On quasiperiodic boundary value problems and their applications in the theory of elasticity

DOI10.1016/0021-8928(82)90016-8zbMath0559.73021OpenAlexW3009760137MaRDI QIDQ2265842

B. M. Nuller, E. L. Nakhmejn

Publication date: 1983

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(82)90016-8

zbMATH Keywords

Dirichlet problemHilbert problemdiscrete Fourier transformRiemann problemperiodic coefficientshalf-planeelementary cellsolved in closed formnonperiodic boundary conditionsoblique lattice of arbitrary contoursperiodic system of slits on a lineperiodicity of the boundary conditionsquasiperiodic problemsreduced to periodic problemssystems of contours possessing translational symmetrytranslationally symmetric domains

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items (1)

Effective solution of the fundamental quasi-periodic problems of the theory of elasticity for a plane with cuts distributed along a straight line

Cites Work

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• Deformation of a composite elastic plane weakened by a periodic system of the arbitrarily loaded slits
• Certain cases of the elastic equilibrium of an infinite wedge with a nonsymmetric notch at the vertex, subjected to concentrated forces
• ELLIPTIC BOUNDARY VALUE PROBLEMS WITH PERIODIC COEFFICIENTS IN A CYLINDER

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