Dynamic non-local theory stress analysis of two equal and collinear mode-I cracks in the orthotropic medium

被引：0

作者：

Liu, Hai-Tao ^{[1
]}

Wu, Wen-Juan ^{[2
]}

Wu, Jian-Guo ^{[1
]}

机构：

[1] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China

[2] Tianjin Normal Univ, Coll Comp & Informat Engn, Tianjin 300387, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2018年 / 98卷 / 09期

基金：

中国国家自然科学基金;

关键词：

orthotropic medium; the lattice parameter; the non-local theory; two equal and collinear cracks; TIP; ELASTICITY; COMPOSITE; BEHAVIOR; SUBJECT;

D O I：

10.1002/zamm.201700350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, dynamic stress analysis of two equal and collinear mode-I cracks in the orthotropic medium is conducted using the non-local theory, the generalized Almansi's theorem and the Schmidt method. Fourier transform is applied to solve the problem, and the problem is converted to a pair of dual integral equations. The dynamic non-local stress fields near the crack tips are obtained. The effects of the distance between the two equal and collinear cracks, the circular frequency of the incident waves the lattice parameter on the stress field near the crack tips are discussed. The present solution exhibits no stress singularity at the crack tips in the orthotropic medium, i.e. the dynamic non-local stress field near the crack tips is finite. The obtained results play an important role in designing new composite structures in engineering.

引用

页码：1686 / 1698

页数：13

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