任意梯度分布功能梯度板条平面裂纹分析  

Plane crack problem for functionally graded strip with arbitrarily distributed properties

作　　者：程站起[1] 金建洲[1] 

机构地区：[1]郑州大学土木工程学院,河南郑州45001

出　　处：《西安建筑科技大学学报（自然科学版）》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)

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.

关 键 词：功能梯度材料 分层模型 裂纹 应力强度因子 

分 类 号：O341[理学—固体力学]