Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow

doi:10.1088/1674-1056/23/5/056101

Abstract The complex variable method for solving the two-dimensional thermal stress problem of icosahedral quasicrystals is stated. The closed-form solutions for icosahedral quasicrystals containing an elliptical hole subjected to a remote uniform heat flow are obtained. When the hole degenerates into a crack, the explicit solutions for the stress intensity factors is presented.

Keywords: icosahedral quasicrystals thermal stress elliptic hole stress intensity factors

Received: 07 September 2013
Revised: 30 November 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, 11272053, and 11262017), the Key Project of Chinese Ministry of Education (Grant No. 212029), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2013MS0114), the Natural Science Foundation of Inner Mongolia Department of Public Education, China (Grant No. NJZZ13037), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region, China (Grant No. NJYT-13-B07), and the Program for Higher-Level Talents of Inner Mongolia University, China (Grant No. 125125).

Corresponding Authors: Li Lian-He
E-mail: nmglilianhe@163.com

About author: 61.44.Br; 62.20.D-; 02.30.Em

Cite this article:

Li Lian-He (李联和), Liu Guan-Ting (刘官厅) Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow 2014 Chin. Phys. B 23 056101

[1]	Dubois J M and Kang S S and Perrot A 1994 Mater. Sci. Eng. A 179 122
[2]	Suck J B, Schreiber M and Haussler P 2002 Quasicrystals: An Introduction to Structure, Physical Properties and Applications (Berlin: Springer)
[3]	Bak P 1985 Phys. Rev. B 32 5764
[4]	Levine D, Lubensky T C, Ostlund S, Ramaswamy S and Steinhardt P J 1985 Phys. Rev. Lett. 54 1520
[5]	Hu C Z, Wang R H and Ding D H 2000 Rep. Prog. Phys. 63 1
[6]	Fan T Y 2010 Mathematical Theory of Elasticity of Quasicrystals and Application (Berlin: Springer)
[7]	Fu X J, Liao L G and Fu H 2009 Chin. Phys. Lett. 26 056103
[8]	Li L H 2013 Chin. Phys. B 22 016102
[9]	Li X F and Fan T Y 2002 Chin. Phys. 11 266
[10]	Gao Y, Ricoeur A and Zhang L L 2011 Phys. Lett. A 375 2775
[11]	Radi E and Mariano P M 2010 Int. J. Fract. 166 105
[12]	Li L H and Liu G T 2012 Phys. Lett. A 376 987
[13]	Guo J H and Lu Z X 2011 Appl. Math. Comput. 217 9397
[14]	Li W and Xie Y L 2013 Chin. Phys. B 22 036201
[15]	Yang W G, Feuerbacher M, Tamura N, Ding D H and Wang R H 1998 Philos. Mag. A 77 1481
[16]	Yang F Q 2001 Int. J. Solid. Struct. 38 3813
[17]	Lekhnitskii S G 1963 Theory of Elasticity of an Anisotropic Body (Moscow: MIR)
[18]	Edagawa K 2007 Dislocation in Solids 13 365

[1]	Influence of particle size on the breaking of aluminum particle shells Tian-Yi Wang(王天一), Zheng-Qing Zhou(周正青), Jian-Ping Peng(彭剑平),Yu-Kun Gao(高玉坤), and Ying-Hua Zhang(张英华). Chin. Phys. B, 2022, 31(7): 076107.
[2]	Influence of water environment on paint removal and the selection criteria of laser parameters Li-Jun Zhang(张丽君), Kai-Nan Zhou(周凯南), Guo-Ying Feng(冯国英), Jing-Hua Han(韩敬华),Na Xie(谢娜), and Jing Xiao(肖婧). Chin. Phys. B, 2022, 31(6): 064205.
[3]	Thermal stress reduction of GaAs epitaxial growth on V-groove patterned Si substrates Ze-Yuan Yang(杨泽园), Jun Wang(王俊), Guo-Feng Wu(武国峰), Yong-Qing Huang(黄永清), Xiao-Min Ren(任晓敏), Hai-Ming Ji(季海铭), and Shuai Luo(罗帅). Chin. Phys. B, 2021, 30(1): 016102.
[4]	Design and development of radio frequency output window for circular electron-positron collider klystron Zhijun Lu(陆志军), Shigeki Fukuda, Zusheng Zhou(周祖圣), Shilun Pei(裴士伦), Shengchang Wang(王盛昌), Ouzheng Xiao(肖欧正), UnNisa Zaib, Bowen Bai(白博文), Guoxi Pei(裴国玺), Dong Dong(董东), Ningchuang Zhou(周宁闯), Shaozhe Wang(王少哲), Yunlong Chi(池云龙). Chin. Phys. B, 2018, 27(11): 118402.
[5]	Application of thermal stress model to paint removal by Q-switched Nd：YAG laser Zou Wan-Fang (邹万芳), Xie Ying-Mao (谢应茂), Xiao Xing (肖兴), Zeng Xiang-Zhi (曾祥志), Luo Ying (罗颖). Chin. Phys. B, 2014, 23(7): 074205.
[6]	Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm Zhong Zhi-Peng (钟志鹏), He Yu-Bo (何郁波), Wan Shui (万水). Chin. Phys. B, 2014, 23(6): 064601.
[7]	Finite size specimens with cracks of icosahedral Al–Pd–Mn quasicrystals Yang Lian-Zhi (杨连枝), Ricoeur Andreas, He Fan-Min (何蕃民), Gao Yang (高阳). Chin. Phys. B, 2014, 23(5): 056102.
[8]	Size-dependent thermal stresses in the core–shell nanoparticles Astefanoaei I, Dumitru I, Stancu Al. Chin. Phys. B, 2013, 22(12): 128102.
[9]	Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole Li Lian-He (李联和). Chin. Phys. B, 2013, 22(11): 116101.
[10]	Screw dislocations interacting with two asymmetrical interfacial cracks emanating from an elliptical hole Zeng Xin (曾鑫), Fang Qi-Hong (方棋洪), Liu You-Wen (刘又文), P. H. Wen. Chin. Phys. B, 2013, 22(1): 014601.
[11]	Elliptic hole in octagonal quasicrystals Li Lian-He (李联和). Chin. Phys. B, 2013, 22(1): 016102.
[12]	Influence of thermal stress on the characteristic parameters of AlGaN/GaN heterostructure Schottky contacts Lü Yuan-Jie(吕元杰), Lin Zhao-Jun(林兆军), Zhang Yu(张宇), Meng Ling-Guo(孟令国), Cao Zhi-Fang(曹芝芳), Luan Chong-Biao(栾崇彪), Chen Hong(陈弘), and Wang Zhan-Guo(王占国) . Chin. Phys. B, 2011, 20(4): 047105.
[13]	Dynamic behaviour of the icosahedral Al--Pd--Mn quasicrystal with a Griffith crack Wang Xiao-Fang(王晓芳), Fan Tian-You(范天佑), and Zhu Ai-Yu(祝爱玉). Chin. Phys. B, 2009, 18(2): 709-714.
[14]	Exact analytic solutions for an elliptic hole with asymmetric collinear cracks in a one-dimensional hexagonal quasi-crystal Guo Jun-Hong(郭俊宏) and Liu Guan-Ting(刘官厅). Chin. Phys. B, 2008, 17(7): 2610-2620.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow

Cite this article:

Online attention