功能梯度材料受冲击载荷作用裂纹尖端应力场  

Theoretical analysis of crack-tip stress fields in FGMs under anti-plane shear impact loading

作　　者：毕贤顺[1] 周继忠[1] 石岩[1] 

机构地区：[1]福建工程学院土木工程系,福建福州350007

出　　处：《辽宁工程技术大学学报（自然科学版）》2009年第5期774-776,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：福建省科技厅基金资助项目(2008F5005);福建工程学院科研发展基金资助项目(GY-Z0747)

摘　　要：针对在经典弹性动力学范围内,裂纹尖端应力的奇异性未得到解决这一问题,根据非局部线弹性理论,研究含裂纹无限板在反平面冲击载荷作用下的问题。假设裂纹突然受到均匀载荷作用,材料的剪切模量和密度为指数形式模型,泊松比为常数。利用拉普拉斯和傅立叶变换将混合边界值问题简化为对偶积分方程,并得到裂纹尖端应力场的解析解答。Recently a new class of engineered materials,namely functionally graded materials（FGMs）,have been developed primarily for high temperature applications.FGMs are two component material systems,in which the material composition is spatially varied to suit the particular application.In this paper,the geometry of an infinite cracked plate under anti-plane shear impact loading will be investigated using non-local linear elasticity theory.The crack is assumed to occur suddenly in a uniformly loaded elastic body.The shear modulus and mass density of FGMs are assumed to be of exponential form and the Poisson’s ratio is assumed to be constant.The mixed boundary value problem is simplified to a pair dual integral equations using Laplace and Fourier integral transform method.Therefore the crack-tip stress fields in FGMs are obtained.

关 键 词：功能梯度材料 裂纹 应力场 积分变换 对偶积分方程 

分 类 号：O346.1[理学—固体力学]