| 一维正方准晶的共线周期性裂纹问题的应力分析 |
| |
| 引用本文： | 冯中华,刘官厅.一维正方准晶的共线周期性裂纹问题的应力分析[J].内蒙古大学学报(自然科学版),2012,43(3):231-236. |
| |
| 作者姓名： | 冯中华 刘官厅 |
| |
| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022 |
| |
| 基金项目： | 国家自然科学基金资助项目，内蒙古自然科学基金资助项目 |
| |
| 摘 要： | 通过构造势函数,利用半逆解法研究了一维正方准晶平行于准周期方向的共线周期性裂纹问题,给出了该问题的应力和应力强度因子的解析解.当裂纹间距趋于无穷时,共线周期性裂纹退化为Griffith裂纹,得到一维正方准晶平行于准周期方向裂纹问题的结果.
|
| 关 键 词： | 一维正方准晶 应力强度因子 半逆解法 共线周期性裂纹 |
Stress Analysis for the Problem of One-dimensional Orthorhombic Quasi-crystals with Collinear Periodic Cracks |
| |
| FENG Zhong-hua
,
LIU Guan-ting.Stress Analysis for the Problem of One-dimensional Orthorhombic Quasi-crystals with Collinear Periodic Cracks[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(3):231-236. |
| |
| Authors: | FENG Zhong-hua LIU Guan-ting |
| |
| Institution: | (College of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,China) |
| |
| Abstract: | Constructing a potential function,the problem of one-dimensional orthorhombic quasi-crystals with collinear periodic cracks in parallel to the quasi-periodic direction is investigated by using half-inverse method,and the analytical solutions of stress and the stress intensity factor about the problem are given explicitly.When the distance of adjacent cracks tends to infinite,collinear periodic cracks degenerate into Griffith crack,the results of one-dimensional orthorhombic quasi-crystals with crack in parallel to the quasi-periodic direction can be obtained. |
| |
| Keywords: | one-dimensional orthorhombic quasi-crystal stress intensity factor half-inverse method collinear periodic crack |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
