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

作　　者：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 

机构地区：[1]Faculty of Civil Engineering,University of Transport Technology,Hanoi 100000,Vietnam [2]Graduate School of Advanced Science and Engineering,Hiroshima University,1-4-1 Kagamiyama,Higashi-Hiroshima,Hiroshima 739-8527,Japan [3]Faculty of Fundamental Science for Engineering,University of Transport Technology,Hanoi 100000,Vietnam

出　　处：《Advances in Applied Mathematics and Mechanics》2023年第2期468-484,共17页应用数学与力学进展（英文）

基　　金：This research is funded by University of Transport Technology(UTT)under grant number DTTD2021-04.

摘　　要：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 Karman 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.

关 键 词：Nonlinear postbuckling carbon nanotube reinforced composite cylindrical shell torsion auxetic core 

分 类 号：O34[理学—固体力学]