Deformation of a composite elastic plane weakened by a periodic system of the arbitrarily loaded slits

DOI10.1016/0021-8928(81)90125-8zbMath0522.73076OpenAlexW2043425780MaRDI QIDQ1056276

E. L. Nakhmejn, B. M. Nuller, M. B. Ryvkin

Publication date: 1981

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(81)90125-8

zbMATH Keywords

certain types of symmetrycomposite elastic plane weakened by periodic system of arbitrarily loaded slitsdistributed along boundary of bond connecting two elastic half-planesedges touch each otherirregular loadsloaded by tangential stressesnonperiodic loadsnormal and tangential stresses applied to edgesopen cutsperiodic system of cutsrepresentation of symmetry groupssimultaneous use of discrete Fourier transformationsimultaneous use of discrete Fourier transformation and Muskhelishvili methodsolutions obtained in quadraturessolved in quadraturestheory of boundary value problems for automorphous analytic functions

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Brittle damage (74R05)

Related Items (8)

Limiting equilibrium of a piecewise-homogeneous body with shear cracks at the corner point of the interface ⋮ Unnamed Item ⋮ On quasiperiodic boundary value problems and their applications in the theory of elasticity ⋮ Stress concentration near the tip of an internal semi-infinite crack in a piecewise-homogeneous plane with a nonsmooth interface ⋮ On the integrable case of a Riemann-Hilbert boundary value problem for two functions and the solutions of certain mixed problems for a composite elastic plane ⋮ Nonsymmetric bending of a plate reinforced by a symmetric system of radial ribs ⋮ Effective solution of the fundamental quasi-periodic problems of the theory of elasticity for a plane with cuts distributed along a straight line ⋮ A piecewise-homogeneous elastic plane with a countable set of closed cracks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized periodic problem of the theory of elasticity
• An elastic-plastic problem under conditions of antiplanar deformation

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