边缘固定的功能梯度材料板条的共线裂纹问题  

Collinear Crack Problem for a Strip of Functionally Graded Materials in Antiplane Elasticity

作　　者：陈宜周[1] 林筱云[1] 

机构地区：[1]江苏大学工程力学研究所,江苏镇江212013

出　　处：《力学季刊》2006年第1期7-13,共7页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10272053)

摘　　要：讨论了反平面弹性功能梯度材料板条中的共线裂纹问题。假定板条的上下侧边是固定的,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。利用此基本解可得共线裂纹问题的奇异积分方程。给出了算例和裂纹端应力强度因子的计算结果。分析和讨论了弹性常数和开裂板条几何尺寸对于应力强度因子的影响。The collinear crack problem for a strip of functionally graded materials in antiplane elasticity was studied. Edges of the strip were assumed in a fixed position. An elementary solution was obtained, by using Fourier transform method. The elementary solution represents the traction influence caused by a point dislocation placed at a point on the real axis. After using the obtained elementary soluation, the singular integral equation for the collinear crack problem was obtained. Numerical examples for evaluating stress intensity factors at crack tips were present. The influence on the stress intensity factors was addressed, which is caused by elastic constant and geometry of cracked component.

关 键 词：功能梯度材料 应力强度因子 奇异积分方程 

分 类 号：O343.1[理学—固体力学]