EXACT SOLUTIONS OF CERTAIN DUAL INTEGRAL EQUATIONS AND THEIR ASYMPTOTIC PROPERTIES

DOI10.1093/qjmam/36.3.419zbMath0522.73012OpenAlexW2001259673MaRDI QIDQ3673209

L. R. Francis Rose, Frank R. de Hoog

Publication date: 1983

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/36.3.419

zbMATH Keywords

two-dimensional Laplace's equationanti-plane crack problemsconstitutes source of exact solutions of dual integral equationscorrelation between asymptotic properties of these solutions and those of weight functionset of mixed boundary-value problemssolutions exhibit widely different asymptotic propertiessolved exactly by complex-variable techniquesthree cases

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Dual, triple, etc., integral and series equations (45F10)

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Mode III crack in an isotropic elastic half-space ⋮ The Keldysh-Sedov method for a closed-form elastodynamic solution of the cracked strip under anti-plane shear

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