Some numerical issues on the use of XFEM for ductile fracture
From MaRDI portal
Publication:1934513
DOI10.1007/s00466-012-0694-xzbMath1312.74045OpenAlexW2028233657MaRDI QIDQ1934513
Tomaž Rodič, Mariana R. R. Seabra, Primož Šuštarič, Jose M. A. Cesar de Sa
Publication date: 29 January 2013
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-012-0694-x
Related Items
Damage driven crack initiation and propagation in ductile metals using XFEM ⋮ Transient dynamic fracture analysis by an extended meshfree method with different crack-tip enrichments ⋮ Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach ⋮ A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids ⋮ CIPFAR: a 3D unified numerical framework for the modeling of ductile fracture based on the phase field model and adaptive remeshing ⋮ Solution of nearly incompressible field problems using a generalized finite element approach
Uses Software
Cites Work
- Unnamed Item
- Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Extended finite element method for three-dimensional large plasticity deformations on arbitrary interfaces
- Automation of primal and sensitivity analysis of transient coupled problems
- Stability of incompressible formulations enriched with X-FEM
- FINGER: A symbolic system for automatic generation of numerical programs in finite element analysis
- Randomized incremental construction of Delaunay and Voronoi diagrams
- Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
- Design of simple low order finite elements for large strain analysis of nearly incompressible solids
- Automatic generation of finite-element code by simultaneous optimization of expressions
- From continuous to discontinuous failure in a gradient-enhanced continuum damage model.
- 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 numerically accurate finite element solutions in the fully plastic range
- A thermodynamic method for the construction of a cohesive law from a nonlocal damage model
- Appropriate extended functions for X-FEM simulation of plastic fracture mechanics
- A regularized XFEM framework for embedded cohesive interfaces
- Arbitrary discontinuities in finite elements
- Quadrilateral elements for the solution of elasto‐plastic finite strain problems
- 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
- Stress analysis around crack tips in finite strain problems using the eXtended finite element method
- On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
- Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
- Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic–plastic media
- A corrected XFEM approximation without problems in blending elements
- Fast integration and weight function blending in the extended finite element method
- A regularized XFEM model for the transition from continuous to discontinuous displacements
- Quadrature rules for triangular and tetrahedral elements with generalized functions
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- Generalization of selective integration procedures to anisotropic and nonlinear media
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- New enhanced strain elements for incompressible problems
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Elastic crack growth in finite elements with minimal remeshing
- Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
- Mesh independent modelling of cracks by using higher order shape functions
- On the construction of blending elements for local partition of unity enriched finite elements
- Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test
- A finite element method for crack growth without remeshing
- Formulation of implicit finite element methods for multiplicative finite deformation plasticity
- The generalized finite element method
