Nonlinear dynamic instability of edge-cracked functionally graded graphene-reinforced composite beams

被引：0
|
作者：
Mitao Song
Lei Zhou
Warna Karunasena
Jie Yang
Sritawat Kitipornchai
机构：
[1] Jiangsu University,Faculty of Civil Engineering and Mechanics
[2] University of Southern Queensland,Centre for Future Materials, School of Civil Engineering and Surveying
[3] RMIT University,School of Engineering
[4] The University of Queensland,School of Civil Engineering
来源：
Nonlinear Dynamics | 2022年 / 109卷
关键词：
Graphene-based nanocomposites; Functionally graded materials; Crack; Dynamic instability; Ritz method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work investigates nonlinear dynamic instability of edge-cracked functionally graded (FG) graphene nanoplatelet (GNP)-reinforced composite (GNPRC) beams consist of perfectly bonded layers. GNPs with randomly orientations are uniformly dispersed in each individual layer, and GNP concentration varies along beam thickness. Micromechanics models are employed to estimate the effective material properties of the GNPRCs. Considering von Kármán-type nonlinear kinematics, nonlinear ordinary differential equations governing the motions are derived by using Lagrange equation together with Ritz method on the basis of a rotational spring model and the first-order shear deformation theory. The eigenvalue equation is derived using the Bolotin’s method and solved through an iteration procedure to determine the unstable region. Numerical analysis is conducted to study the effects of geometric nonlinearity and crack on the dynamic instability of FG-GNPRC beams in different situations.
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页码：2423 / 2441
页数：18
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