The scattering of harmonic elastic anti-plane shear waves by two collinear cracks in the piezoelectric plate by using the non-local theory

被引：3
作者：
Zhou Zhengong
Wu Linzhi
Wang Biao
机构：
[1] Harbin Institute of Technology,Center for Composite Materials and Electro
来源：
Acta Mechanica Sinica | 2003年 / 19卷 / 6期
关键词：
elastic waves; crack; piezoelectric materials; non-local theory;
D O I：
10.1007/BF02484549
中图分类号：
学科分类号：
摘要：
In this paper, the dynamic interaction between two collinear cracks in a piezoelectric material plate under anti-plane shear waves is investigated by using the non-local theory for impermeable crack surface conditions. By using the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations. These equations are solved using the Schmidt method. This method is more reasonable and more appropriate. Unlike the classical elasticity solution, it is found that no stress and electric displacement singularity is present at the crack tip. The non-local dynamic elastic solutions yield a finite hoop stress at the crack tip, thus allowing for a fracture criterion based on the maximum dynamic stress hypothesis.
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页码：559 / 566
页数：7
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