Bergman’s integral operator method in inhomogeneous elasticity

DOI10.1090/qam/508775zbMath0417.73018OpenAlexW2561585294MaRDI QIDQ3208162

David L. Clements, Colin Rogers

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1090/qam/508775

zbMATH Keywords

Fredholm integral equationinhomogeneous elasticitystressharmonic functionsdisplacementiterative solutioncrack tip stress intensity factorpressurized crackBergman's integral operator methodhodograph equations of subsonic and supersonic gasdynamicsPlevako equations

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70) General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) Supersonic flows (76J20) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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An equilibrium penny-shaped crack in an inhomogeneous elastic medium ⋮ On Ermakov-Painlevé II systems. Integrable reduction ⋮ A Griffith crack problem for a nonhomogeneous medium ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ On a Stefan problem involving a special spherical region: Application of a Bergman-type expansion ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction ⋮ Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series ⋮ A Griffith crack problem for an inhomogeneous elastic material

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