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IssuesArchive of Issues2008-3pp.512-524

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K. E. Kazakov and A. V. Manzhirov, "Conformal contact between layered foundations and punches," Mech. Solids. 43 (3), 512-524 (2008)
Year 2008 Volume 43 Number 3 Pages 512-524
DOI 10.3103/S0025654408030229
Title Conformal contact between layered foundations and punches
Author(s) K. E. Kazakov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, kazakov@ipmnet.ru)
A. V. Manzhirov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, manzh@ipmnet.ru)
Abstract We study the contact interaction between rigid punches and viscoelastic foundations with thin coatings for the cases in which the punch and coating surfaces are conformal (mutually repeating). Such problems can arise, for example, when the punch immerses into a solidificating coating before its complete solidification; as a result, the surface takes the shape of the punch base. Examples of such coatings can be a layer of glue, concrete at its young age, many polymeric materials. We consider plane contact problems for inhomogeneous aging viscoelastic basements in the case of their conformal contact with rigid punches. We present the statements of the problems and derive their basic mixed integral equation. The solution of this equation is constructed by using the generalized projection method. We present numerical computations of model problems, including the problem in which the shape of the punch base is described by a rapidly oscillating function.
Received 18 January 2008
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