论文摘要
In this paper, multi-scale modeling for nanobeams with large deflection is conducted in the framework of the nonlocal strain gradient theory and the Euler-Bernoulli beam theory with exact bending curvature. The proposed size-dependent nonlinear beam model incorporates structure-foundation interaction along with two small scale parameters which describe the stiffness-softening and stiffness-hardening size effects of nanomaterials, respectively. By applying Hamilton’s principle, the motion equation and the associated boundary condition are derived. A two-step perturbation method is introduced to handle the deep postbuckling and nonlinear bending problems of nanobeams analytically. Afterwards, the influence of geometrical, material, and elastic foundation parameters on the nonlinear mechanical behaviors of nanobeams is discussed. Numerical results show that the stability and precision of the perturbation solutions can be guaranteed, and the two types of size effects become increasingly important as the slenderness ratio increases. Moreover, the in-plane conditions and the high-order nonlinear terms appearing in the bending curvature expression play an important role in the nonlinear behaviors of nanobeams as the maximum deflection increases.
论文目录
文章来源
类型: 期刊论文
作者: Bo ZHANG,Huoming SHEN,Juan LIU,Yuxing WANG,Yingrong ZHANG
来源: Applied Mathematics and Mechanics(English Edition) 2019年04期
年度: 2019
分类: 基础科学,工程科技Ⅰ辑
专业: 材料科学
单位: School of Mechanics and Engineering, Southwest Jiaotong University,Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province
基金: supported by the National Natural Science Foundation of China(Nos.11672252 and11602204),the Fundamental Research Funds for the Central Universities,Southwest Jiaotong University(No.2682016CX096)
分类号: TB383.1
页码: 515-548
总页数: 34
文件大小: 1037K
下载量: 6
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