On snap-buckling of FG-CNTR curved nanobeams
considering surface effects
Yuan Yuan Zhang,Yu X. Wang,Xin Zhang,Huo M. Shen,Gui-Lin She
Abstract
The aim of this paper is to analyze the nonlinear bending of functionally graded (FG) curved nanobeams reinforced by carbon nanotubes (CNTs) in thermal environment. Chen-Yao' s surface elastic theory and geometric nonlinearity are also considered. The nanobeams are subjected to uniform loadings and placed on three-parameter substrates. The Euler-Lagrange equations are employed to deduce the equations of equilibrium. Then, the asymptotic solutions and boundary value problems are analytically determined by utilizing the two-step perturbation technique. Finally, the effects of the surface parameters, geometric factors, foundation stiffness, volume fraction, thermal effects and layout type of CNTs on the nonlinear bending of the nanobeams are discussed.
Yuan Yuan Zhang, Yu X. Wang and Huo M. Shen: School of Mechanics and Engineering, Southwest Jiaotong University, China
Xin Zhang:Department of Mechanical Engineering, Northwestern University, USA
Gui-Lin She: School of mechanical engineering, Chongqing University, Chongqing 400044, China
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