On the joint application of Cartesian and bipolar coordinates to solve boundary value problems of potential theory and elasticity theory

DOI10.1016/0021-8928(84)90039-XzbMath0589.73022OpenAlexW2085068815MaRDI QIDQ1074368

A. I. Solov'ev, V. S. Protsenko

Publication date: 1984

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(84)90039-x

zbMATH Keywords

harmonic functionsseparated variablesboundary value problems of potential theoryCartesian and bipolar coordinates

Mathematics Subject Classification ID

Elastic materials (74B99) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items

The equilibrium of an elastic space weakened by two spherical cavities and an external circular crack ⋮ 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 ⋮ On two mixed problems of antiplane strain of an elastic wedge with circular holes

Cites Work

• Application of the method of potentials in problems of fracture mechanics
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