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非线性弹性地基上功能梯度多层GPL增强复合材料梁的热屈曲和后屈曲

Thermal buckling and postbuckling of functionally graded multilayer GPL-reinforced composite beams on nonlinear elastic foundations.

作者信息

Lv Ying, Zhang Jing, Li Lianhe

机构信息

Mathematics Science College, Inner Mongolia Normal University, Hohhot, 010022, China.

Center for Applied Mathematics Inner Mongolia, Hohhot, 010022, China.

出版信息

Heliyon. 2023 Aug 28;9(9):e19549. doi: 10.1016/j.heliyon.2023.e19549. eCollection 2023 Sep.

DOI:10.1016/j.heliyon.2023.e19549
PMID:37809598
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10558789/
Abstract

Under the influence of axial forces and uniform temperature variations, the thermal buckling and postbuckling of composite beams reinforced of functionally graded multilayer graphene platelets (GPLs) resting on nonlinear elastic foundations are examined. The Halpin-Tsai model is used to calculate the elastic modulus of each layer of GPL-reinforced composite (GPLRC). According to the virtual work principle, the nonlinear governing equations for the beam are obtained from the first-order shear deformation beam theory. The impact of axial force and nonlinear elastic foundation on thermal buckling and postbuckling is discussed using the differential quadrature method (DQM), and the analytical expression is given by the two-step perturbation method (TSPM). The effects of axial force, boundary conditions, slenderness ratio, GPL geometry, GPL weight fraction, GPL distribution pattern, and elastic foundation coefficient on thermal buckling and postbuckling are examined through parameter analysis.

摘要

研究了在轴向力和均匀温度变化影响下，置于非线性弹性基础上的功能梯度多层石墨烯片（GPL）增强复合材料梁的热屈曲和后屈曲问题。采用Halpin-Tsai模型计算GPL增强复合材料（GPLRC）各层的弹性模量。根据虚功原理，由一阶剪切变形梁理论得到梁的非线性控制方程。利用微分求积法（DQM）讨论轴向力和非线性弹性基础对热屈曲和后屈曲的影响，并通过两步摄动法（TSPM）给出解析表达式。通过参数分析，研究了轴向力、边界条件、长细比、GPL几何形状、GPL重量分数、GPL分布模式和弹性基础系数对热屈曲和后屈曲的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/28efa649ca16/gr16.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/a20bd0492ed6/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/82980ac85941/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/4e3fd093d288/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/82704fed6fbc/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/b31388f5d244/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/07e9933dce59/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/5ee5a66d9cf1/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/52417a8ce99a/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/54f4362409e6/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/4e3a7e3e4b85/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/ecfb295f6c83/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/f01eeea2b106/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/09bdd96d017d/gr13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/96d5ebd9984b/gr14.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/e5ebd4c6ac41/gr15.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/28efa649ca16/gr16.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/a20bd0492ed6/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/82980ac85941/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/4e3fd093d288/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/82704fed6fbc/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/b31388f5d244/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/07e9933dce59/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/5ee5a66d9cf1/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/52417a8ce99a/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/54f4362409e6/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/4e3a7e3e4b85/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/ecfb295f6c83/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/f01eeea2b106/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/09bdd96d017d/gr13.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/96d5ebd9984b/gr14.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/e5ebd4c6ac41/gr15.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6568/10558789/28efa649ca16/gr16.jpg

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