| 立方准晶材料的剪切裂纹问题 |
| |
| 引用本文： | 周旺民,范天佑,尹姝媛. 立方准晶材料的剪切裂纹问题[J]. 应用数学和力学, 2003, 24(6): 637-643 |
| |
| 作者姓名： | 周旺民 范天佑 尹姝媛 |
| |
| 作者单位： | 1.河北建筑科技学院, 数理系, 河北邯郸, 056038; |
| |
| 基金项目： | 国家自然科学基金资助项目(19972011) |
| |
| 摘 要： | 通过引入位移函数,使得立方准晶的轴对称弹性问题归结为求解一个高阶偏微分方程.在此基础上,研究了立方准晶含有圆盘状裂纹的剪切问题,得到了此问题弹性场的精确解析解,以及应力强度因子与应变能释放率.
|
| 关 键 词： | 立方准晶 剪切裂纹 应力强度因子 |
| 文章编号： | 1000-0887(2003)06-0637-07 |
| 收稿时间： | 2001-05-08 |
| 修稿时间： | 2001-05-08 |
Crack Problem Under Shear Loading in Cubic Quasicrystal |
| |
| Affiliation: | 1.Department of Mathematics and Physics, Hebei Institute of Architectural Science & Technology, Handan, Hebei 056038, P. R. China;2.Functional Materials Division, Central Iron & Steel Research Institute, Beijing 100081, P. R. China;3.Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, P. R. China |
| |
| Abstract: | The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. Based on the work, the analytic solutions of elastic field of cubic quasicrystal with a penny-shaped crack under the shear loading are found, and the stress intensity factor and strain energy release rate are determined. |
| |
| Keywords: | cubic quasicryastal shear crack stress intensity factor |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
|
