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Volume 15, Issue 2
An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core

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

Adv. Appl. Math. Mech., 15 (2023), pp. 468-484.

Published online: 2022-12

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  • 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.

  • AMS Subject Headings

74K25, 74G60

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COPYRIGHT: © Global Science Press

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@Article{AAMM-15-468, author = {Dong , Dang ThuyPhuong , Nguyen ThiNam , Vu HoaiLy , Le NgocTien , Nguyen VanDuc , Vu MinhMinh , Tran QuangHung , Vu Tho and Giang , Nguyen Thi Huong}, title = {An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2022}, volume = {15}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0201}, url = {http://global-sci.org/intro/article_detail/aamm/21277.html} }
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 -

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.

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. (2022). An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core. Advances in Applied Mathematics and Mechanics. 15 (2). 468-484. doi:10.4208/aamm.OA-2021-0201
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