An improved direct method for evaluating hypersingular stress boundary integral equations in BEM

DOI10.1016/j.enganabound.2015.08.002zbMath1403.74166OpenAlexW1263738273MaRDI QIDQ1654863

Wei-Zhe Feng, Jian Liu, Xiao-Wei Gao

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.08.002

zbMATH Keywords

boundary element methodstress analysispower series expansionhypersingular integrals

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

The CPCT based CBIE and HBIE for potential problems in three dimensions ⋮ Implementation of CPCT based BIEs for 3D elasticity and its application in fracture mechanics ⋮ RIBEM for 2D and 3D nonlinear heat conduction with temperature dependent conductivity ⋮ A new DBEM for solving crack problems in arbitrary dissimilar materials ⋮ An improved singular curved boundary integral evaluation method and its application in dual BEM analysis of two- and three-dimensional crack problems ⋮ Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method ⋮ A binary-tree subdivision method for evaluation of singular integrals in 3D BEM

Uses Software

• BEMECH

Cites Work

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• Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals
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• Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• Projection plane method for evaluation of arbitrary high order singular boundary integrals
• On the free terms of the dual BIE for \(N\)-dimensional Laplace problems
• Advanced boundary element analysis of two- and three-dimensional problems of elasto-plasticity
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• A direct approach for boundary integral equations with high-order singularities
• Boundary element analysis of Kirchhoff plates with direct evaluation of hypersingular integrals

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