An element-free based IMLS-Ritz method for buckling analysis of nanocomposite plates of polygonal planform

被引:55
作者
Zhang, L. W. [1 ,2 ]
机构
[1] Shanghai Jiao Tong Univ, Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China
[2] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Buckling; CNT; Nanocomposites; First-order shear deformation theory; Polygonal plates; IMLS-Ritz method; REINFORCED COMPOSITE PLATES; LARGE-DEFORMATION ANALYSIS; LARGE DEFLECTION ANALYSIS; FREE-VIBRATION ANALYSIS; FREE GALERKIN METHOD; SKEW PLATES; CYLINDRICAL PANELS; THERMAL ENVIRONMENTS; ELASTIC FOUNDATIONS; NONLINEAR-ANALYSIS;
D O I
10.1016/j.enganabound.2017.01.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The buckling behavior of nanocomposite plates of polygonal planform under in-plane loads is examined. The plate under consideration is reinforced by single-walled carbon nanotubes (CNTs). The governing eigenvalue equation to this problem is derived based on the first-order shear deformation plate theory (FSDT) with a set of element-free shape functions in approximating the two-dimensional displacement fields. To solve this eigenvalue equation, the element-free IMLS-Ritz method is employed to furnish the buckling solution. The convergence of the solution for the CNT-reinforced composite plates is examined. Comparison study is further carried out to validate the accuracy of the solution. A parametric study is performed by varying the CNT volume fraction, CNT distribution, plate thickness-to-apothem ratio and boundary conditions. This first known buckling solution may serve as benchmarks for future research.
引用
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页码:10 / 25
页数:16
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