Subtraction, expansion and regularising transformation methods for singular kernel integrations in elastostatics

DOI10.1016/0895-7177(91)90076-JzbMath0727.73090OpenAlexW2069596768MaRDI QIDQ804391

T. T. Hibbs, William S. Hall

Publication date: 1991

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(91)90076-j

zbMATH Keywords

series expansionsregularising Jacobianthree-dimensional elastostaic problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods applied to problems in solid mechanics (74S15) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements ⋮ Green's identity checks and boundary element solution of new combined field integral equations for electromagnetic scattering ⋮ Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs

Cites Work

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• Accurate numerical integration of singular boundary element kernels over boundaries with curvature
• Taylor expansions for singular kernels in the boundary element method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Some criteria for numerically integrated matrices and quadrature formulas for triangles
• An advanced boundary integral equation method for three-dimensional thermoelasticity

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