摘要
功能梯度材料是在航空航天领域的需求背景下发展起来的,但由于生产技术及工作环境等方面的原因,功能梯度材料内部常常产生各种形式的裂纹并最终导致材料破坏,因此研究含任意方向裂纹功能梯度材料的断裂问题具有重要意义。以含有任意方向裂纹的功能梯度材料为对象,运用积分变换方法,给出了相应材料平面问题的位移场的形式解。通过引入辅助函数并利用相关条件,可将问题转化为求解一组带有Cauchy核的奇异积分方程,继而采用Lobatto-Chebyshev方法对奇异积分方程进行数值求解。最后分析了裂纹方向、材料非均匀指数、载荷条件对混合型应力强度因子的影响。
Functionally graded materials (FGMs) have been developed for the needs of the aeronautic and astronautic fields. Due to the reasons for technology, working conditions and some other factors, lots of cracks easily appear in FGMs. Therefore, it is important to study the crack problems of FGMs with arbitrarily oriented cracks. The FGM with an arbitrarily oriented crack is considered. With the use of integration transform, the displacement form can be obtained. By using auxiliary functions and relative conditions, the present problem is transformed into solving a group of singular integral equations which can be solved numerically by Lobatto-Chebyshev method. Numerical results are obtained to illustrate the variations of the stress intensity factors (SIFs) with the parameters such as nonhomogeneity factor, crack direction and load conditions.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
2004年第1期84-89,共6页
Acta Materiae Compositae Sinica
基金
教育部跨世纪优秀人才基金
关键词
功能梯度材料
任意方向裂纹
应力强度因子
Cracks
Integral equations
Integration
Stress analysis
Stress intensity factors
