任意梯度分布功能梯度涂层平面裂纹分析  

PLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED STRIP WITH ARBITRARILY DISTRIBUTED MATERIAL PROPERTIES

作　　者：程站起[1] 高丹盈[1] 仲政[2] 

机构地区：[1]郑州大学土木工程学院,郑州450001 [2]同济大学航空航天与力学学院,上海200092

出　　处：《固体力学学报》2011年第4期426-432,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(10802078;10872150);中国博士后基金项目(20100471006);河南省优秀青年骨干教师项目(2010GGJS-023)资助

摘　　要：提出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涂层平面裂纹问题.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,以及材料梯度变化形式、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 the plane elasticity problem for a functionally graded coating containing a crack bonded to homogeneous material substrate has been considered. A multi-layered model is employed to mod- el arbitrary variations of material properties based on two linear-distributed material compliance parame- ters. 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, geometric parameters and graded parameter on the stress inten- sity factors are investigated. The numerical results show that the geometric parameters,graded variation of material parameters and graded parameters have 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：O346.1[理学—固体力学]