| 对数梯度材料泊松比不为零时的裂纹尖端场 |
| |
| 引用本文： | 郝天护.对数梯度材料泊松比不为零时的裂纹尖端场[J].力学学报,2006,38(5):688-691. |
| |
| 作者姓名： | 郝天护 |
| |
| 作者单位： | 东华大学220信箱 |
| |
| 摘 要： | 严格地求出了当泊松比不为零时对数梯度材料的裂纹尖端场.
虽然在本构方程中对数项为\exp(ax), 但严格地证明了在最后应力的表达式中,
它却变为\exp(ax/2+ak_{1}^{1 / 2}y/2-kr/2) 与\exp(ax/2-ak_{1}^{1/2}
y/2-kr/2). 对于数值解法, 若考虑了此种严格关系, 将会很容易地解释其结果.
|
| 关 键 词： | 裂纹 平面问题 梯度材料 对数型 |
| 文章编号： | 0459-1879（2006）05-0688-04 |
| 收稿时间： | 2005-07-15 |
| 修稿时间： | 2006-07-10 |
THE CRACK TIP FIELD IN FUNCTIONAL GRADIENT MATERIAL WITH EXPONENTIAL VARIATION OF ELASTIC CONSTANTS FOR THE CASE v≠0 |
| |
| Hao Tianhu.THE CRACK TIP FIELD IN FUNCTIONAL GRADIENT MATERIAL WITH EXPONENTIAL VARIATION OF ELASTIC CONSTANTS FOR THE CASE v≠0[J].chinese journal of theoretical and applied mechanics,2006,38(5):688-691. |
| |
| Authors: | Hao Tianhu |
| |
| Institution: | Donghua University, P.O.Box 220, Shanghai 200051, China |
| |
| Abstract: | The present paper derives the solution of the crack tip field in functional gradient material with exponential variation of elastic constants for the case 0. The crack is located on the Oxis (Fig.1). From the result in the Appendix VIII, only the exponential term exp(ax) is discussed. On the basis of exact mathematical theory, it has been found that although the exponential term is exp(ax) in the constitutive equations, yet it becomes exp(ax/2+ak11/2y/2-kr/2) and exp(ax/2-ak11/2y/2-kr/2) in the exact relation. For some numerical solutions, considering the results of the exact relation, they become explained more easily. Further study must focus on the influence of the large deformation. |
| |
| Keywords: | crack plane case functional gradient material exponential variation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《力学学报》浏览原始摘要信息 |
| 点击此处可从《力学学报》下载免费的PDF全文 |
