Geodesic
Unilateral Contact of Elastic Plates to Rigid Inclusion
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 51-64

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In this paper the contact problem describing equilibrium of the elastic plates is considered (model Kirchhof–Love). The plates are located at a given angle to each other, are contacted along the line. The lower plate contains a rigid inclusion. Solubility of the state problem is established, and equivalence of two statements is proved. Boundary conditions fulfilled on the set of possible contact are found. It is established that the problem is a limiting one for a family of problems with an elastic inclusion when the parameter of a stiffness goes to infinity.
Keywords: contact problem, Kirchhoff–Love model, rigid inclusion. 
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     author = {N. V. Neustroeva},
     title = {Unilateral {Contact} of {Elastic} {Plates} to {Rigid} {Inclusion}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {51--64},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a5/}
}
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N. V. Neustroeva. Unilateral Contact of Elastic Plates to Rigid Inclusion. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 51-64. http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a5/