摘要
提出一种可以分析任意梯度功能梯度材料的分层模型,并采用该模型研究功能梯度板条平面裂纹问题.采用Fourier变换和传递矩阵法将该混合边值问题化为奇异积分方程组,通过数值求解获得应力强度因子.考察了分层模型的有效性,还讨论了材料梯度变化形式、结构几何尺寸和材料梯度参数对裂纹应力强度因子的影响,发现结构几何尺寸、材料梯度变化形式、以及材料梯度参数均对应力强度因子有显著影响.
In this paper, a multi-layered model is developed and the plane elasticity problem for a functionally graded strip containing a crack has been considered by using this model. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the graded variation of material parameters and geometric parameters on the stress intensi- ty factors are investigated. The numerical results show that the graded variation of material parameter has significant effects on the stress intensity factors.
出处
《西安建筑科技大学学报（自然科学版）》
CSCD
北大核心
2011年第5期741-746,共6页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(10802078)
中国博士后科学基金资助项目(20100471006)
河南省优秀青年骨干教师资助项目(2010GGJS-023)
关键词
功能梯度材料
分层模型
裂纹
应力强度因子
functionally graded materials
multi-layered model
crack
stress intensity factors
