Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory

Farzad Ebrahimi; Mohammad Reza Barati

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Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory

机译：基于非局部应变梯度理论的准3D FG纳米束在热环境中的波传播分析

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This article examines the application of nonlocal strain gradient elasticity theory to wave dispersion behavior of a size-dependent functionally graded (FG) nanobeam in thermal environment. The theory contains two scale parameters corresponding to both nonlocal and strain gradient effects. A quasi-3D sinusoidal beam theory considering shear and normal deformations is employed to present the formulation. Mori-Tanaka micromechanical model is used to describe functionally graded material properties. Hamilton's principle is employed to obtain the governing equations of nanobeam accounting for thickness stretching effect. These equations are solved analytically to find the wave frequencies and phase velocities of the FG nanobeam. It is indicated that wave dispersion behavior of FG nanobeams is significantly affected by temperature rise, nonlocality, length scale parameter and material composition.

机译：本文研究了非局部应变梯度弹性理论在热环境中尺寸依赖的功能梯度（FG）纳米束的波色散行为中的应用。该理论包含两个与非局部和应变梯度效应相对应的尺度参数。考虑剪力和法向变形的准3D正弦梁理论用于提出该公式。 Mori-Tanaka微力学模型用于描述功能梯度材料的性能。利用汉密尔顿原理获得考虑厚度拉伸效应的纳米束的控制方程。通过解析求解这些方程式，以找到FG纳米束的波频率和相速度。结果表明，FG纳米束的波色散行为受温度升高，非局部性，长度尺度参数和材料组成的显着影响。

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来源
《Applied Physics》 |2016年第9期|843.1-843.15|共15页
作者
Farzad Ebrahimi; Mohammad Reza Barati;
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作者单位

Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran;

Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
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Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory

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