Vibration of a circular crack under three-dimensional loading

DOI10.1016/0021-8928(80)90061-1zbMath0466.73128OpenAlexW2027828572MaRDI QIDQ1155438

G. V. Tkachev, Vladimir Andreevich Babeshko

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90061-1

zbMATH Keywords

elastic layerharmonic oscillationsthree-dimensional problemone independent separate equationregularized by method of factorizationsystem of three integral equations of first kindthree-dimensional forcetransformed into system of two integral equationsupper and lower boundaries of layer are free of stressesvibration of upper and lower edges of circular crack

Mathematics Subject Classification ID

Factorization of matrices (15A23) Vibrations in dynamical problems in solid mechanics (74H45) Stress concentrations, singularities in solid mechanics (74G70) Fredholm integral equations (45B05) Brittle damage (74R05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Static and dynamic contact problems with cohesion
• La théorie de Fredholm
• Elastodynamic Stress-Intensity Factors for a Semi-Infinite Crack Under 3-D Loading

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