New anisotropic crack-tip enrichment functions for the extended finite element method

DOI10.1007/s00466-012-0691-0zbMath1312.74029OpenAlexW1977206983MaRDI QIDQ1934526

G. Hattori, N. Sukumar, R. Rojas-Díaz, Andres Saez, Felipe García-Sánchez

Publication date: 29 January 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-012-0691-0

zbMATH Keywords

Stroh's formalismanisotropic materialsX-FEMcrack-tip enrichment functions

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (10)

Numerical simulation of fracking in shale rocks: current state and future approaches ⋮ An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework ⋮ Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment ⋮ Representation of singular fields without asymptotic enrichment in the extended finite element method ⋮ An X-FEM-based numerical-asymptotic expansion for simulating a Stokes flow near a sharp corner ⋮ Finite strain fracture analysis using the extended finite element method with new set of enrichment functions ⋮ The extended finite element method with new crack-tip enrichment functions for an interface crack between two dissimilar piezoelectric materials ⋮ XFEM for Fracture Analysis in 2D Anisotropic Elasticity ⋮ Anisotropic elastoplastic phase field fracture modeling of 3D printed materials ⋮ The extended finite element method with novel crack-tip enrichment functions for dynamic fracture analysis of interfacial cracks in piezoelectric-piezomagnetic bi-layered structures

Uses Software

• XFEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
• Traction boundary elements for cracks in anisotropic solids
• Fracture in magnetoelectroelastic materials using the extended finite element method
• The extended/generalized finite element method: An overview of the method and its applications
• Dislocations and Cracks in Anisotropic Elasticity
• Improved implementation and robustness study of the X-FEM for stress analysis around cracks
• Singularities, interfaces and cracks in dissimilar anisotropic media
• Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method
• Application of the X-FEM to the fracture of piezoelectric materials
• Elastic crack growth in finite elements with minimal remeshing
• 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
• An extended finite element method for modeling crack growth with frictional contact.

This page was built for publication: New anisotropic crack-tip enrichment functions for the extended finite element method