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考虑表面效应的压电纳米线屈曲的铁木辛柯梁模型。

Timoshenko beam model for buckling of piezoelectric nanowires with surface effects.

作者信息

Samaei Arash Tourki, Bakhtiari Majid, Wang Gang-Feng

机构信息

Young Researchers Club, Chalous Branch, Islamic Azad University, Chalous, 46619/61367, Iran.

出版信息

Nanoscale Res Lett. 2012 Mar 27;7(1):201. doi: 10.1186/1556-276X-7-201.

DOI:10.1186/1556-276X-7-201
PMID:22453063
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3340296/
Abstract

This paper investigates the buckling behavior of piezoelectric nanowires under distributed transverse loading, within the framework of the Timoshenko beam theory, and in the presence of surface effects. Analytical relations are given for the critical force of axial buckling of nanowires by accounting for the effects of surface elasticity, residual surface tension, and transverse shear deformation. Through an example, it is shown that the critical electric potential of buckling depends on both the surface stresses and piezoelectricity. This study may be helpful in the characterization of the mechanical properties of nanowires and in the calibration of the nanowire-based force sensors.

摘要

本文在铁木辛柯梁理论框架内,考虑表面效应,研究了分布式横向载荷作用下压电纳米线的屈曲行为。通过考虑表面弹性、残余表面张力和横向剪切变形的影响,给出了纳米线轴向屈曲临界力的解析关系。通过一个例子表明,屈曲的临界电势取决于表面应力和压电性。本研究可能有助于纳米线力学性能的表征以及基于纳米线的力传感器的校准。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/c58da96ba71c/1556-276X-7-201-3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/e774df25e669/1556-276X-7-201-1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/33c990ac284d/1556-276X-7-201-2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/c58da96ba71c/1556-276X-7-201-3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/e774df25e669/1556-276X-7-201-1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/33c990ac284d/1556-276X-7-201-2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef7d/3340296/c58da96ba71c/1556-276X-7-201-3.jpg

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本文引用的文献

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Experimental-computational investigation of ZnO nanowires strength and fracture.实验-计算研究氧化锌纳米线的强度和断裂。
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Surface effect on the elastic behavior of static bending nanowires.表面对静态弯曲纳米线弹性行为的影响。
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