| 一维六方准晶中正方形孔边双裂纹的反平面问题 |
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| 引用本文： | 邵阳,郭俊宏.一维六方准晶中正方形孔边双裂纹的反平面问题[J].内蒙古工业大学学报,2014(2):81-87. |
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| 作者姓名： | 邵阳 郭俊宏 |
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| 作者单位： | 内蒙古工业大学理学院,呼和浩特010051 |
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| 基金项目： | 国家自然科学基金（11262012,11262017）;内蒙古工业大学科学研究项目（ZD201219）. |
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| 摘 要： | 本文通过引入合适的保角映射函数,充分利用复变函数方法和解析函数理论,研究一维六方准晶中正方形孔边两不对称裂纹的反平面问题。在孔周及裂纹面为自由表面的假设下,结合数值保角映射函数和复变函数中的Cauchy积分公式,得到声子场和相位子场耦合作用下复势函数的近似解,并且给出裂纹尖端应力强度因子和能量释放率的显示表达式。数值算例讨论裂纹长度和正方形边长对场强度因子的影响规律。
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| 关 键 词： | 一维六方准晶 场强度因子 数值保角映射 裂纹 正方形孔口 |
Anti -plane Analysis of Double cracke Originating from a Square Hole in One-dimensional Hexagonal Quasicrystals |
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| SHAO Yang,GUO Junhong.Anti -plane Analysis of Double cracke Originating from a Square Hole in One-dimensional Hexagonal Quasicrystals[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2014(2):81-87. |
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| Authors: | SHAO Yang GUO Junhong |
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| Institution: | (College of Science, Inner Mongolia University of Technology, Hohhot 010051) |
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| Abstract: | By introducing a conformal mapping function and using the complex variable function method ,the anti-plane problem of double cracks originating from a square hole in one -dimensional hexagonal quasicrystals is investigated .Under the assumption that the surfaces of the hole and crack are traction -free ,combined with Cauchy＆#39;s integral and the numerical conformal mapping ,the approxi-mate solutions of the complex potentials for the phonon and phase fields are given .Moreover ,the ex-pressions of the field intensity factors and the energy release rate near the crack tip are obtained .Nu-merical examples are provided to discuss the effects of the cracks length and the side length of square on the field intensity factors . |
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| Keywords: | One-dimensional hexagonal quasicrystals Stress intensity factors Numerical confor-mal mapping Cracks Square Hole |
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