Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
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 Issues2009-3pp.351-357

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A.S. Kravchuk, "The variational method in contact problems. The present state of the problem and trends in its development," J. Appl. Math. Mech. 73 (3), 351-357 (2009)
Year 2009 Volume 73 Issue 3 Pages 351-357
Title The variational method in contact problems. The present state of the problem and trends in its development
Author(s) A.S. Kravchuk (Moscow, Russia, kravchuk_biocom@mail.ru)
Abstract Research on variational methods for solving problems on the contact of solid deformable bodies is reviewed and trends in the development of these researches at the present time are analysed. The Signorini problem and it generalizations, numerical methods, different models of friction, investigations into the problem of the existence and uniqueness of a solution, the problem of rolling motion, the problem of describing the boundary conditions, inelastic materials and problems of contact dynamics and electro-elastic contact are considered. The analysis shows that research on the problem of the contact of deformable bodies is being conducted over a broad front in different areas and the results are being applied in different areas of modern engineering and technology.
Received 17 September 2008
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