Abstract
Contact problem for a system of rigid annular rough punches and foundation with nonuniform coating of variable thickness is considered. We assume that coating nonuniformity, it's thickness, and forms of the punches can be described by rapidly changing functions. Mathematical model of the axisymmetric problem is compiled. It's efficient solution is constructed by using special Manzhirov projection method. In this solution coating properties and shapes of the contacting surfaces are represented by separate terms and factors. Such a result can hardly be done by other known methods. Qualitative conclusions are presented.
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