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The considered in this work issue allow to modeling contact phenomena and wear processes on the contact surface of a flat plates. Unlike many previous works, here the mentioned plates are treated as a friction connection of elastic bodies, and hence an effect of wear and elasticity (flexibility) of material of contacting materials is considered. A integral wear model describing gradual decreasing of speed of wear of plates as a result of abrasive adapting to each other in the process of the exploitation is considered. As a result of mathematical modeling the system of linear heterogeneous algebraic equations is obtained. The presented modeling allows for obtaining real contact pressure distribution on the contact surface and wear of individual plates. Some interesting numerical results are obtained, reported and discussed.
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