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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ISSN 0021-8928
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IssuesArchive of Issues2014-4pp.409-414

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M.V. Bedoidze and D.A. Pozharskii, "The interaction of punches on a transversely isotropic half-space," J. Appl. Math. Mech. 78 (4), 409-414 (2014)
Year 2014 Volume 78 Issue 4 Pages 409-414
Title The interaction of punches on a transversely isotropic half-space
Author(s) M.V. Bedoidze (Rostov-on-Don, Russia)
D.A. Pozharskii (Rostov-on-Don, Russia,
Abstract Three-dimensional contact problems on the interaction of two similar punches on an elastic transversely isotropic half-space (five elastic constants) are investigated, when the isotropy planes are perpendicular to the boundary of the half-space. In this connection the stiffness of the half-space boundary depends on the direction. The kernel of the integral equation of the contact problems is represented in a quadrature-free form using the theory of generalized functions. This form of the kernel enables it to be regularized at singular points and enables Galanov's method to be used to solve the contact problem with an unknown contact area.
Received 14 January 2014
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