Three-dimensional contact problems for an elastic wedge with a coating

Three-dimensional contact problems for an elastic wedge with a coating

Three-dimensional contact problems for an elastic wedge, one face of which is reinforced with a Winkler-type coating with different boundary conditions on the other face of the wedge, are investigated. A power-law dependence of the normal displacement of the coating on the pressure is assumed. The c...

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Veröffentlicht in:Journal of applied mathematics and mechanics 2008, Vol.72 (1), p.62-65
Hauptverfasser: Aleksandrov, V.M., Pozharskii, D.A.
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Sprache:eng
Schlagworte:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mechanical contact (friction...)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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container_title Journal of applied mathematics and mechanics
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creator Aleksandrov, V.M.
Pozharskii, D.A.
description Three-dimensional contact problems for an elastic wedge, one face of which is reinforced with a Winkler-type coating with different boundary conditions on the other face of the wedge, are investigated. A power-law dependence of the normal displacement of the coating on the pressure is assumed. The contact area, the pressure in this region, and the relation between the force and the indentation of a punch are determined using the method of non-linear boundary integral equations and the method of successive approximations. The results of calculations are analysed for different values of the aperture angle of the wedge, the relative distance of the punch from the edge of the wedge, the ratio of the radii of curvature of the punch (an elliptic paraboloid), and the non-linearity factors of the coating. The results obtained are compared with the solutions of similar problems for a wedge without a coating.
doi_str_mv 10.1016/j.jappmathmech.2008.03.015
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mechanical contact (friction...)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
title Three-dimensional contact problems for an elastic wedge with a coating
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