WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 14, 2019
About Self-Similar Solution of Elastic Contact Problem
Authors: ,
Abstract: Using equations of the static theory of elasticity, the problem of calculation stress distribution inside cylindrical solid at its point contact with semi-infinite elastic medium solved. For the displacement vector of the media u = (ur(r,z),0,uz(r,z)), where ur−radial deformations, uz−longitudinal strain of the cylinder, the system of two linear equations in partial derivatives in cylindrical coordinate system was obtained. The problem was solved in the stationarity case when the times of δt exceed of the contact time τ. It is shown that the both functions ur(r,z) and uz(r,z) obey the equations of the third-order which accept an existence of physically correct self-similar solutions. The numerical solutions of the equations for the different boundary conditions found.
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Pages: 41-55
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 14, 2019, Art. #5