TY - JOUR
T1 - An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core
AU - Dong , Dang Thuy
AU - Phuong , Nguyen Thi
AU - Nam , Vu Hoai
AU - Ly , Le Ngoc
AU - Tien , Nguyen Van
AU - Duc , Vu Minh
AU - Minh , Tran Quang
AU - Hung , Vu Tho
AU - Giang , Nguyen Thi Huong
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 468
EP - 484
PY - 2022
DA - 2022/12
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0201
UR - https://global-sci.org/intro/article_detail/aamm/21277.html
KW - Nonlinear postbuckling, carbon nanotube reinforced composite, cylindrical shell, torsion, auxetic core.
AB - <p style="text-align: justify;">The main aim of this paper is to present an analytical approach on the postbuckling for torsionally loaded sandwich carbon nanotube (CNT) reinforced cylindrical shells with the auxetic core. The considered shells consist of three layers, external
and internal CNT reinforced layers, and the auxetic lattice core made by isotropic material. The homogenization model for honeycomb auxetic lattice core is utilized, and
the equilibrium equations are formulated based on the nonlinear Donnell&#39;s thin shell
theory with von K<span style="text-align: justify;">á</span>rmán geometrical nonlinearities. The three terms of deflection are considered, the Airy&#39;s stress function and Galerkin&#39;s method are utilized, the explicit
expression of critical buckling of torsionally loaded shells and load-deflection expression of postbuckling states are achieved. The effects of two carbon nanotube reinforced
layers, the auxetic core layer, the volume fraction of carbon nanotube on the torsional
buckling behavior are examined and remarked.</p>