CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
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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 |
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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.
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Received: 13 January 2013
Revised: 20 March 2013
Accepted manuscript online:
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PACS:
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62.20.-x
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(Mechanical properties of solids)
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62.20.de
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(Elastic moduli)
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62.23.Hj
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(Nanowires)
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62.25.-g
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(Mechanical properties of nanoscale systems)
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Fund: 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). |
Corresponding Authors:
Yun Guo-Hong
E-mail: ndghyun@imu.edu.cn, ghyun@imnu.edu.cn
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Cite this article:
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 2013 Chin. Phys. B 22 106201
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[1] |
Wang Z L and Song J H 2006 Science 312 242
|
[2] |
Wang X Y, Kim K, Wang Y M, Stadermann M, Noy A, Hamza A V, Yang J H and Sirbuly D J 2010 Nano Lett. 10 4901
|
[3] |
Craighead H G 2000 Science 290 1532
|
[4] |
Bonard J M, Stockli T, Noury O and Chtelain A 2001 Appl. Phys. Lett. 78 2775
|
[5] |
Chen C Q, Shi Y, Zhu J and Yan Y J 2006 Phys. Rev. Lett. 96 075505
|
[6] |
Sadeghian H, Yang C K, Goosen J F L, van der Drift E, Bossche A, French P J and van Keulen F 2009 Appl. Phys. Lett. 94 221903
|
[7] |
Jing G Y, Duan H L, Sun X M, Zhang Z S, Xu J, Li Y D, Wang J X and Yu D P 2006 Phys. Rev. B 73 235409
|
[8] |
Guo J G and Zhao Y P 2005 J. Appl. Phys. 98 074306
|
[9] |
Fedorchenko A I, Wang A B and Cheng H H 2009 Appl. Phys. Lett. 94 152111
|
[10] |
Zhang L X and Huang H C 2006 Appl. Phys. Lett. 89 183111
|
[11] |
Sadeghian H, Goosen J F L, Bossche A, Thijsse B J and van Keulen F 2011 Thin Solid Films 520 391
|
[12] |
Lee B and Rudd R E 2007 Phys. Rev. B 75 041305
|
[13] |
Wang G F and Li X D 2007 Appl. Phys. Lett. 91 231912
|
[14] |
Sadeghian H, Goosen J F L, Bossche A and van Keulen F 2009 Appl. Phys. Lett. 94 231908
|
[15] |
Gavan K B, Westra H J R, van der Drift E W J M, Venstra W J and van der Zan H S J 2009 Appl. Phys. Lett. 94 233108
|
[16] |
Cao G X and Chen X 2007 Phys. Rev. B 76 165407
|
[17] |
Zheng X P, Cao Y P, Li B, Feng X Q and Wang G F 2010 Nanotechnology 21 205702
|
[18] |
Miller R E and Shenoy V B 2000 Nanotechnology 11 139
|
[19] |
Asthana A, Momeni K, Prasad A, Yap Y K and Yassar R S 2011 Nanotechnology 22 265712
|
[20] |
Zhang J H, Mao X L, Liu Q Q, Gu F, Li M, Liu H and Ge Y X 2012 Chin. Phys. B 21 086101
|
[21] |
Gurtin M E, Weissmüller J and Larché F 1998 Philos. Mag. A 78 1093
|
[22] |
Wang G F and Feng X Q 2007 Appl. Phys. Lett. 90 231904
|
[23] |
Liu J L, Xia R and Zhou Y T 2011 Chin. Phys. Lett. 28 116201
|
[24] |
Yao H Y, Yun G H, Bai N S and Li J G 2012 J. Appl. Phys. 111 083506
|
[25] |
Wang J, Xiao P, Zhou M, Wang Z R and Ke F J 2010 J. Appl. Phys. 107 023512
|
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