| 一维正方准晶垂直于准周期方向具有不对称共线裂纹的圆形孔口问题 |
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| 引用本文： | 刘莹,刘官厅.一维正方准晶垂直于准周期方向具有不对称共线裂纹的圆形孔口问题[J].数学的实践与认识,2012,42(4):124-132. |
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| 作者姓名： | 刘莹 刘官厅 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金，内蒙古自然科学基金 |
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| 摘 要： | 利用复变函数方法,通过构造广义保角映射,研究了一维正方准晶垂直于准周期方向具有不对称共线裂纹的圆形孔口问题,给出了各应力分量在象平面的复表示,并得到该裂纹尖端的应力强度因子.在极限情形下,给出一维正方准晶中具有对称共线裂纹的圆形孔口,带单裂纹的圆形孔口和Griffith裂纹在裂纹尖端的应力强度因子.
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| 关 键 词： | 一维正方准晶 具有不对称共线裂纹的圆形孔口 应力强度因子 |
The Problem of a Circular Hole with Asymmetry Collinear Cracks Perpendicular to Quasic-periodic Direction in One-dimensional Orthorhombic Quasicrystals |
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| LIU Ying
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LIU Guan-ting.The Problem of a Circular Hole with Asymmetry Collinear Cracks Perpendicular to Quasic-periodic Direction in One-dimensional Orthorhombic Quasicrystals[J].Mathematics in Practice and Theory,2012,42(4):124-132. |
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| Authors: | LIU Ying LIU Guan-ting |
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| Institution: | (College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China) |
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| Abstract: | By proposing a generalized conformal mapping and using the complex variable function method,the problem about a circular hole with asymmetry collinear cracks perpendicular to quasic-periodic direction in one-dimensional orthorhombic quasicrystals was considered.Complex representation of stress was derived in mathematical plane,and the solutions of the SIFs at the crack tip were obtained.Under the conditions of limitation,the solutions of the SIFs at the crack tip of a circular hole with symmetrical collinear cracks,a circular hole with one crack and the Griffith crack were found out. |
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| Keywords: | one-dimensional orthorhombic quasicrystals circular hole with asymmetry collinear cracks stress intensity factor |
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