Geodesic
Fictitious domain method in the equilibrium problem for a Timoshenko-type plate contacting with a rigid obstacle
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 91-104 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we study the nonlinear equilibrium problem for the plate with the Signorini condition on the part of the boundary. We construct a family of auxiliary problems defined in an extended domain so that their solutions converge properly to a solution of the Signorini problem. Each problem of this family describes the equilibrium of the plate with a crack. On the curve defining the crack we impose a boundary condition of an inequality type describing the non-penetration of opposite crack edges. Equivalent differential formulation of the problems is found.
Keywords: Signorini boundary conditions, fictitious domain, mutual non-penetration condition, Timoshenko-type plate, crack. 
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N. P. Lazarev. Fictitious domain method in the equilibrium problem for a Timoshenko-type plate contacting with a rigid obstacle. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 91-104. http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a8/

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