PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

doi:10.1088/1009-1963/9/10/009

中国物理B ›› 2000, Vol. 9 ›› Issue (10): 764-766.doi: 10.1088/1009-1963/9/10/009

PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

彭彦泽, 范天佑

Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2000-03-23 修回日期:2000-06-08 出版日期:2000-12-25 发布日期:2005-06-10
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. K19972011).

PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

Peng Yan-ze (彭彦泽), Fan Tian-you (范天佑)

Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China

Received:2000-03-23 Revised:2000-06-08 Online:2000-12-25 Published:2005-06-10
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. K19972011).

摘要/Abstract

摘要： Perturbation method for solving elastic three-dimensional (3D) problems for 3D icosahedral quasicrystals is proposed. Considering an infinite 3D icosahedral quasicrystal weakened by a circular crack, we obtain the uniformly valid asymptotic solutions up to O(R²) for the mode I loading, where R is the elastic constant of phonon-phason coupling.

Abstract: Perturbation method for solving elastic three-dimensional (3D) problems for 3D icosahedral quasicrystals is proposed. Considering an infinite 3D icosahedral quasicrystal weakened by a circular crack, we obtain the uniformly valid asymptotic solutions up to O(R²) for the mode I loading, where R is the elastic constant of phonon-phason coupling.

Key words: icosahedral quasicrystal, circular crack, perturbation method

中图分类号: (Quasicrystals)

61.44.Br

62.20.D- (Elasticity) 62.20.M- (Structural failure of materials)

彭彦泽, 范天佑. PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK[J]. 中国物理B, 2000, 9(10): 764-766.

Peng Yan-ze (彭彦泽), Fan Tian-you (范天佑). PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK[J]. Chinese Physics, 2000, 9(10): 764-766.

[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]	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.
[3]	刘婷婷, 胡亚运, 赵静, 钟鸣, 童培庆. The entanglement of deterministic aperiodic quantum walks[J]. 中国物理B, 2018, 27(12): 120305-120305.
[4]	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.
[5]	陈阿丽, 梁同利, 汪越胜. Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals[J]. 中国物理B, 2015, 24(6): 66101-066101.
[6]	李梧, 柴玉珍. Anti-plane problem analysis for icosahedral quasicrystals under shear loadings[J]. , 2014, 23(11): 116201-116201.
[7]	李联和, 云国宏. Elastic fields around a nanosized elliptichole in decagonal quasicrystals[J]. , 2014, 23(10): 106104-106104.
[8]	杨连枝, Ricoeur Andreas, 何蕃民, 高阳. Finite size specimens with cracks of icosahedral Al–Pd–Mn quasicrystals[J]. 中国物理B, 2014, 23(5): 56102-056102.
[9]	李联和, 刘官厅. Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow[J]. 中国物理B, 2014, 23(5): 56101-056101.
[10]	李联和. Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole[J]. 中国物理B, 2013, 22(11): 116101-116101.
[11]	李梧, 解凌云. A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals[J]. 中国物理B, 2013, 22(3): 36201-036201.
[12]	李联和. Elliptic hole in octagonal quasicrystals[J]. Chin. Phys. B, 2013, 22(1): 16102-016102.
[13]	张健, 何进, 周幸叶, 张立宁, 马玉涛, 陈沁, 张勖凯, 杨张, 王睿斐, 韩雨, 陈文新. [J]. 中国物理B, 2012, 21(4): 47303-047303.
[14]	李梧. Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals[J]. 中国物理B, 2011, 20(11): 116201-116201.
[15]	周幸叶, 张健, 周致赜, 张立宁, 马晨月, 吴文, 赵巍, 张兴. An improvement to computational efficiency of the drain current model for double-gate MOSFET[J]. 中国物理B, 2011, 20(9): 97304-097304.

PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0