Thermal Buckling Behavior of Nanobeams Using an Efficient Higher-Order Nonlocal Beam Theory
Thermal Buckling Behavior of Nanobeams Using an Efficient Higher-Order Nonlocal Beam Theory
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DOI：
10.1061/(asce)nm.2153-5477.0000057
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
A. Tounsi;A. Semmah;A. A. Bousahla-A.
中科院分区：
文献类型：
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作者：
A. Tounsi;A. Semmah;A. A. Bousahla-A.
摘要本文提出了一种有效的高阶非局部梁理论用于纳米梁的热屈曲。位移场的选择是基于假设的面内和横向位移包括弯曲和剪切分量，和面内位移的剪切分量引起的剪切应变的抛物线变化通过厚度的方式，剪切应力消失在纳米梁表面上。因此，不需要使用剪切修正系数。该模型能够同时考虑纳米梁的小尺度效应和横向剪切变形效应，在运动方程、边界条件和应力合成表达式等方面与非局部Euler-Bernoulli梁理论有很强的相似性.利用非线性应变-位移关系，推导了纳米梁的平衡方程和稳定性方程。本文所介绍的理论发展可作为研究非局部理论的参考。
AbstractThis paper presents an efficient higher-order nonlocal beam theory for the thermal buckling of nanobeams. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the parabolic variation of shear strain through the thickness in such a way that shear stress vanishes on the nanobeam surfaces. Therefore, there is no need to use a shear correction factor. The present model is capable of capturing both the small-scale effect and transverse shear deformation effects of nanobeams, and it has strong similarities with the nonlocal Euler–Bernoulli beam theory in aspects such as equations of motion, boundary conditions, and stress resultant expressions. Using the nonlinear strain–displacement relations, the equilibrium and stability equations of nanobeams are derived. The theoretical development presented herein may serve as a reference for nonlocal theories as ...