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Contact problem of a pair of flat rectangular stamps resting on an elastic half-space. (English) Zbl 0855.73069

Summary: The problem of the impression of two symmetrical rectangular stamps with narrow rectangular bases into an elastic isotropic half-space under the effect of vertical forces is considered. An integral transform solution is developed to reduce the solution of the problem to a Fredholm integral equation of the second kind. An expression for the pressure on the contact areas is derived. Finally, numerical results are obtained and displayed graphically.

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
Full Text: DOI

References:

[1] Galin, L. A.: Contact problems of elasticity theory. Moscow: Gostekhteorizdat 1953.
[2] Borodachev, N. M.: Impression of a stamp with narrow rectangular base into elastic half-space. Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela,4 (1970).
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