An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core

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.

Author Details

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

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