CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
Prev
Next
|
|
|
Elastic fields around a nanosized elliptichole in decagonal quasicrystals |
Li Lian-He (李联和)a b c, Yun Guo-Hong (云国宏)a b d |
a College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China; b Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China; c College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China; d College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China |
|
|
Abstract Based on the variational principle, a continuum theory of surface elasticity and new boundary conditions for quasicrystals is proposed. The effect of the residual surface stress on a decagonal quasicrystal that is weakened by a nanoscale elliptical hole is considered. The explicit expressions for the hoop stress along the edge of the hole are obtained using the Stroh formalism. The results show that the residual surface stress and the shape of the hole have a significant effect on the elastic state around the hole.
|
Received: 06 March 2014
Revised: 05 May 2013
Accepted manuscript online:
|
PACS:
|
61.44.Br
|
(Quasicrystals)
|
|
62.20.D-
|
(Elasticity)
|
|
02.30.Em
|
(Potential theory)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11072104, 1272053, and 11262017), the Key Project of the Chinese Ministry of Education (Grant No. 212029), the Inner Mongolia Natural Science Foundation, China (Grant No. 2013MS0114), the Natural Science Foundation of Inner Mongolia Department of Public Education, China (Grant No. NJZZ13037), Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region, China (Grant No. NJYT-13-B07), and Program of Higher-Level Talents of Inner Mongolia University, China (Grant No. 125125). |
Corresponding Authors:
Yun Guo-Hong
E-mail: ghyun@imnu.edu.cn
|
About author: 61.44.Br; 62.20.D-; 02.30.Em |
Cite this article:
Li Lian-He (李联和), Yun Guo-Hong (云国宏) Elastic fields around a nanosized elliptichole in decagonal quasicrystals 2014 Chin. Phys. B 23 106104
|
|
| [2] | Gurtin M E and Murdoch A I 1975 Arch. Ratl. Mech. Anal. 57 291
|
|
| [1] | Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Science 306 666
|
|
| [3] | Gurtin M E and Murdoch A I 1978 Int. J. Solids Struct. 14 431
|
|
| [2] | Zheng Y P, Wei N, Fan Z Y, Xu L Q and Huang Z G 2011 Nanotechnology 22 405701
|
|
| [3] | Zheng Y, Xu L, Fan Z, Wei N, Lu Y and Huang Z 2012 Current Nanoscience 8 89
|
|
| [4] | Pan X H,Yu S W and Feng X Q 2011 Sci. China: Phys. Mech. Astron. 54 564
|
|
| [4] | Xu L, Wei N, Zheng Y, Fan Z, Wang H and Zheng J 2012 J. Mater. Chem. 22 1435
|
|
| [5] | Song J Q, Shi X, Zhang W Q and Chen L D 2013 Physics 42 112 (in Chinese)
|
|
| [6] | Zhang G and Huang S Y 2013 Physics 42 100 (in Chinese)
|
|
| [7] | Zhou J and Li B W 2013 Physics 42 89 (in Chinese)
|
|
| [8] | Wu H Q, Linghu C Y, Lü H M and Qian H 2013 Chin. Phys. B 22 098106
|
|
| [9] | Balandin A A, Ghosh S, Bao W, Calizo I, Teweldebrhan D, Miao F and Lau C N 2008 Nano Lett. 8 902
|
|
| [10] | Seol J H, Jo I, Moore A L, Lindsay L, Aitken Z H, Pettes M T, Li X, Yao Z, Huang R, Broido D, et al. 2010 Science 328 213
|
|
| [5] | Wang X and Schiavone P 2013 Mech. Res. Comm. 52 57
|
|
| [6] | Hu C Z, Wang R and Ding D H 2000 Rep. Prog. Phys. 63 1
|
|
| [7] | Fan T Y 2010 Mathematical Theory of Elasticity of Quasicrystals and Application (New York: Springer)
|
|
| [11] | Ghosh S, Bao W, Nika D L, Subrina S, Pokatilov E P, Lau C N and Balandin A A 2010 Nat. Mater. 9 555
|
|
| [12] | Cai W, Moore A L, Zhu Y, Li X, Chen S, Shi L and Ruoff R S 2010 Nano Lett. 10 1645
|
|
| [8] | Li X F and Fan T Y 1998 Chin. Phys. Lett. 15 278
|
|
| [13] | Faugeras C, Faugeras B, Orlita M, Potemski M, Nair R R and Geim A K 2010 ACS Nano 4 1889
|
|
| [14] | Pettes M T, Jo I, Yao Z and Shi L 2011 Nano Lett. 11 1195
|
|
| [15] | Ghosh S, Calizo I, Teweldebrhan D, Pokatilov E P, Nika D L, Balandin A A, Bao W, Miao F and Lau C N 2008 Appl. Phys. Lett. 92 151911
|
|
| [16] | Kong B D, Paul S, Nardelli M B and Kim K W 2009 Phys. Rev. B 80 033406-4
|
|
| [9] | Wang J B, Gastaldi J and Wang R H 2001 Chin. Phys. Lett. 18 88
|
|
| [17] | Hu J, Ruan X and Chen Y P 2009 Nano Lett. 9 2730
|
|
| [18] | Evans W J, Hu L and Keblinski P 2010 Appl. Phys. Lett. 96 203112-3
|
|
| [10] | Guo R P, Liu G T and Fan T Y 2003 Chin. Phys. 12 1149
|
|
| [19] | Li W, Sevinçli H, Cuniberti G and Roche S 2010 Phys. Rev. B 82 041410-4
|
|
| [11] | Gao Y, Ricoeur A and Zhang L L 2011 Phys. Lett. A 375 2775
|
|
| [20] | Wei N, Xu L, Wang H and Zheng J C 2011 Nanotechnology 22 105705
|
|
| [12] | Li X Y and Li P D 2012 Phys. Lett. A 376 2004
|
|
| [13] | Li L H 2013 Complex Variable Function Method for Fracture Mechanics of Quasicrystals (Beijing: Science Press) (in Chinese)
|
|
| [21] | Balandin A A 2011 Nat. Mater. 10 569
|
|
| [14] | Xing L Q, Shen Y T and Kelton K F 2002 Appl. Phys. Lett. 81 3371
|
|
| [22] | Bagri A, Kim S P, Ruoff R S and Shenoy V B 2011 Nano Lett. 11 3917
|
|
| [15] | Saida J and Inoue A 2004 Scr. Mater. 50 1297
|
|
| [16] | Suc J B, Schreiber K M and Haussler P 2002 Quasicrystals: An Introduction to Structure, Physical Properties and Applications (New York: Springer)
|
|
| [23] | Haskins J, Kinaci A, Sevik C, Sevinçli H, Cuniberti G and Čağin T 2011 ACS Nano 5 3779
|
|
| [24] | Liang Q, Yao X, Wang W, Liu Y and Wong C P 2011 ACS Nano 5 2392
|
|
| [17] | Shen S P and Hu S L 2010 J. Mech. Phys. Solids 58 665
|
|
| [25] | Kim J Y, Lee J H and Grossman J C 2012 ACS Nano 6 9050
|
|
| [18] | Wang G F and Wang T J 2006 Appl. Phys. Lett. 89 161901
|
|
| [19] | Ting T C T 1996 Anisotropic Elasticity: Theory and Applications (New York: Oxford Science Publications)
|
|
| [26] | Sevik C, Sevinçli H, Cuniberti G and Čağin T 2011 Nano Lett. 11 4971
|
|
| [27] | Plimpton S 1995 J. Comput. Phys. 7 1
|
|
| [20] | Edagawa K and Takeuchi S 2007 Dislocation in Solids 13 365
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|