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。
In this paper, a single crack problem and a periodic crack antiplane problem of functionally graded materials (FGMs) are studied. An elementary solution is obtained, which represents the influence caused by a point dislocation placed at a point t on the real axis. The Fourier transform method is used to derive the elementary solution. After using the obtained elementary solution, the singular integral equation is formulated for the periodic crack problem. In the solution of the singular integral equation, the influence at the center crack caused by the many remote cracks is considered approximately. Finally, numerical results are presented, and the influence caused by the materials property a is addressed.
出处
《力学学报》
EI
CSCD
北大核心
2004年第4期501-506,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10272053)~~
关键词
功能梯度材料
裂纹问题
应力强度因子
奇异积分方程
材料力学
functionally graded materials
crack problems
stress intensity factors
singular integral equation
