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Anti-plane problem analysis for icosahedral quasicrystals under shear loadings
作者姓名:李梧  柴玉珍
作者单位:School of Science, Taiyuan University of Technology
基金项目: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: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:二十面体准晶  反平面问题  剪切载荷  广义应力强度因子  半无限裂纹  V型缺口  裂缝分析  平面缺陷

Anti-plane problem analysis for icosahedral quasicrystals under shear loadings
Li Wu and Chai Yu-Zhen.Anti-plane problem analysis for icosahedral quasicrystals under shear loadings[J].Chinese Physics B,2014(11):442-448.
Authors:Li Wu and Chai Yu-Zhen
Affiliation:School of Science, Taiyuan University of Technology, Taiyuan 030024, China
Abstract:quasicrystal, stress intensity factor, crack tip tearing displacement, energy release rate
Keywords:quasicrystal  stress intensity factor  crack tip tearing displacement  energy release rate
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