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

共 50 条

[41] Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates
Wu, Helong
Kitipornchai, Sritawat
Yang, Jie
MATERIALS & DESIGN, 2017, 132 : 430 - 441
[42] Nonlinear thermal postbuckling of functionally graded graphene-reinforced composite laminated plates with circular or elliptical delamination
Nikrad, S. F.
Chen, Z. T.
Akbarzadeh, A. H.
ACTA MECHANICA, 2023, 234 (12) : 5999 - 6039
[43] Nonlinear thermal postbuckling of functionally graded graphene-reinforced composite laminated plates with circular or elliptical delamination
S. F. Nikrad
Z. T. Chen
A. H. Akbarzadeh
Acta Mechanica, 2023, 234 : 5999 - 6039
[44] Eigenvalue buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPL)
Wang, Yu
Feng, Chuang
Zhao, Zhan
Yang, Jie
COMPOSITE STRUCTURES, 2018, 202 : 38 - 46
[45] Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations
Nguyen Dinh Duc
Hoang Van Tung
COMPOSITE STRUCTURES, 2011, 93 (11) : 2874 - 2881
[46] INITIAL POSTBUCKLING BEHAVIOR OF BEAMS ON NONLINEAR ELASTIC FOUNDATIONS
WAAS, AM
MECHANICS RESEARCH COMMUNICATIONS, 1990, 17 (04) : 239 - 248
[47] Free vibration and buckling analyses of edge-cracked functionally graded multilayer graphene nanoplatelet-reinforced composite beams resting on an elastic foundation
Song, Mitao
Gong, Yuhao
Yang, Jie
Zhu, Weidong
Kitipornchai, Sritawat
JOURNAL OF SOUND AND VIBRATION, 2019, 458 : 89 - 108
[48] Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets
Kitipornchai, Sritawat
Chen, Da
Yang, Jie
MATERIALS & DESIGN, 2017, 116 : 656 - 665
[49] Imperfection sensitivity of postbuckling behaviour of functionally graded carbon nanotube-reinforced composite beams
Wu, H. L.
Yang, J.
Kitipornchai, S.
THIN-WALLED STRUCTURES, 2016, 108 : 225 - 233
[50] Thermal post-buckling and primary resonance of porous functionally graded beams: Effect of elastic foundations and geometric imperfection
Xu, Jia-Qin
She, Gui-Lin
COMPUTERS AND CONCRETE, 2023, 32 (06): : 543 - 551

← 1 2 3 4 5 →