| 一维六方压电准晶对称条形体中共线双半无限快速传播裂纹的解析解 |
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| 引用本文： | 李星,霍华颂,时朋朋.一维六方压电准晶对称条形体中共线双半无限快速传播裂纹的解析解[J].固体力学学报,2014,35(2):135-141. |
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| 作者姓名： | 李星 霍华颂 时朋朋 |
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| 作者单位： | 宁夏大学数学与计算机学院 |
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| 基金项目： | 国家自然科学基金资助项目(11362018);高等学校博士学科点专项科研基金(20116401110002)资助 |
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| 摘 要： | 利用复变函数方法, 通过构造保角映射, 分析了一维六方压电准晶中对称条形体中共线双半无限快速传播裂纹的反平面问题, 给出了在电非渗透型与电渗透型两种情况下动态应力强度因子的解析解. 当速度趋于0时可退化为已有的对应的静力问题的解. 得到的解析解对准晶材料的工程应用中有一定的理论价值.
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| 关 键 词： | 一维六方压电准晶 共线双半无限快速传播裂纹 复变函数方法 动态应力强度因子 one-dimensional hexagonal piezoelectric quasicrystal two collinear fast propagating cracks complex variable method dynamic SIFs. |
| 收稿时间： | 2012-12-31 |
Analytic solutions of two collinear fast propagating cracks of a stip in one-dimensional hexagonal piezoelectric quasicrystals |
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| Abstract: | Based on the construction of conformal mapping, the antiplane problem of two collinear semi-infinite rapid propagation cracks in a symmetrical strip of one-dimensional hexagonal piezoelectric quasicrystals is analyzed by the complex variable method. Under the electrically impermeable and electrically permeable conditions, the analytic solutions of the dynamic stress intensity factors are obtained. When the crack velocity tends to zeros, the analytic solutions of the dynamic stress intensity factors can be degenerated to the existing solutions of the static solutions of correspondence. These solutions have a certain theoretical value for the engineering application of quasicrystal materials. |
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