[Sur la jonction des plaques et des poutres élastiques]
On considère le système linéarisé de l'élasticité, dans un multidomaine de constitué d'une plaque horizontale de section fixée et de faible épaisseur ε et d'une poutre verticale de hauteur fixée et de petite section dont le rayon est rε. La frontière latérale de la plaque et le haut de la poutre sont supposés encastrés. Nous identifions le problème limite quand ε et rε tendent simultanément vers zéro, avec rε⪢ε2. Ce problème limite fait intervenir six conditions de jonction.
We consider the linearized elasticity system in a multidomain of . This multidomain is the union of a horizontal plate with fixed cross section and small thickness ε, and of a vertical beam with fixed height and small cross section of radius rε. The lateral boundary of the plate and the top of the beam are assumed to be clamped. When ε and rε tend to zero simultaneously, with rε⪢ε2, we identify the limit problem. This limit problem involves six junction conditions.
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@article{CRMATH_2002__335_8_717_0,
author = {Antonio Gaudiello and R\'egis Monneau and Jacqueline Mossino and Fran\c{c}ois Murat and Ali Sili},
title = {On the junction of elastic plates and beams},
journal = {Comptes Rendus. Math\'ematique},
pages = {717--722},
publisher = {Elsevier},
volume = {335},
number = {8},
year = {2002},
doi = {10.1016/S1631-073X(02)02543-8},
language = {en},
}
TY - JOUR AU - Antonio Gaudiello AU - Régis Monneau AU - Jacqueline Mossino AU - François Murat AU - Ali Sili TI - On the junction of elastic plates and beams JO - Comptes Rendus. Mathématique PY - 2002 SP - 717 EP - 722 VL - 335 IS - 8 PB - Elsevier DO - 10.1016/S1631-073X(02)02543-8 LA - en ID - CRMATH_2002__335_8_717_0 ER -
Antonio Gaudiello; Régis Monneau; Jacqueline Mossino; François Murat; Ali Sili. On the junction of elastic plates and beams. Comptes Rendus. Mathématique, Volume 335 (2002) no. 8, pp. 717-722. doi : 10.1016/S1631-073X(02)02543-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02543-8/
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