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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011 Number 3(15), Pages 99–107 (Mi vtgu212)

This article is cited in 6 papers

MECHANICS

Contact problem for plates with rigid inclusions intersecting the boundary

T. A. Rotanova

Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences

Abstract: This paper deals with the unilateral contact problem for two elastic plates located at an angle to each other. Both plates contain rigid inclusions intersecting the contact area. The rigid inclusion in the top plate intersects also its external boundary. The lower plate is deformed in its plane with the top plate being vertically deformed. Using a variational method the solvability of the problem is established. Assuming that the solution is sufficiently smooth, the differential statement being equivalent to the variational formulation is justified. We analyze the limit case corresponding to the unbounded increase of the bending rigidity of the top plate.

Keywords: variational inequality, rigid inclusion, Kirchhoff–Love plate, contact problem, boundary intersection.

UDC: 517.95

Received: 18.01.2011



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