Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy
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Publication:1986319
DOI10.1016/j.cma.2018.05.028zbMath1440.74424OpenAlexW2805758120MaRDI QIDQ1986319
Xia-Ting Feng, Fei Tan, Yu-Yong Jiao, Peter Wriggers, Jia-He Lv, Timon Rabczuk
Publication date: 8 April 2020
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.2018.05.028
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (13)
Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals ⋮ An adaptive phase-field model based on bilinear elements for tensile-compressive-shear fracture ⋮ An interaction integral method coupled with special crack tip elements for evaluation of stress intensity factors ⋮ Bi-directional sinh transformations based on the generalized Duffy space for nearly singular integrals ⋮ Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM ⋮ A systematic derived sinh based method for singular and nearly singular boundary integrals ⋮ A four-way enhanced numerical manifold method for crack propagation and failure analysis of rock slopes ⋮ Singularity cancellation method for time-domain boundary element formulation of elastodynamics: a direct approach ⋮ A boundary weak singularity elimination method for multilayer structures ⋮ The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture ⋮ A general algorithm for numerical integration of three-dimensional crack singularities in PU-based numerical methods ⋮ Near singularity cancellation in weakly singular integrals of three-dimensional boundary element method ⋮ The Distance-Sinh combined transformation for near-singularity cancelation based on the generalized Duffy normalization
Uses Software
Cites Work
- Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
- A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region
- The partition of unity finite element method: basic theory and applications
- A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
- Efficient evaluation of integrals with kernel \(1/r^\chi\) for quadrilateral elements with irregular shape
- The design and analysis of the generalized finite element method
- A new method for numerical integration of singular functions on the plane
- Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
- Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
- Appropriate extended functions for X-FEM simulation of plastic fracture mechanics
- Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- Dual Hybrid Boundary Node Method for Solving Transient Dynamic Fracture Problems
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery
- Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
- Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
- An extended finite element method for hydraulic fracture problems
- Parametric enrichment adaptivity by the extended finite element method
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- The dual boundary element method: Effective implementation for crack problems
- Partition of unity enrichment for bimaterial interface cracks
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
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