Comptes Rendus
no. 12
A folded plate clamped along one side only
[Une plaque pliée encastrée d'un côté seulement]
Serguei A. Nazarov1, 2 ; Andrey S. Slutskij1, 2 
1 St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
2 Institute of Problems of Mechanical Engineering RAS, V.O., Bolshoi pr., 61, 199178, St. Petersburg, Russia
Comptes Rendus. Mécanique, Volume 345 (2017) no. 12, pp. 903-907.

On considère un modèle asymptotique de plaque mince élastique pliée reposant sur deux domaines plans et mettant en jeu des conditions de transmission à l'interface entre les deux domaines. Ces conditions deviennent non locales et inhomogènes lorsqu'un seul bord de la plaque est encastré. On fournit des résultats concernant le caractère bien posé du problème, on établit des résultats de régularité des solutions, et on prouve des estimations d'erreur pour le problème modèle.

An asymptotic model of a folded thin elastic plate is posed on two plane domains and contains transmission conditions at the common line segment of their boundaries. These conditions become non-local and inhomogeneous if only one side of the plate is fixed. Solvability and smoothness results and error estimates for the model are derived.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2017.07.003
Keywords: Folded thin elastic plate, Asymptotic model, Non-local transmission conditions
Mot clés : Plaque mince élastique pliée, Modèle asymptotique, Conditions de transmission non locales
Serguei A. Nazarov 1, 2 ; Andrey S. Slutskij 1, 2

1 St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia
2 Institute of Problems of Mechanical Engineering RAS, V.O., Bolshoi pr., 61, 199178, St. Petersburg, Russia 
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Serguei A. Nazarov; Andrey S. Slutskij. A folded plate clamped along one side only. Comptes Rendus. Mécanique, Volume 345 (2017) no. 12, pp. 903-907. doi : 10.1016/j.crme.2017.07.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.07.003/

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☆ The work is supported by the Russian Scientific Foundation, grant No. 17-11-01003.

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