The equilibrium of an elastic space weakened by two spherical cavities and an external circular crack

DOI10.1016/0021-8928(93)90086-2zbMath0806.73013OpenAlexW2009328554MaRDI QIDQ1339586

P. V. Martynenko, A. I. Solov'ev

Publication date: 6 December 1994

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(93)90086-2

zbMATH Keywords

asymptotic formulastress intensity factorLaplace's equationFourier methodinfinite system of linear algebraic equations of the second kindsmall-parameter expansion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Cites Work

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• On the joint application of Cartesian and bipolar coordinates to solve boundary value problems of potential theory and elasticity theory
• Torsion of elastic bodies bounded by coordinate surfaces of toroidal and spherical coordinate systems
• Elastic equilibrium of circular piecewise-homogeneous media with a diametral crack

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