Geodesic
The Unilateral Contact Problem for Two Plates One of them Containing a~Rigid Inclusion
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 87-98

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This paper deals with the unilateral contact problem for two elastic plates located at a given angle to each other. One of the plates contains a rigid inclusion and is deformed in its plane with the other one being vertically deformed. Assuming that the solution is smooth, the differential statement being equivalent to the variational formulation is justified. We analyse different configurations of the rigid inclusion. The problem with rigid inclusion is shown to be obtained as the limiting one of the family of elastic problems.
Keywords: contact problem, variational inequality, rigid inclusion, elastic plates. 
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     author = {T. A. Rotanova},
     title = {The {Unilateral} {Contact} {Problem} for {Two} {Plates} {One} of them {Containing} {a~Rigid} {Inclusion}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {87--98},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_1_a8/}
}
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T. A. Rotanova. The Unilateral Contact Problem for Two Plates One of them Containing a~Rigid Inclusion. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 87-98. http://geodesic.mathdoc.fr/item/VNGU_2011_11_1_a8/