The biharmonic problem and progress in the development of analytical methods for the solution of boundary-value problems

DOI10.1023/A:1025049526317zbMath1270.74083MaRDI QIDQ1431234

Victor Grinchenko

Publication date: 27 May 2004

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

method of superpositionmethod of homogeneous solutionselastic rectanglegeneral solution of biharmonic boundary-value problemSaint-Venant principle.

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (6)

Construction method of analytical solutions to the mathematical physics boundary problems for non-canonical domains ⋮ Thermal stresses in an elastic rectangle ⋮ Axisymmetric equilibrium of an isotropic elastic solid circular finite cylinder ⋮ On the exact solutions of the biharmonic problem of the theory of elasticity in a half-strip ⋮ Application of the least squares method in axisymmetric biharmonic problems ⋮ Three-dimensional analytical solution for an axisymmetric biharmonic problem

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