正交各向异性功能梯度材料中的运动裂纹

针对无限大正交各向异性功能梯度材料中Yoffe型运动裂纹受反平面剪切载荷的动力学问题,假设材料两个方向剪切模量均采用双参数任意次幂函数模型,采用积分变换-对偶积分方程方法,求得裂纹尖端动态应力场和位移场以及动应力强度因子.借助Matlab软件研究裂纹运动速度和梯度参数以及材料不均匀系数对动应力强度因子的影响.结果显示裂纹尖端应力同均匀材料一样具有奇异性;无量纲动应力强度因子随裂纹运动速度的增大而减小,随梯度参数的增大而增大.

The Moving Crack of Orthotropic Functionally Graded Materials

By using integral transforms-dual integral equations, the dynamic problem of Yoffe type crack was studied subjected to antiplane shear impact in infinity orthotropic functional- ly graded materials. The shear moduli in two directions were assumed to vary in terms with pow- er function form of two parameters of arbitrary times power. The stress field and strain field dy- namic stress intensity factor at crack tip were obtained. And the influences of material inhomoge- nous coefficient and graded parameters and crack motion speed to dynamic stress intensity factor were analyzed in virtue of Matlab software. The result showes that the stress at the crack tip is of singularity as the same of homogenous material. And the dimensionless dynamic stress intensity factor decreases with the increase of motion speed of crack and rises with the increase of graded parameters.