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

被引：5

作者：

Lv, Ying ^{[1
,2
,3
]}

Zhang, Jing ^{[1
,2
,3
]}

Li, Lianhe ^{[1
,2
,3
]}

机构：

[1] Inner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China

[2] Ctr Appl Math Inner Mongolia, Hohhot 010022, Peoples R China

[3] Minist Educ, Key Lab Infinite dimens Hamiltonian Syst & Its Alg, Hohhot 010022, Peoples R China

来源：

HELIYON | 2023年 / 9卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Differential quadrature method; Functionally graded materials; Thermal buckling; Thermal postbuckling; Graphene platelet; FREE-VIBRATION ANALYSES; NANOCOMPOSITE BEAMS; FGM PLATES; OPTIMIZATION;

D O I：

10.1016/j.heliyon.2023.e19549

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：17

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