Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method
Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method
复制标题
无元素kp-Ritz法分析功能梯度碳纳米管增强复合材料板的大挠度
DOI：
10.1016/j.cma.2012.12.007
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发表时间：
2013-04
影响因子：
7.2
通讯作者：
J.L. Yu
中科院分区：
文献类型：
--
作者：
Z.X. Lei;Liew K.M.;J.L. Yu
采用无单元kp-Ritz法对功能梯度碳纳米管增强复合材料（FG-CNTRC）板进行非线性分析。基于一阶剪切变形板理论和vonKármán应变，建立了小应变、中等转动条件下的非线性控制方程。板的二维位移场由一组无网格核质点函数近似。单壁碳纳米管（SWCNTs）被选为增强和FG-CNTRC板的有效材料性能被假定为通过厚度方向分级，并通过基于Eshelby-Mori-Tanaka方法的等效连续模型进行估计。为了消除薄板的剪切闭锁，采用稳定协调节点积分法计算系统的抗弯刚度，膜项和剪切项采用直接节点积分法计算。数值模拟研究了各种参数对FG-CNTRC板非线性行为的影响，并与均匀分布（UD）CNTRC板的结果进行了比较。数值结果表明，碳纳米管体积含量、板的宽厚比、板的长宽比和边界条件对碳纳米管增强混凝土板的非线性响应有显著影响。
A nonlinear analysis is presented for functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates using the element-free kp-Ritz method. The nonlinear governing equations are developed to investigate problems related to small strains and moderate rotations, based on the first-order shear deformation plate theory and von Kármán strains. Two-dimensional displacement fields of the plates are approximated by a set of mesh-free kernel particle functions. Single-walled carbon nanotubes (SWCNTs) are selected as reinforcement and effective material properties of FG-CNTRC plates are assumed to be graded through the thickness direction and are estimated through an equivalent continuum model based on the Eshelby–Mori–Tanaka approach. For eliminating shear locking for a very thin plate, a stabilized conforming nodal integration scheme is employed to evaluate the system bending stiffness, and the membrane as well as shear terms are calculated by the direct nodal integration method. Numerical simulations are carried out to investigate effects of various parameters on nonlinear behaviors of FG-CNTRC plates and results for uniformly distributed (UD) CNTRC plates are provided for comparison. Numerical results indicate that carbon nanotube content by volume, plate width-to-thickness ratio, plate aspect ratio and boundary condition have pronounced effects on the nonlinear response of CNTRC plates.
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影响因子：
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作者：
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通讯作者：
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DOI：
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