Inmost singularities of S.I.Es influencing their numerical solution in the BEM

DOI10.1016/j.enganabound.2007.08.008zbMath1244.74194OpenAlexW2038612673MaRDI QIDQ443226

Efstathios E. Theotokoglou, George J. Tsamasphyros

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.08.008

zbMATH Keywords

numerical integrationelasticityboundary element methodquadrature formulasingular integral equationinmost singularitiesnearby poles

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods applied to problems in solid mechanics (74S15)

Cites Work

• Singular loadings in elasticity problems and singular solutions of the corresponding integral equations
• A Gauss quadrature formula for Cauchy type integrals
• Equivalence and convergence of direct and indirect methods for the numerical solution of singular integral equations
• On the stress intensity factors associated with cracks interacting with an interface between two elastic media
• Singular integrals and boundary elements
• Stresses in bonded materials with a crack perpendicular to the interface
• A quadrature formula for integrals with nearby singularities
• Evaluation of Stress Intensity Factors Associated with Bimaterial Cracks
• Numerical determination of a class of generalized stress intensity factors
• Numerical solution of systems of singular integral equations with
• Gauss quadrature rules for finite part integrals
• Error estimation using hypersingular integrals in boundary element methods for linear elasticity.
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