Nonlinear Bending Analysis of Functionally Graded CNT-Reinforced Shallow Arches Placed on Elastic Foundations  

作　　者：Yuanyuan Zhang Bo Zhang Huoming Shen Yuxing Wang Xin Zhang Juan Liu 

机构地区：[1]School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 611756,China [2]Department of Mechanical Engineering,Northwestern University,Evanston,IL 60208,USA

出　　处：《Acta Mechanica Solida Sinica》2020年第2期164-186,共23页固体力学学报（英文版）

基　　金：This work is financially supported by the National Natural Science Foundation of China(Nos.1160220-1,11672252,11502218);the Fundamental Research Funds for the Central Universities,SWJTU(No.2682016CX096).

摘　　要：This research explores the nonlinear bending behaviors of functionally graded carbon nanotube-reinforced(FG-CNTR)shallow arches with unmovable simply supported ends and clarnped-clamped ends;these arches are subjected to a uniform radial pressure and rest on a nonlinear elastic foundation.The temperature-dependent material properties of the arches are considered.Within the framework of Reddy shear deformation theory possessing von Karman nonlinearity,the motion equations and boundary conditions for the FG-CNTR arches are determined by the Euler-Lagrange variational principle.Then,a two-step perturbation technique is adopted to determine the load-deflection relationship analytically.To verify the validity of the developed model and related perturbation solutions,a numerical investigation is conducted for shallow arches with five distribution patterns of carbon nanotube(CNT)reinforcements uniaxially aligned in the axial direction.Finally,the influences of various factors,including the elastic foundation,layout type,and volume fraction of CNTs and geometric factors,on the nonlinear behaviors of FG-CNTR shallow arches are examined.The obtained results show that the load deflection curves exhibit less snap-through instability as the CNT volume fraction increases.The transverse shear stress versus the thickness of FG-CNTR shallow arches is markedly affected by the layout type and content of reinforcements.

关 键 词：Nonlinear bending.Carbon nanotube-reinforced composites Shallow arches Two-step perturbation technique 

分 类 号：TB34[一般工业技术—材料科学与工程]