Analytical Prediction for Nonlinear Buckling of Elastically Supported FG-GPLRC Arches under a Central Point Load

被引:28
作者
Yang, Zhicheng [1 ]
Liu, Airong [2 ]
Yang, Jie [3 ]
Lai, Siu-Kai [4 ,5 ]
Lv, Jiangen [1 ]
Fu, Jiyang [2 ]
机构
[1] Zhongkai Univ Agr & Engn, Coll Urban & Rural Construct, Guangzhou 510225, Peoples R China
[2] Guangzhou Univ, Wind & Vibrat Engn Res Ctr, Guangzhou 510006, Peoples R China
[3] RMIT Univ, Sch Engn, POB 71, Bundoora, Vic 3083, Australia
[4] Hong Kong Polytech Univ, Dept Civil & Environm Engn, Kowloon, Hong Kong, Peoples R China
[5] Hong Kong Polytech Univ, Natl Rail Transit Electrificat & Automat Engn Tec, Hong Kong Branch, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金; 澳大利亚研究理事会;
关键词
limit point buckling; bifurcation buckling; elastically supported FG-GPLRC arch; analytical solutions; FUNCTIONALLY GRADED MATERIALS; REINFORCED COMPOSITE ARCHES; INPLANE STABILITY ANALYSIS; CIRCULAR SHALLOW ARCHES; MECHANICAL-PROPERTIES; GRAPHENE; BEAMS; VIBRATION; INSTABILITY; FOUNDATION;
D O I
10.3390/ma14082026
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this paper, we present an analytical prediction for nonlinear buckling of elastically supported functionally graded graphene platelet reinforced composite (FG-GPLRC) arches with asymmetrically distributed graphene platelets (GPLs). The effective material properties of the FG-GPLRC arch are formulated by the modified Halpin-Tsai micromechanical model. By using the principle of virtual work, analytical solutions are derived for the limit point buckling and bifurcation buckling of the FG-GPLRC arch subjected to a central point load (CPL). Subsequently, the buckling mode switching phenomenon of the FG-GPLRC arch is presented and discussed. We found that the buckling modes of the FG-GPLRC arch are governed by the GPL distribution pattern, rotational restraint stiffness, and arch geometry. In addition, the number of limit points in the nonlinear equilibrium path of the FG-GPLRC arch under a CPL can be determined according to the bounds of successive inflexion points. The effects of GPL distribution patterns, weight fractions, and geometric configurations on the nonlinear buckling behavior of elastically supported FG-GPLRC arches are also comprehensively discussed.
引用
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页数:14
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