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Three-dimensional contact problems with friction for a composite elastic wedge

✍ Scribed by V.M. Aleksandrov; D.A. Pozharskii

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
342 KB
Volume
74
Category
Article
ISSN
0021-8928

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✦ Synopsis

Contact problems for a composite elastic wedge in the form of two joined wedge-shaped layers with different aperture angles joined by a sliding clamp, where the layer under the punch is incompressible, are studied in a three-dimensional formulation. Conditions for a sliding or rigid clamp or the absence of stresses are set up on one face of the composite wedge. The integral equations of the problems are derived taking account of the friction forces perpendicular to the edge of the wedge. The method of nonlinear boundary integral equations of the Hammerstein type is used when the contact area is unknown. A regular asymptotic solution is constructed for an elliptic contact area. By virtue of the incompressibility of the material of the layer in contact with the punch, this solution retains the well known root singularity in the boundary of the contact area when account is taken of friction.

πŸ“œ SIMILAR VOLUMES

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✍ D.A. Pozharskii πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 346 KB

Solutions of three-dimensional boundary-value problems of the theory of elasticity are given for a wedge, on one face of which a concentrated shearing force is applied, parallel to its edge, while the other face is stress-free or is in a state of rigid or sliding clamping. The solutions are obtained

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

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3-D Contact problems for elastic wedges
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✍ Michael Bach; Dmitri Pozharskii πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 229 KB

## Abstract 3‐D quasi‐static contact problems for elastic wedges with Coulomb friction are reduced to integral equations and integral inequalities with unknown contact normal pressures. To obtain these equations and inequalities, Green's functions for the wedges, where one face of the wedges is eit