A direct traction boundary integral equation method for three-dimension crack problems in infinite and finite domains

DOI10.1007/s00466-013-0918-8zbMath1398.74445OpenAlexW1965405262MaRDI QIDQ2512440

Jianming Zhang, Chenjun Lu, Cheng Huang, Guangyao Li, Guizhong Xie

Publication date: 7 August 2014

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

Full work available at URL: https://doi.org/10.1007/s00466-013-0918-8

zbMATH Keywords

singular integralsdiscontinuous elementsstress intensity factortraction boundary integral equationcracks opening displacement

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Dislocation in an infinite poroelastic medium
• Fast multipole DBEM analysis of fatigue crack growth
• A 3-D dual BEM formulation for the analysis of crack growth
• A boundary face method for potential problems in three dimensions
• Taylor expansions for singular kernels in the boundary element method
• Two-dimensional stress intensity factor computations using the boundary element method
• A galerkin symmetric boundary-element method in elasticity: Formulation and implementation
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• An efficient dual boundary element technique for a two‐dimensional fracture problem with multiple cracks

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