Geodesic
The conformal contact between punches and coated solids with complicated surface profile
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 80-89

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The contact interaction between system of rigid punches and viscoelastic foundations with thin coatings for the cases in which the punches and coating surfaces are conformal (mutually repeating) is studied. Such problems can arise, for example, when the punch immerses into a solidifying coating before its complete solidification. The shapes of punches surfaces could be described by a fast oscillating functions. Basic system of mixed integral equation is obtained. The solution of this system is constructed by using the generalized projection method. Qualitative conclusions are discussed. 
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     title = {The conformal contact between punches and coated solids with complicated surface profile},
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A. V. Manzhirov; S. P. Kurdina; S. Kuсharski. The conformal contact between punches and coated solids with complicated surface profile. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 80-89. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a13/