novel Galerkin-like weakform and a superconvergent alpha finite element method (S\(\alpha \)FEM) for mechanics problems using triangular meshes, Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping, Derivative recovery and a posteriori error estimate for extended finite elements, A continuous-discontinuous localizing gradient damage framework for failure analysis of quasi-brittle materials, SMOOTHED FINITE ELEMENTS LARGE DEFORMATION ANALYSIS, A mass lumping scheme for the 10-node tetrahedral element, Quasi-static analysis of mixed-mode crack propagation using the meshless local Petrov-Galerkin method, Towards the treatment of boundary conditions for global crack path tracking in three-dimensional brittle fracture, An efficient goal‐oriented sampling strategy using reduced basis method for parametrized elastodynamic problems, A two-level nesting smoothed extended meshfree method for static and dynamic fracture mechanics analysis of orthotropic materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method
- Stable particle methods based on Lagrangian kernels
- Meshfree simulations of thermo-mechanical ductile fracture
- An h-p adaptive finite element method for the numerical simulation of compressible flow
- An analysis of non-planar crack growth under mixed mode loading
- A posteriori error indicators for Maxwell's equations
- Numerical simulations of fast crack growth in brittle solids
- On the \(p\)- and \(hp\)-extension of Nédélec's curl-conforming elements
- An element-free Galerkin method for three-dimensional fracture mechanics
- A domain decomposition approach for heterogeneous time-harmonic Maxwell equations
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- An \(hp\)-adaptive finite element method for electromagnetics. I: Data structure and constrained approximation
- Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator
- \(hp\)-adaptive finite elements in electromagnetics
- Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements
- A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
- Modeling 3D crack propagation in unreinforced concrete using PUFEM
- Numerical prediction of fracture in the Taylor test
- Arbitrary discontinuities in finite elements
- Analysis of three-dimensional crack initiation and propagation using the extended finite element method
- A meshless method with enriched weight functions for three-dimensional crack propagation
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- Multigrid Method for Maxwell's Equations
- The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks
- Element‐free Galerkin methods
- A variational boundary integral method for the analysis of 3‐D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops
- An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
- A FINITE ELEMENT TECHNIQUE TO SIMULATE THE STABLE SHAPE EVOLUTION OF PLANAR CRACKS WITH AN APPLICATION TO A SEMI-ELLIPTICAL SURFACE CRACK IN A BIMATERIAL FINITE SOLID
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- A note on enrichment functions for modelling crack nucleation
- Arbitrary branched and intersecting cracks with the extended finite element method
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- A vector level set method and new discontinuity approximations for crack growth by EFG
- Reproducing kernel particle methods for structural dynamics
- A finite element method for crack growth without remeshing
- Residual based a posteriori error estimators for eddy current computation
- Adaptivity for structured meshfree particle methods in 2D and 3D