Please wait a minute...
Chin. Phys., 2002, Vol. 11(3): 266-271    DOI: 10.1088/1009-1963/11/3/013

Elastic analysis of a mode II crack in a decagonal quasi-crystal

Li Xian-Fanga, Fan Tian-Youb
a College of Science, Hunan Normal University, Changsha, Hunan 410081, China; b Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China
Abstract  The elastic analysis of a mode II Griffith crack penetrating through a decagonal quasi-crystal along the periodic axis is made within the context of the continuum theory. By using a general solution obtained previously, the problem in the case of uniform shear stress at infinity is solved, and the analytical expressions for the entire stress field disturbed by an internal crack are derived in an explicit form. The asymptotic fields of the displacement and stress around a crack tip in both phonon and phason fields indicate that the stresses near a crack tip exhibit the square-root singularity. The formula for evaluating the energy release rate is also given. If imposing that the phason field is absent, the well-known results of a mode II crack in a conventional material are recovered from the present results.
Keywords:  crack      elastic field      energy release rate      quasi-crystal      singularity  
Received:  01 June 2001      Revised:  06 November 2001      Published:  13 June 2005
PACS:  62.20.M- (Structural failure of materials)  
  46.50.+a (Fracture mechanics, fatigue and cracks)  
  61.44.Br (Quasicrystals)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19972011).

Cite this article: 

Li Xian-Fang, Fan Tian-You Elastic analysis of a mode II crack in a decagonal quasi-crystal 2002 Chin. Phys. 11 266

[1] Creation of topological vortices using Pancharatnam-Berry phase liquid crystal holographic plates
Xuyue Guo(郭旭岳), Jinzhan Zhong(钟进展), Peng Li(李鹏), Bingyan Wei(魏冰妍), Sheng Liu(刘圣), Jianlin Zhao(赵建林). Chin. Phys. B, 2020, 29(4): 040305.
[2] Density wave and topological superconductivity in the magic-angle-twisted bilayer-graphene
Ming Zhang(张铭), Yu Zhang(张渝), Chen Lu(卢晨), Wei-Qiang Chen(陈伟强), and Fan Yang(杨帆). Chin. Phys. B, 2020, 29(12): 127102.
[3] Plastic deformation mechanism transition of Ti/Ni nanolaminate with pre-existing crack: Molecular dynamics study
Meng-Jia Su(宿梦嘉), Qiong Deng(邓琼)†, Min-Rong An(安敏荣), and Lan-Ting Liu(刘兰亭). Chin. Phys. B, 2020, 29(11): 116201.
[4] Anti-plane problem of nano-cracks emanating from a regular hexagonal nano-hole in one-dimensional hexagonal piezoelectric quasicrystals
Dongsheng Yang(杨东升) and Guanting Liu(刘官厅)†. Chin. Phys. B, 2020, 29(10): 104601.
[5] Micro-crack detection of nonlinear Lamb wave propagation in three-dimensional plates with mixed-frequency excitation
Wei-Guang Zhu(祝伟光), Yi-Feng Li(李义丰), Li-Qiang Guan(关立强), Xi-Li Wan(万夕里), Hui-Yang Yu(余辉洋), Xiao-Zhou Liu(刘晓宙). Chin. Phys. B, 2020, 29(1): 014302.
[6] Efficient image encryption scheme with synchronous substitution and diffusion based on double S-boxes
Xuan-Ping Zhang(张选平), Rui Guo(郭瑞), Heng-Wei Chen(陈恒伟), Zhong-Meng Zhao(赵仲孟), Jia-Yin Wang(王嘉寅). Chin. Phys. B, 2018, 27(8): 080701.
[7] Interaction between many parallel screw dislocations and a semi-infinite crack in a magnetoelectroelastic solid
Xin Lv(吕鑫), Guan-Ting Liu(刘官厅). Chin. Phys. B, 2018, 27(7): 074601.
[8] Destroying MTZ black holes with test particles
Yu Song(宋宇), Hao Tang(唐浩), De-Cheng Zou(邹德成), Cheng-Yi Sun(孙成一), Rui-Hong Yue(岳瑞宏). Chin. Phys. B, 2018, 27(2): 020401.
[9] Detection of meso-micro scale surface features based on microcanonical multifractal formalism
Yuanyuan Yang(杨媛媛), Wei Chen(陈伟), Tao Xie(谢涛), William Perrie. Chin. Phys. B, 2018, 27(1): 010502.
[10] Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal
Guan-Ting Liu(刘官厅), Li-Ying Yang(杨丽英). Chin. Phys. B, 2017, 26(9): 094601.
[11] The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals
Li-Juan Jiang(姜丽娟), Guan-Ting Liu(刘官厅). Chin. Phys. B, 2017, 26(4): 044601.
[12] Dynamics of a self-propelled particle under different driving modes in a channel flow
Zhenyu Ouyang(欧阳振宇), Jianzhong Lin(林建忠), Xiaoke Ku(库晓珂). Chin. Phys. B, 2017, 26(1): 014701.
[13] Vortex quasi-crystals in mesoscopic superconducting samples
Jing-Kun Wang(王璟琨), Wei Zhang(张威), Sá de Melo C A R. Chin. Phys. B, 2016, 25(8): 087401.
[14] Real-time quantitative optical method to study temperature dependence of crack propagation process in colloidal photonic crystal film
Lin Dong-Feng, Xu Yu-Zhuan, Shi Jiang-Jian, Zhang Yu, Luo Yan-Hong, Li Dong-Mei, Meng Qing-Bo. Chin. Phys. B, 2015, 24(7): 077803.
[15] Analysis of composite material interface crack face contact and friction effects using a new node-pairs contact algorithm
Zhong Zhi-Peng, He Yu-Bo, Wan Shui. Chin. Phys. B, 2014, 23(6): 064601.
No Suggested Reading articles found!