Complex variable formulations for usual and hypersingular integral equations for potential problems -- with applications to corners and cracks

DOI10.1007/BF00368550zbMath0846.73079OpenAlexW1990837426MaRDI QIDQ1912029

R. Kolhe, Wenjing Ye, Chung-Yuen Hui, Subrata Mukherjee

Publication date: 10 June 1996

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

Full work available at URL: https://doi.org/10.1007/bf00368550

zbMATH Keywords

stress intensity factorsunbounded domainsbounded domainsmode III cracksPlemelj-Sokhotsky formulae

Mathematics Subject Classification ID

Fracture and damage (74R99)

Related Items (12)

Unnamed Item ⋮ Numerical solution of elastic inclusion problem using complex variable boundary integral equation ⋮ Unnamed Item ⋮ Solution of multiple crack problem in a finite plate using an alternating method based on two kinds of integral equation ⋮ Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable ⋮ Dual boundary integral equation formulation in plane elasticity using complex variable ⋮ Boundary integral equation method for two dissimilar elastic inclusions in an infinite plate ⋮ Numerical solution of the t-version complex variable boundary integral equation for the interior region in plane elasticity ⋮ Solution for Eshelby's elastic inclusions in a finite plate using boundary integral equation method ⋮ Generalized complex variable boundary integral equation for stress fields and torsional rigidity in torsion problems ⋮ Clifford algebra valued boundary integral equations for three-dimensional elasticity ⋮ Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A boundary element method for plane isotropic elastic media using complex variable technique
• Complex hypersingular integrals and integral equations in plane elasticity
• A Boundary Integral Equation Formulation in Derivative Unknowns for Two-Dimensional Potential Problems
• A Hermite interpolation algorithm for hypersingular boundary integrals
• Boundary‐element solution of some structural‐acoustic coupling problems using the multiple reciprocity method
• Hypersingular integrals in boundary element fracture analysis

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