An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core
Year: 2023
Author: Dang Thuy Dong, Nguyen Thi Phuong, Vu Hoai Nam, Le Ngoc Ly, Nguyen Van Tien, Vu Minh Duc, Tran Quang Minh, Vu Tho Hung, Nguyen Thi Huong Giang
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 2 : pp. 468–484
Abstract
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's thin shell theory with von Kármán geometrical nonlinearities. The three terms of deflection are considered, the Airy's stress function and Galerkin'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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2021-0201
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 2 : pp. 468–484
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Nonlinear postbuckling carbon nanotube reinforced composite cylindrical shell torsion auxetic core.