Geodesic
On contact of thin obstacle and plate, containing thin inclusion
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 4, pp. 94-111

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In this paper, we consider problems describing a contact between an elastic plate and a thin elastic obstacle. The plate has a thin elastic inclusion. Under study is equilibrium problems for the plate both with the presence or absence of a cut. Different equivalent formulations of these problems are proposed, and existence of solutions is proved. We investigate a convergence to infinity of a rigidity parameter of the elastic inclusion. Formulations of the limit problem are analyzed.
Keywords: plate, thin obstacle, thin inclusion, rigid inclusion, beam, bend, delamination, variational inequality, minimization problem, contact problem, crack. 
A. I. Furtsev. On contact of thin obstacle and plate, containing thin inclusion. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 4, pp. 94-111. http://geodesic.mathdoc.fr/item/VNGU_2017_17_4_a8/
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