| 一维六方压电准晶材料中双周期裂纹反平面问题 |
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| 引用本文： | 崔江彦,;安震海,;王亚星.一维六方压电准晶材料中双周期裂纹反平面问题[J].河北职业技术师范学院学报,2014(3):53-57. |
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| 作者姓名： | 崔江彦 ;安震海 ;王亚星 |
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| 作者单位： | [1]宁夏大学数学与计算机学院,宁夏银川750021; [2]银川唐徕回民中学,宁夏银川750021; |
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| 基金项目： | 国家自然科学基金资助项目（项目编号：11261045） |
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| 摘 要： | 讨论无限大一维六方压电准晶材料中一类裂纹中心位于矩形顶点且成双周期分布的反平面问题,利用周期对称性、保角变化、椭圆函数及施瓦兹公式,给出该问题场势函数的封闭解,进而得到了裂纹尖端的强度因子。
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| 关 键 词： | 一维六方准晶 双周期裂纹 椭圆函数 解析解 |
The Antiplane Problem of One-dimensional Hexagonal Quasicrystals with Doubly Periodic Cracks |
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| Institution: | CUI Jiang-yan, AN Zhen-hai ,WANG Ya-xing ( 1 School of Mathematics and Computer Science, Ningxia University, Yinchuan Ningxia, 750021 ;2 Yin Chuan Tanglai Hui Middle School;China) |
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| Abstract: | The anti-plane problem of crack cal distribution in infinite one-dimensional centers that lie in rectangular vertices and showing doubly periodihexagonal quasicrystal materials is investigated in the thesis. Periodie symmetrical method, conformal mapping, elliptical function and Schwarz＇s formula are adopted as research methods. A closed-form solution of potential function in such anti-plane problem is concluded, resulting in the stress intensity factors. |
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| Keywords: | one-dimensional hexagonal quasicrystals doubly periodic cracks eUiptical function analysis solution |
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