EI、Scopus 收录

 引用本文: 陈宜周. 弹性功能梯度材料板条中周期裂纹的反平面问题[J]. 力学学报, 2004, 36(4): 501-506.
Antiplane problem of periodic crack in a strip of functionally graded materials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(4): 501-506.
 Citation: Antiplane problem of periodic crack in a strip of functionally graded materials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(4): 501-506.

## Antiplane problem of periodic crack in a strip of functionally graded materials

• 摘要: 讨论了弹性功能梯度材料板条中裂纹的反平面问题. 用Fourier变换方法得到了一个基本解. 这个基本解表示了实轴上一点作用有点位错时引起的影响. 利用此基本解可得单裂纹和周期裂纹问题的奇异积分方程. 在周期裂纹求解时,远处裂纹对于中央裂纹的影响作了有效的近似处理. 最后, 给出了数值结果,它表示了材料性质对于裂纹端应力强度因子的影响.

Abstract: In this paper, a single crack problem and a periodic crackantiplane problem of functionally graded materials (FGMs) arestudied. An elementary solution is obtained, which represents the influencecaused by a point dislocation placed at a point t on the real axis. TheFourier transform method is used to derive the elementary solution. Afterusing the obtained elementary solution, the singular integral equation isformulated for the periodic crack problem. In the solution of the singularintegral equation, the influence at the center crack caused by the manyremote cracks is considered approximately. Finally, numerical results arepresented, and the influence caused by the materials property \alpha is addressed.

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈