Elastic fields around a nanosized elliptichole in decagonal quasicrystals

doi:10.1088/1674-1056/23/10/106104

›› 2014, Vol. 23 ›› Issue (10): 106104-106104.doi: 10.1088/1674-1056/23/10/106104

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

Elastic fields around a nanosized elliptichole in decagonal quasicrystals

李联和^{a b c}, 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

收稿日期:2014-03-06 修回日期:2013-05-05 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
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).

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

Received:2014-03-06 Revised:2013-05-05 Online:2014-10-15 Published:2014-10-15
Contact: Yun Guo-Hong E-mail:ghyun@imnu.edu.cn
About author:61.44.Br; 62.20.D-; 02.30.Em
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quasicrystal, surface elasticity, Stroh formulism, variational method

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.

Key words: quasicrystal, surface elasticity, Stroh formulism, variational method

中图分类号: (Quasicrystals)

61.44.Br

62.20.D- (Elasticity) 02.30.Em (Potential theory)

李联和, 云国宏. Elastic fields around a nanosized elliptichole in decagonal quasicrystals[J]. , 2014, 23(10): 106104-106104.

Li Lian-He (李联和), Yun Guo-Hong (云国宏). Elastic fields around a nanosized elliptichole in decagonal quasicrystals[J]. Chin. Phys. B, 2014, 23(10): 106104-106104.

参考文献 0


[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 doi: 10.1126/science.1102896

[3]	Gurtin M E and Murdoch A I 1978 Int. J. Solids Struct. 14 431 doi: 10.1016/0020-7683(78)90008-2

[2]	Zheng Y P, Wei N, Fan Z Y, Xu L Q and Huang Z G 2011 Nanotechnology 22 405701 doi: 10.1088/0957-4484/22/40/405701

[3]	Zheng Y, Xu L, Fan Z, Wei N, Lu Y and Huang Z 2012 Current Nanoscience 8 89 doi: 10.2174/1573413711208010089

[4]	Pan X H,Yu S W and Feng X Q 2011 Sci. China: Phys. Mech. Astron. 54 564 doi: 10.1007/s11433-011-4275-3

[4]	Xu L, Wei N, Zheng Y, Fan Z, Wang H and Zheng J 2012 J. Mater. Chem. 22 1435 doi: 10.1039/c1jm13799a

[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 doi: 10.1021/nl0731872

[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 doi: 10.1126/science.1184014

[5]	Wang X and Schiavone P 2013 Mech. Res. Comm. 52 57 doi: 10.1016/j.mechrescom.2013.06.007

[6]	Hu C Z, Wang R and Ding D H 2000 Rep. Prog. Phys. 63 1 doi: 10.1088/0034-4885/63/1/201

[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 doi: 10.1038/nmat2753

[12]	Cai W, Moore A L, Zhu Y, Li X, Chen S, Shi L and Ruoff R S 2010 Nano Lett. 10 1645 doi: 10.1021/nl9041966

[8]	Li X F and Fan T Y 1998 Chin. Phys. Lett. 15 278 doi: 10.1088/0256-307X/15/4/016

[13]	Faugeras C, Faugeras B, Orlita M, Potemski M, Nair R R and Geim A K 2010 ACS Nano 4 1889 doi: 10.1021/nn9016229

[14]	Pettes M T, Jo I, Yao Z and Shi L 2011 Nano Lett. 11 1195 doi: 10.1021/nl104156y

[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 doi: 10.1063/1.2907977

[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 doi: 10.1088/0256-307X/18/1/331

[17]	Hu J, Ruan X and Chen Y P 2009 Nano Lett. 9 2730 doi: 10.1021/nl901231s

[18]	Evans W J, Hu L and Keblinski P 2010 Appl. Phys. Lett. 96 203112-3 doi: 10.1063/1.3435465

[10]	Guo R P, Liu G T and Fan T Y 2003 Chin. Phys. 12 1149 doi: 10.1088/1009-1963/12/10/317

[19]	Li W, Sevinçli H, Cuniberti G and Roche S 2010 Phys. Rev. B 82 041410-4 doi: 10.1103/PhysRevB.82.041410

[11]	Gao Y, Ricoeur A and Zhang L L 2011 Phys. Lett. A 375 2775 doi: 10.1016/j.physleta.2011.06.003

[20]	Wei N, Xu L, Wang H and Zheng J C 2011 Nanotechnology 22 105705 doi: 10.1088/0957-4484/22/10/105705

[12]	Li X Y and Li P D 2012 Phys. Lett. A 376 2004 doi: 10.1016/j.physleta.2012.04.049

[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 doi: 10.1038/nmat3064

[14]	Xing L Q, Shen Y T and Kelton K F 2002 Appl. Phys. Lett. 81 3371 doi: 10.1063/1.1511810

[22]	Bagri A, Kim S P, Ruoff R S and Shenoy V B 2011 Nano Lett. 11 3917 doi: 10.1021/nl202118d

[15]	Saida J and Inoue A 2004 Scr. Mater. 50 1297 doi: 10.1016/j.scriptamat.2004.02.018

[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 doi: 10.1021/nn200114p

[24]	Liang Q, Yao X, Wang W, Liu Y and Wong C P 2011 ACS Nano 5 2392 doi: 10.1021/nn200181e

[17]	Shen S P and Hu S L 2010 J. Mech. Phys. Solids 58 665 doi: 10.1016/j.jmps.2010.03.001

[25]	Kim J Y, Lee J H and Grossman J C 2012 ACS Nano 6 9050 doi: 10.1021/nn3031595

[18]	Wang G F and Wang T J 2006 Appl. Phys. Lett. 89 161901 doi: 10.1063/1.2362988

[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 doi: 10.1021/nl2029333

[27]	Plimpton S 1995 J. Comput. Phys. 7 1

[20]	Edagawa K and Takeuchi S 2007 Dislocation in Solids 13 365 doi: 10.1016/S1572-4859(07)80008-8

Elastic fields around a nanosized elliptichole in decagonal quasicrystals

Elastic fields around a nanosized elliptichole in decagonal quasicrystals

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 0

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Jia-Rong Ye(叶家容), Wei-Shen Huang(黄伟深), and Xiu-Jun Fu(傅秀军). Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines[J]. 中国物理B, 2022, 31(8): 86101-086101.
[2]	Haiqin Wang(王海钦), and Xinpeng Xu(徐新鹏). Variational approximation methods for long-range force transmission in biopolymer gels[J]. 中国物理B, 2022, 31(10): 104602-104602.
[3]	Jian-Li Guo(郭建丽), Zhen-Jun Yang(杨振军), Xing-Liang Li(李星亮), and Shu-Min Zhang(张书敏). Propagation dynamics of dipole breathing wave in lossy nonlocal nonlinear media[J]. 中国物理B, 2022, 31(1): 14203-014203.
[4]	Longwen Zhou(周龙文) and Wenqian Han(韩雯岍). Non-Hermitian quasicrystal in dimerized lattices[J]. 中国物理B, 2021, 30(10): 100308-100308.
[5]	牛真霞, 邰永航, 石俊生, 张威. Bose-Einstein condensates in an eightfold symmetric optical lattice[J]. 中国物理B, 2020, 29(5): 56103-056103.
[6]	董成伟. Topological classification of periodic orbits in Lorenz system[J]. 中国物理B, 2018, 27(8): 80501-080501.
[7]	毛斌斌, 刘卯鑫, 吴威, 李粮生, 应祖建, 罗洪刚. An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime[J]. 中国物理B, 2018, 27(5): 54219-054219.
[8]	姜子实, 高亚臣, Sabyasachi Kar, Kurunathan Ratnavelu. Resonances for positron-helium and positron-lithium systems in kappa-distribution plasma[J]. 中国物理B, 2018, 27(12): 123402-123402.
[9]	陈建国, 于术娟, 李雁鹏, 王赏, 陈彦军. Odd-even harmonic emission from asymmetric molecules: Identifying the mechanism[J]. 中国物理B, 2017, 26(9): 94209-094209.
[10]	刘官厅, 杨丽英. Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal[J]. 中国物理B, 2017, 26(9): 94601-094601.
[11]	姜丽娟, 刘官厅. The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals[J]. 中国物理B, 2017, 26(4): 44601-044601.
[12]	吴嘉野, 龚远志, 黄培然, 马根骏, 戴峭峰. Diurnal cooling for continuous thermal sources under direct subtropical sunlight produced by quasi-Cantor structure[J]. 中国物理B, 2017, 26(10): 104201-104201.
[13]	白旭芳, 张颖, 乌云其木格, 额尔敦朝鲁. Properties of strong-coupling magneto-bipolaron qubit in quantum dot under magnetic field[J]. 中国物理B, 2016, 25(7): 77804-077804.
[14]	郭珊, 许珂, 许超, 任志刚, 肖炳甲. Start-up phase plasma discharge design of a tokamak via control parameterization method[J]. , 2015, 24(3): 35202-035202.
[15]	刘世兴, 花巍, 郭永新. Research on the discrete variational method for a Birkhoffian system[J]. 中国物理B, 2014, 23(6): 64501-064501.