The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals

doi:10.1088/1674-1056/26/4/044601

Abstract

Based on the fundamental equations of piezoelasticity of quasicrystal material, we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals. Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack, as well as the force on dislocation. The derivation is based on the conformal mapping method and the perturbation technique. The influences of the wedge angle and dislocation location on the image force are also discussed. The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones.

Keywords: one-dimensional hexagonal piezoelectric quasicrystals dislocation wedge-shaped crack interaction

Received: 12 September 2016
Revised: 07 November 2016
Accepted manuscript online:

PACS:	46.05.+b	(General theory of continuum mechanics of solids)
	46.50.+a	(Fracture mechanics, fatigue and cracks)
	61.72.Lk	(Linear defects: dislocations, disclinations)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11262017, 11262012, and 11462020), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2015MS0129), the Programme of Higher-level Talents of Inner Mongolia Normal University (Grant No. RCPY-2-2012-K-035), and the Key Project of Inner Mongolia Normal University (Grant No. 2014ZD03).

Corresponding Authors: Li-Juan Jiang, Guan-Ting Liu
E-mail: 1530284866@qq.com;guantingliu@imnu.edu.cn

Cite this article:

Li-Juan Jiang(姜丽娟), Guan-Ting Liu(刘官厅) The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals 2017 Chin. Phys. B 26 044601

[1]	Cui L J, Gao J, Du Y F, Zhang G W, Zhang L, Long Y, Yang S W, Zhan Q and Wan F R 2016 Acta Phys. Sin. 65 066102 (in Chinese)
[2]	Zheng S B, Gao Z H, Tang B H, Jiang Y H, Luo Y M and Gao Z H 2016 Acta Phys. Sin. 65 014202 (in Chinese)
[3]	Zhao Z G, Tian D X, Zhao J, Liang X B, Ma X Y and Yang D R 2015 Acta Phys. Sin. 64 208101 (in Chinese)
[4]	Yu T, Xie H X and Wang C Y 2012 Chin. Phys. B 21 026104
[5]	Fang Q H, Song H P and Liu Y W 2010 Chin. Phys. B 19 016102
[6]	Ding D H, Wang R H, Yang W G and Hu C Z 1995 J. Phys.: Condens. Matter 7 5423
[7]	Zhou W M and Fan T Y 2001 Chin. Phys. 10 743
[8]	Liu G T and Fan T Y 2003 Sci. China E 46 326
[9]	Li L H and Fan T Y 2006 J. Phys.: Condens. Matter 18 10631
[10]	Yu J, Guo J H and Xing Y M 2015 Chin. J. Aeron. 28 1287
[11]	Guo J H, Yu J, Xing Y M, Pan E N and Li L H 2016 Acta Mech. 227 2595
[12]	Yu J, Guo J H, Xing Y M, Pan E N and Xing Y M 2015 Acta Mech. 36 793
[13]	Guo J H and Liu G T 2008 Chin. Phys. B 17 2610
[14]	Liu X and Guo J H 2016 Theor. Appl. Frac. Mech. 86 225
[15]	Head A K 1953 Philos. Mag. 44 92
[16]	Ohr S M, Chang S J and Thomson R 1985 J. Appl. Phys. 57 1839
[17]	Pak Y E 1990 ASME J. Appl. Mech. 57 647
[18]	Zeng X, Fang Q H, Liu Y W and Wen P H 2013 Chin. Phys. B 22 014601
[19]	Lee K Y, Lee W G and Pak Y E 2000 ASME J. Appl. Mech. 67 165
[20]	Chen B J, Xiao Z M and Liew K M 2002 Int. J. Eng. Sci. 40 621
[21]	Liu J X, Liu A and Jiang Z Q 2004 Acta Mech. Sin. 20 519
[22]	Li X F and Fan T Y 1999 Phys. Stat. Sol 212 19
[23]	Liu G T, Guo R P and Fan T Y 2003 Chin. Phys. 12 1149
[24]	Li L H and Liu G T 2012 Acta Phys. Sin. 61 086103 (in Chinese)
[25]	Altay G and Domeci M C 2012 Int. J. Solids Struct. 49 3255
[26]	Muskhelishvili N I 1963 Some Basic Problems of Mathematical Theory of Elasticity (Noordhoff: Groningen) pp. 123-132
[27]	Li X Y, Li P D, Wu T H, Shi M X and Zhu Z W 2014 Phys. Lett. A 378 826

[1]	Conductive path and local oxygen-vacancy dynamics: Case study of crosshatched oxides Z W Liang(梁正伟), P Wu(吴平), L C Wang(王利晨), B G Shen(沈保根), and Zhi-Hong Wang(王志宏). Chin. Phys. B, 2023, 32(4): 047303.
[2]	Analytical determination of non-local parameter value to investigate the axial buckling of nanoshells affected by the passing nanofluids and their velocities considering various modified cylindrical shell theories Soheil Oveissi, Aazam Ghassemi, Mehdi Salehi, S.Ali Eftekhari, and Saeed Ziaei-Rad. Chin. Phys. B, 2023, 32(4): 046201.
[3]	Abnormal magnetic behavior of prussian blue analogs modified with multi-walled carbon nanotubes Jia-Jun Mo(莫家俊), Pu-Yue Xia(夏溥越), Ji-Yu Shen(沈纪宇), Hai-Wen Chen(陈海文), Ze-Yi Lu(陆泽一), Shi-Yu Xu(徐诗语), Qing-Hang Zhang(张庆航), Yan-Fang Xia(夏艳芳), Min Liu(刘敏). Chin. Phys. B, 2023, 32(4): 047503.
[4]	All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems Shubin Wang(王树斌), Xin Zhang(张鑫), Guoli Ma(马国利), and Daiyin Zhu(朱岱寅). Chin. Phys. B, 2023, 32(3): 030506.
[5]	Soliton molecules, T-breather molecules and some interaction solutions in the (2+1)-dimensional generalized KDKK equation Yiyuan Zhang(张艺源), Ziqi Liu(刘子琪), Jiaxin Qi(齐家馨), and Hongli An(安红利). Chin. Phys. B, 2023, 32(3): 030505.
[6]	Intense low-noise terahertz generation by relativistic laser irradiating near-critical-density plasma Shijie Zhang(张世杰), Weimin Zhou(周维民), Yan Yin(银燕), Debin Zou(邹德滨), Na Zhao(赵娜), Duan Xie(谢端), and Hongbin Zhuo(卓红斌). Chin. Phys. B, 2023, 32(3): 035201.
[7]	Flux pinning evolution in multilayer Pb/Ge/Pb/Ge/Pb superconducting systems Li-Xin Gao(高礼鑫), Xiao-Ke Zhang(张晓珂), An-Lei Zhang(张安蕾), Qi-Ling Xiao(肖祁陵), Fei Chen(陈飞), and Jun-Yi Ge(葛军饴). Chin. Phys. B, 2023, 32(3): 037402.
[8]	Formalism of rotating-wave approximation in high-spin system with quadrupole interaction Wen-Kui Ding(丁文魁) and Xiao-Guang Wang(王晓光). Chin. Phys. B, 2023, 32(3): 030301.
[9]	Correction of intense laser-plasma interactions by QED vacuum polarization in collision of laser beams Wen-Bo Chen(陈文博) and Zhi-Gang Bu(步志刚). Chin. Phys. B, 2023, 32(2): 025204.
[10]	Molecular dynamics study of interactions between edge dislocation and irradiation-induced defects in Fe–10Ni–20Cr alloy Tao-Wen Xiong(熊涛文), Xiao-Ping Chen(陈小平), Ye-Ping Lin(林也平), Xin-Fu He(贺新福), Wen Yang(杨文), Wang-Yu Hu(胡望宇), Fei Gao(高飞), and Hui-Qiu Deng(邓辉球). Chin. Phys. B, 2023, 32(2): 020206.
[11]	Evolution of microstructure, stress and dislocation of AlN thick film on nanopatterned sapphire substrates by hydride vapor phase epitaxy Chuang Wang(王闯), Xiao-Dong Gao(高晓冬), Di-Di Li(李迪迪), Jing-Jing Chen(陈晶晶), Jia-Fan Chen(陈家凡), Xiao-Ming Dong(董晓鸣), Xiaodan Wang(王晓丹), Jun Huang(黄俊), Xiong-Hui Zeng(曾雄辉), and Ke Xu(徐科). Chin. Phys. B, 2023, 32(2): 026802.
[12]	Quantitative analysis of soliton interactions based on the exact solutions of the nonlinear Schrödinger equation Xuefeng Zhang(张雪峰), Tao Xu(许韬), Min Li(李敏), and Yue Meng(孟悦). Chin. Phys. B, 2023, 32(1): 010505.
[13]	Design and high-power test of 800-kW UHF klystron for CEPC Ou-Zheng Xiao(肖欧正), Shigeki Fukuda, Zu-Sheng Zhou(周祖圣), Un-Nisa Zaib, Sheng-Chang Wang(王盛昌), Zhi-Jun Lu(陆志军), Guo-Xi Pei(裴国玺), Munawar Iqbal, and Dong Dong(董东). Chin. Phys. B, 2022, 31(8): 088401.
[14]	Core structure and Peierls stress of the 90° dislocation and the 60° dislocation in aluminum investigated by the fully discrete Peierls model Hao Xiang(向浩), Rui Wang(王锐), Feng-Lin Deng(邓凤麟), and Shao-Feng Wang(王少峰). Chin. Phys. B, 2022, 31(8): 086104.
[15]	Radiation effects of electrons on multilayer FePS₃ studied with laser plasma accelerator Meng Peng(彭猛), Jun-Bo Yang(杨俊波), Hao Chen(陈浩), Bo-Yuan Li(李博源), Xu-Lei Ge(葛绪雷), Xiao-Hu Yang(杨晓虎), Guo-Bo Zhang(张国博), and Yan-Yun Ma(马燕云). Chin. Phys. B, 2022, 31(8): 086102.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals

Cite this article:

Online attention