On the solution of certain integral equations of mixed problems of plate bending theory

DOI10.1016/0021-8928(84)90040-6zbMath0589.73050OpenAlexW2039639585MaRDI QIDQ1074377

V. B. Zelentsov

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)90040-6

zbMATH Keywords

bendingKirchhoff-Love plateFourier integral transformregular kernelconvolution-type integral equation of the first kindeffective asymptotic solutionexact inversionfinite segmentfunctions with non-integrable singularitiesprincipal part of the corresponding integral operatorthin linear rigid inclusion

Mathematics Subject Classification ID

Plates (74K20) Dynamical problems in solid mechanics (74H99) Theoretical approximation of solutions to integral equations (45L05) Elastic materials (74B99)

Related Items (5)

Asymptotic solution of the axisymmetric contact problem for an elastic layer of incompressible material ⋮ Unnamed Item ⋮ On a novel approach to the problem of the concentration of elastic stresses near a crack ⋮ An effective method of solving certain types of integral equations in problems of the theory of the bending of thin plates ⋮ Some mixed problems of the theory of the bending of plates on an elastic foundation

Cites Work

• Unnamed Item
• Unnamed Item
• Stamp motion on the surface of a thin covering on a hydraulic foundation
• On the singularities of contact forces in the bending of plates with fine inclusions
• Dynamic problems on the bending of a rectangular plate with mixed fixing conditions on the outline
• Contact problem for a semi-infinite cylindrical shell

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