[1]程站起,卢纪富..功能梯度板条Ⅲ型裂纹问题研究[J].郑州大学学报(工学版),2006,27(04):89-91.[doi:10.3969/j.issn.1671-6833.2006.04.022]
　Cheng stood up,Lu Jifu.Study on the crack problem of functional gradient slats type III [J].Journal of Zhengzhou University (Engineering Science),2006,27(04):89-91.[doi:10.3969/j.issn.1671-6833.2006.04.022]

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功能梯度板条Ⅲ型裂纹问题研究()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

27

期数:

2006年04期

页码:

89-91

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Study on the crack problem of functional gradient slats type III

作者:

程站起; 卢纪富.

郑州大学土木工程学院,河南,郑州,450001, 郑州大学土木工程学院,河南,郑州,450001

Author(s):

Cheng stood up; Lu Jifu

关键词:

功能梯度材料;  裂纹;  应力强度因子;  板条

Keywords:

functional gradient materials;  cracks;  stress intensity factor;  Slats

DOI:

10.3969/j.issn.1671-6833.2006.04.022

文献标志码:

A

摘要:

现存文献关于梯度材料断裂问题的研究大都是假设材料性质为坐标的指数函数或幂函数,而对其它函数形式较少采用.作者假设功能梯度材料剪切模量的倒数为坐标的线性函数,而泊松比为常量,研究功能梯度板条的反平面裂纹问题.利用Fourier积分变换技术和传递矩阵法将混合边值问题化为一对奇异积分方程,通过数值求解奇异积分方程获得板条裂纹在反平面载荷作用下的应力强度因子,并讨论了裂纹相对尺寸以及材料非均匀性对应力强度因子的影响.

Abstract:

Most of the existing literature research on the fracture problem of gradient materials assumes that the material properties are exponential functions or power functions of coordinates, and other function forms are rarely used. The author assumes that the reciprocal of the shear modulus of the functional gradient material is a linear function of the coordinates and the Poisson’s ratio is a constant, and the anti-plane crack problem of the functional gradient slats is studied. The Fourier integral transformation technology and transfer matrix method are used to solve the mixed edge value problem into a pair of singular integral equations, and the stress intensity factor of slab cracks under anti-plane loading is obtained by numerical solution of the singular integral equation, and the influence of crack relative size and material heterogeneity on the stress intensity factor is discussed.

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