[Grandes déflexions d’une poutre sandwich renforcée par des nanotubes de carbone agglomérés, partiellement encastrée sur une fondation]
Les grandes déflexions d’une poutre sandwich renforcée par des nanotubes de carbone (CNTs) partiellement encastrée sur une fondation de Pasternak sont étudiées en tenant compte de l’influence de l’agglomération des CNTs. La poutre sandwich est composée d’un noyau homogène et de couches externes composites, dont les modules effectifs sont estimés à l’aide du modèle d’Eshelby–Mori–Tanaka.
L’équation d’équilibre non linéaire est construite en utilisant un élément de poutre non linéaire déformable en cisaillement de premier ordre, puis résolue à l’aide d’une procédure itérative basée sur l’algorithme de Newton–Raphson.
Les résultats révèlent que l’effet de l’élancement sur les grandes déflexions dépend du degré d’agglomération des CNTs, et cet effet devient plus important lorsque le degré d’agglomération est élevé. Les influences de la fraction volumique des CNTs, du degré d’agglomération des CNTs et des paramètres de la fondation sur les grandes déflexions sont étudiées en détail. L’impact de la configuration sandwich et des porosités sur le comportement de la poutre sandwich est également examiné et discuté.
The large deflections of a carbon nanotubes (CNTs) reinforced sandwich cantilever beam partially embedded on Pasternak foundation are studied considering the influence of CNTs agglomeration. The sandwich beam is composed of a homogeneous core and composite face layers with effective moduli being estimated by Eshelby–Mori–Tanaka model. The nonlinear equilibrium equation is constructed using a first-order shear deformable nonlinear beam element and solved by the Newton–Raphson based iterative procedure. The result reveals that the effect of slenderness ratio on the large deflections is dependent on the degree of CNT agglomeration, and this effect is more significant when the agglomeration degree is more severe. The effects of the CNT volume fraction, the degree of CNTs agglomeration and the foundation parameters on the large deflections are studied in detail. The influence of the sandwich configuration and the porosities on the behavior of the sandwich beam is also examined and discussed.
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Mots-clés : Poutre sandwich, Nanotubes de carbone, Agglomération, Encastrement partiel dans une fondation, Grande déflexion
Thi Thu Hoai Bui 1, 2 ; Thi Thu Huong Tran 3 ; Vu Nam Pham 4 ; Dinh Kien Nguyen 5
CC-BY 4.0
@article{CRMECA_2025__353_G1_127_0,
author = {Thi Thu Hoai Bui and Thi Thu Huong Tran and Vu Nam Pham and Dinh~Kien~ Nguyen},
title = {Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation},
journal = {Comptes Rendus. M\'ecanique},
pages = {127--149},
publisher = {Acad\'emie des sciences, Paris},
volume = {353},
year = {2025},
doi = {10.5802/crmeca.274},
language = {en},
}
TY - JOUR AU - Thi Thu Hoai Bui AU - Thi Thu Huong Tran AU - Vu Nam Pham AU - Dinh Kien Nguyen TI - Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation JO - Comptes Rendus. Mécanique PY - 2025 SP - 127 EP - 149 VL - 353 PB - Académie des sciences, Paris DO - 10.5802/crmeca.274 LA - en ID - CRMECA_2025__353_G1_127_0 ER -
%0 Journal Article %A Thi Thu Hoai Bui %A Thi Thu Huong Tran %A Vu Nam Pham %A Dinh Kien Nguyen %T Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation %J Comptes Rendus. Mécanique %D 2025 %P 127-149 %V 353 %I Académie des sciences, Paris %R 10.5802/crmeca.274 %G en %F CRMECA_2025__353_G1_127_0
Thi Thu Hoai Bui; Thi Thu Huong Tran; Vu Nam Pham; Dinh Kien Nguyen. Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 127-149. doi : 10.5802/crmeca.274. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.274/
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