Methods of homogeneous solutions and superposition in static boundary-value problems for an elastic half strip

DOI10.1007/BF00911331zbMath0623.73029MaRDI QIDQ3761767

Viatcheslav V. Meleshko, Alexander Gomilko, Victor Grinchenko

Publication date: 1986

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

convergenceboundary problemsmethod of superpositioninfinite systemtwo-dimensional problemmethod of homogeneous solutionsbodies of finite dimensionsstatic deformationsa priori asymptotic estimatesa priori determination of limiting value of unknownsisotropic half-stripnature of behavior of coefficientsstress-free long edgestraction on the finite edge

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Series solutions to PDEs (35C10) Elastic materials (74B99)

Related Items (6)

Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited ⋮ Method of homogeneous solutions in problems with mixed boundary conditions ⋮ Asymptotic behavior of the unknowns at the solving of the plane problem of the longitudinal deformation of an elastic semiband by the superposition method ⋮ Method of homogeneous solutions in a mixed problem for an elastic halfstrip ⋮ Convergence of expansions with respect to homogeneous solutions in a plane problem for a semistrip with nonsmooth loads ⋮ Method of homogeneous solutions under non-smooth loads

Cites Work

• Unnamed Item
• The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions
• Solution of the plane end problem for a semi-infinite elastic strip
• The effect of couple-stresses on the corner singularity due to an asymmetric shear loading

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