Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
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IssuesArchive of Issues2016-4pp.345-350

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D.A. Pozharskii, "A strip cut in a composite elastic wedge," J. Appl. Math. Mech. 80 (4), 345-350 (2016)
Year 2016 Volume 80 Issue 4 Pages 345-350
DOI 10.1016/j.jappmathmech.2016.09.010
Title A strip cut in a composite elastic wedge
Author(s) D.A. Pozharskii (Don State Technical University, Rostov-on-Don, Russia,
Abstract Integral equations of new three-dimensional problems concerning a cut in the plane of symmetry of a composite elastic wedge are obtained. The wedge consists of three wedge-shaped layers with a common apex, connected by a sliding clamp: in the middle there is a compressible layer with a cut, to the sides of which two identical incompressible layers are pressed. For the case of a strip cut emerging on the edge of the composite wedge, using the method of paired integral equations, the problem is reduced to Fredholm integral equations of the second kind. An expression is obtained for the stress intensity factor.
Received 11 January 2016
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