Geodesic
Rigid Switching on in the Contact Problem for Elastic Plates
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 92-105

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We consider a family of problems describing the contact of elastic plates located at a fixed angle to each other and, in the natural state, touching along a line. The plates are subjected only to bending. We study passage to the limit from elastic switching on to rigid switching on. We show that the limiting problems describe exactly the contact of an elastic plate with a rigid bar and the problem of the equilibrium of an elastic plate with rigid switching on. We establish the solvability of the problems, find the boundary conditions holding on the possible contact set and their precise interpretation.
Mots-clés : Kirghoff–Lyav model
Keywords: contact problem, rigid switching on. 
@article{SJIM_2009_12_4_a8,
     author = {N. V. Neustroeva},
     title = {Rigid {Switching} on in the {Contact} {Problem} for {Elastic} {Plates}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {92--105},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2009_12_4_a8/}
}
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N. V. Neustroeva. Rigid Switching on in the Contact Problem for Elastic Plates. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 92-105. http://geodesic.mathdoc.fr/item/SJIM_2009_12_4_a8/