Anti-plane problem analysis for icosahedral quasicrystals under shear loadings

doi:10.1088/1674-1056/23/11/116201

›› 2014, Vol. 23 ›› Issue (11): 116201-116201.doi: 10.1088/1674-1056/23/11/116201

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

Anti-plane problem analysis for icosahedral quasicrystals under shear loadings

李梧, 柴玉珍

School of Science, Taiyuan University of Technology, Taiyuan 030024, China

收稿日期:2014-01-11 修回日期:2014-05-28 出版日期:2014-11-15 发布日期:2014-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11402158 and 11272053) and the Qualified Personnel Foundation of Taiyuan University of Technology of China (Grant No. tyut-rc201358a).

Anti-plane problem analysis for icosahedral quasicrystals under shear loadings

Li Wu (李梧), Chai Yu-Zhen (柴玉珍)

School of Science, Taiyuan University of Technology, Taiyuan 030024, China

Received:2014-01-11 Revised:2014-05-28 Online:2014-11-15 Published:2014-11-15
Contact: Li Wu E-mail:liwu@tyut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11402158 and 11272053) and the Qualified Personnel Foundation of Taiyuan University of Technology of China (Grant No. tyut-rc201358a).

摘要/Abstract

摘要： The present paper is concerned with the longitudinal shear elasticity of three-dimensional icosahedral quasicrystals. By virtue of the Dugdale hypothesis along with the method of complex potential theory, it involves two defect problems of the icosahedral quasicrystals. The first one is the calculation of stress intensity factors and the size of the cohesive force zone in a half-infinite crack. Meanwhile, the crack tip tearing displacements can be exactly derived. The other is the demonstration of the generalized stress intensity factors induced by a sharp V-notch as an extension of a crack. The generalized E-integral around the notch tip gives the energy release rate when the V-notch degenerates into a crack. Apart from their own usefulness in carrying out some simplified crack analyses, the results obtained in this work can particularly serve as a basis for fracture mechanics of anti-plane defect problems of icosahedral quasicrystals.

关键词: quasicrystal, stress intensity factor, crack tip tearing displacement, energy release rate

Abstract: The present paper is concerned with the longitudinal shear elasticity of three-dimensional icosahedral quasicrystals. By virtue of the Dugdale hypothesis along with the method of complex potential theory, it involves two defect problems of the icosahedral quasicrystals. The first one is the calculation of stress intensity factors and the size of the cohesive force zone in a half-infinite crack. Meanwhile, the crack tip tearing displacements can be exactly derived. The other is the demonstration of the generalized stress intensity factors induced by a sharp V-notch as an extension of a crack. The generalized E-integral around the notch tip gives the energy release rate when the V-notch degenerates into a crack. Apart from their own usefulness in carrying out some simplified crack analyses, the results obtained in this work can particularly serve as a basis for fracture mechanics of anti-plane defect problems of icosahedral quasicrystals.

Key words: quasicrystal, stress intensity factor, crack tip tearing displacement, energy release rate

中图分类号: (Elasticity)

62.20.D-

61.44.Br (Quasicrystals) 62.20.M- (Structural failure of materials)

李梧, 柴玉珍. Anti-plane problem analysis for icosahedral quasicrystals under shear loadings[J]. , 2014, 23(11): 116201-116201.

Li Wu (李梧), Chai Yu-Zhen (柴玉珍). Anti-plane problem analysis for icosahedral quasicrystals under shear loadings[J]. Chin. Phys. B, 2014, 23(11): 116201-116201.

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Anti-plane problem analysis for icosahedral quasicrystals under shear loadings

Anti-plane problem analysis for icosahedral quasicrystals under shear loadings

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