1993 · 44 citations · 15 references
ComputingComputational EngineeringMechanical EngineeringComputational MechanicsComputational Structural AnalysisMechanical Behavior Of MaterialsBoundary Element MethodsElasticity TheoryFracture MechanicsScattering AnalysisScattering ProblemsSolid Mechanics ApplicationsBoundary Element ModelingBoundary Integral EquationsElasticity ProblemsHypersingular Boundary Integral EquationsLine IntegralsSingular Integral Evaluation
Several techniques in dealing with nearly singular and hypersingular integrals which arise in applications of the boundary element method (BEM) are studied in this paper. The approach of using line integrals is emphasized and explored in some detail due to its high efficiency and accuracy. Numerical examples of stress analysis and scattering from an open crack in a 3-D elastic medium are presented to illustrate the ideas.
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A.J. Burton, G. F. Miller · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1971 · 1.2K citations