Dynamic stress intensity factors of a semi-infinite crack in an orthotropic functionally graded material

被引：51
作者：
Xu Hongmin
Yao Xuefeng [1 ]
Feng Xiqiao
Hisen Yang Yeh
机构：
[1] Tsing Hua Univ, Dept Engn Mech, Beijing 100084, Peoples R China
[2] Calif State Univ Long Beach, Dept Mech & Aerosp Engn, Long Beach, CA 90840 USA
来源：
MECHANICS OF MATERIALS | 2008年 / 40卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
dynamic; stress intensity factors; functionally graded orthotropic materials; impact; semi-infinite crack;
D O I：
10.1016/j.mechmat.2007.06.003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The plane strain problems of semi-infinite cracks in an infinite functionally graded orthotropic material are studied. Two uniform impact loading modes are considered, i.e. opening and in-plane shear. Laplace and Fourier transforms along with the Winner-Hopf technique are employed to solve the displacement formulation of the equations of motion. Closed-form solutions of the dynamic stress intensity factors are obtained. It is observed that the stress intensity factors are not all proportional to the square root of time as expected. The results can be reduced to the known solutions derived independently for orthotropic or isotropic materials. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：37 / 47
页数：11
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