Finite-part integral and boundary element method to solve flat crack problems

DOI10.1007/BF02456148zbMath0771.73087MaRDI QIDQ1210174

Renji Tang, Tai-Yan Qin

Publication date: 13 June 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

three-dimensional elasticitystress intensity factorshypersingular integral equationsdisplacement discontinuitiesSomigliana formula

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Fracture and damage (74R99)

Related Items (1)

Numerical solution for an epicycloid crack

Cites Work

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• Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity
• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• The numerical evaluation of principal value integrals by finite-part integration
• An integral equations method for solving the problem of a plane crack of arbitrary shape
• Three-dimensional crack analysis
• On the solution of integral equations with strongly singular kernels
• Gauss quadrature rules for finite part integrals

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