On singularities of the stress function at the corner points of the transverse cross-section of a twisted bar with a thin reinforcing layer

DOI10.1016/0021-8928(83)90040-0zbMath0536.73045OpenAlexW2142713862MaRDI QIDQ792139

N. Kh. Arutyunyan, Sergueï A. Nazarov

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(83)90040-0

zbMATH Keywords

Laplace operatorasymptotic expansionswedge-shaped regionstress intensity factorthird boundary value problemsingular behaviournormal solvabilityfeatures of the stress function at the corner pointgeneral opening angles of the corner region and reinforcing surface layertwisted reinforced bar

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Linear elasticity with initial stresses (74B10) Stress concentrations, singularities in solid mechanics (74G70) Composite and mixture properties (74E30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Acoustic waveguide with a dissipative inclusion ⋮ Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems ⋮ Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains

Cites Work

• Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
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