Mixed spatial problems of elasticity theory with a circular line separating the boundary conditions

Mixed problems for the Laplace equation in a half-space that occur in the theory of contact interaction and the theory of cracks are considered. The lines separating the boundary condition are considered to be circular, but the problem can be non-axisymmetric. Special integral relations are set up b...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1991, Vol.55 (1), p.106-113
Main Authors: Gol'dshtein, R.V., Zhitnikov, Yu.V.
Format: Article
Language:English
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Summary:Mixed problems for the Laplace equation in a half-space that occur in the theory of contact interaction and the theory of cracks are considered. The lines separating the boundary condition are considered to be circular, but the problem can be non-axisymmetric. Special integral relations are set up between the Fourier transform components of a harmonic function and its derivatives in the problems mentioned. The solution of a problem of an annular separation crack in an unbounded medium under non-axisymmetric loads is constructed as an example. Other examples are contained in /1–7/ and in the preprint ∗∗ ∗∗ Gol 'dshtein R.V. and ZHITNIKOV YU. V., Mixed Problems of Elasticity Theory with Circular Interfacial Lines. Separation Cracks. Contact Problems with Friction Under Complex Loading. Preprint 365, Inst. of Applied Mechanics, Academy of Sciences of the USSR, 1988. where the contact problem is considered.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(91)90069-7