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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2009-4pp.471-477

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R.D. Bantsuri and N.N. Shavlakadze, "The contact problem for a piecewise-homogeneous plane with a semi-infinite inclusion," J. Appl. Math. Mech. 73 (4), 471-477 (2009)
Year 2009 Volume 73 Issue 4 Pages 471-477
Title The contact problem for a piecewise-homogeneous plane with a semi-infinite inclusion
Author(s) R.D. Bantsuri (Tbilisi, Georgia, nusha@rmi.acnet.ge)
N.N. Shavlakadze (Tbilisi, Georgia)
Abstract piecewise-homogenous elastic plate, reinforced with a semi-infinite inclusion, which intersects the interface at a right angle and is loaded with shear forces is considered. The contact stresses along the contact line are determined and the behaviour of the contact stresses in the neighbourhood of singular points is established. Using methods of the theory of analytical functions and integral transformations the problem is reduced to a system of singular integro-differential equations on the semi-axis. The solution is presented in explicit form.
Received 13 March 2008
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