Singular Stresses in an Elastic Sphere Having an Annular Crack

DOI10.1002/ZAMM.19820620703zbMath0495.73085OpenAlexW2025867037MaRDI QIDQ3959588

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Publication date: 1982

Published in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19820620703

zbMATH Keywords

Hankel transformpenny-shaped crackannular crackinfinite system of algebraic equationsintegral equation of first kindperipheral edge crackexpanding unknown function into Chebyshev polynomialinto Jacobi polynomial for edge crackisotrophic spheresingular stresses expressed in closed form

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Integral equations with kernels of Cauchy type (45E05)

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Stress distribution near a penny-shaped crack on an off-diametral plane in a sphere

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