Non-local dynamic solution to a Mode-I crack in an orthotropic medium

被引：0
|
作者：
Liu, Hai-Tao [1 ]
机构：
[1] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2017年 / 97卷 / 10期
基金：
中国博士后科学基金;
关键词：
Orthotropic medium; Mode-I crack; non-local theory; the lattice parameter; STRESS INTENSITY FACTORS; ANTIPLANE SHEAR; SUBJECT; TIP; DISLOCATION; ELASTICITY; BEHAVIOR;
D O I：
10.1002/zamm.201600134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper presents the dynamic solution of a Mode-I crack in an orthotropic medium by use of the non-local theory, the generalized Almansi's theorem and the Schmidt method. By using Fourier transform, this problem is converted to a pair of dual integral equations. Different from the classical elasticity solution, the present solution exhibits no stress singularity at the crack tips because of the incorporation of non-local effects. Numerical examples are provided to show the effects of the crack length, the circular frequency of the incident waves and the lattice parameter on the stress field near the crack tips in an orthotropic medium. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：1305 / 1316
页数：12
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