Anti-plane problem analysis for icosahedral quasicrystals under shear loadings
Anti-plane problem analysis for icosahedral quasicrystals under shear loadings
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DOI：
10.1088/1674-1056/23/11/116201
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发表时间：
2014-09
影响因子：
1.7
通讯作者：
Wu Li;Y. Chai
中科院分区：
文献类型：
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作者：
Wu Li;Y. Chai
本文研究的是三维二十面体准晶的纵向剪切弹性。借助杜格代尔假说以及复势论的方法，它涉及到二十面体准晶的两个缺陷问题。第一个是半无限裂纹中应力强度因子和内聚力区尺寸的计算。同时，可以准确导出裂纹尖端撕裂位移。另一个是由尖锐的 V 形缺口作为裂纹的延伸引起的广义应力强度因子的演示。缺口尖端周围的广义 E 积分给出了 V 形缺口退化为裂纹时的能量释放率。除了在进行一些简化的裂纹分析方面的有用性之外，这项工作中获得的结果特别可以作为二十面体准晶体反平面缺陷问题的断裂力学的基础。
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.