Geodesic
Contact Problem for Elastic Bodies of Different Dimensions
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 60-75 
N. V. Neustroeva. Contact Problem for Elastic Bodies of Different Dimensions. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 60-75. http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a6/
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     title = {Contact {Problem} for {Elastic} {Bodies} of {Different} {Dimensions}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a variational problem describing a contact between an elastic plate and a thin elastic beam is investigated. It is assumed that the contact zone is a priori unknown and is to be defined. The given model is described by the energy functional minimization problem over a set of admissible displacements or by the equivalent variational inequality for the fourth order operator. Various formulations of problem and their equivalence are investigated. Boundary conditions, fulfilled on a set of possible contact and their exact interpretation are found.

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