Boundary element method for membrane and torsion crack problems

DOI10.1016/0045-7825(83)90128-7zbMath0488.73096OpenAlexW2024663590MaRDI QIDQ1166341

Ernst Peter Stephan, Wolfgang L. Wendland

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90128-7

zbMATH Keywords

Mellin transformstress intensity factorsboundary integral equationsmembraneGarding inequalitystrongly ellipticcoupled system of integral equationsFredholm equations of second kindsingularity functionsconvergence of almost optimal order of Galerkin procedureconvergence results in scale of Sobolev spacesplane interface problemquasi-optimal asymptotic error estimatesregular finite elementssome of first kindtorsion crack problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Finite difference methods for boundary value problems involving PDEs (65N06) Fredholm integral equations (45B05) Brittle damage (74R05)

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