On contact of thin obstacle and plate, containing thin inclusion

A. I. Furtsev

Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 4, pp. 94-111

Résumé

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.

Détail

Keywords: plate, thin obstacle, thin inclusion, rigid inclusion, beam, bend, delamination, variational inequality, minimization problem, contact problem, crack.

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