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The three-dimensional contact problem with friction for an elastic wedge

✍ Scribed by D.A. Pozharskii

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 346 KB
Volume: 72
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2008.11.001

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✦ Synopsis

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 using the method of integral transformations and the technique of reducing the boundary-value problem of the theory of elasticity to a Hilbert problem, as generalized by Vekua (functional equations with a shift of the argument when there are integral terms). Using these and previously obtained equations, quasi-static contact problems of the motion of a punch with friction at an arbitrary angle to the edge of the wedge are considered. In a similar way the contact area can move to the edge of a tooth in Novikov toothed gears. The method of non-linear boundary integral equations is used to investigate contact problems with an unknown contact area.

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