Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect

doi:10.1088/1674-1056/22/10/106201

中国物理B ›› 2013, Vol. 22 ›› Issue (10): 106201-106201.doi: 10.1088/1674-1056/22/10/106201

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect

姚海燕^{a c}, 云国宏^{b c d}, 范文亮^a

a College of Ordos, Inner Mongolia University, Ordos 017000, China;
b College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
c Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China;
d College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China

收稿日期:2013-01-13 修回日期:2013-03-20 出版日期:2013-08-30 发布日期:2013-08-30
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11072104) and the Scientific Research Program for Higher Schools of Inner Mongolia (Grant No. NJZY13013).

Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect

Yao Hai-Yan (姚海燕)^{a c}, Yun Guo-Hong (云国宏)^{b c d}, Fan Wen-Liang (范文亮)^a

a College of Ordos, Inner Mongolia University, Ordos 017000, China;
b College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
c Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China;
d College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China

Received:2013-01-13 Revised:2013-03-20 Online:2013-08-30 Published:2013-08-30
Contact: Yun Guo-Hong E-mail:ndghyun@imu.edu.cn, ghyun@imnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11072104) and the Scientific Research Program for Higher Schools of Inner Mongolia (Grant No. NJZY13013).

摘要/Abstract

摘要： The size-dependent elastic property of rectangular nanobeams (nanowires or nanoplates) induced by the surface elasticity effect is investigated by using a developed modified core-shell model. The effect of surface elasticity on the elastic modulus of nanobeams can be characterized by two surface related parameters, i.e., inhomogeneous degree constant and surface layer thickness. The analytical results show that the elastic modulus of the rectangular nanobeam exhibits a distinct size effect when its characteristic size reduces below 100 nm. It is also found that the theoretical results calculated by a modified core-shell model have more obvious advantages than those by other models (core-shell model and core-surface model) by comparing them with relevant experimental measurements and computational results, especially when the dimensions of nanostructures reduce to a few tens of nanometers.

关键词: size effects, elastic modulus, nanobeams, surface elasticity

Abstract: The size-dependent elastic property of rectangular nanobeams (nanowires or nanoplates) induced by the surface elasticity effect is investigated by using a developed modified core-shell model. The effect of surface elasticity on the elastic modulus of nanobeams can be characterized by two surface related parameters, i.e., inhomogeneous degree constant and surface layer thickness. The analytical results show that the elastic modulus of the rectangular nanobeam exhibits a distinct size effect when its characteristic size reduces below 100 nm. It is also found that the theoretical results calculated by a modified core-shell model have more obvious advantages than those by other models (core-shell model and core-surface model) by comparing them with relevant experimental measurements and computational results, especially when the dimensions of nanostructures reduce to a few tens of nanometers.

Key words: size effects, elastic modulus, nanobeams, surface elasticity

中图分类号: (Mechanical properties of solids)

62.20.-x

62.20.de (Elastic moduli) 62.23.Hj (Nanowires) 62.25.-g (Mechanical properties of nanoscale systems)

姚海燕, 云国宏, 范文亮. Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect[J]. 中国物理B, 2013, 22(10): 106201-106201.

Yao Hai-Yan (姚海燕), Yun Guo-Hong (云国宏), Fan Wen-Liang (范文亮). Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect[J]. Chin. Phys. B, 2013, 22(10): 106201-106201.

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Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect

Size effect of the elastic modulus of rectangular nanobeams：Surface elasticity effect

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