Dynamic intensity factors for multiple permeable cracks in piezoelectric materials,ZAMM - Journal of Applied Mathematics and Mechanics

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Dynamic intensity factors for multiple permeable cracks in piezoelectric materials
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-06-07 , DOI: 10.1002/zamm.201900344
Hai‐Tao Liu ₁

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This article presents the dynamic intensity factors for multiple permeable Mode‐I cracks in piezoelectric materials plane by means of the generalized Almansi's theorem. The Fourier transform is used and the present problem is formulated into two pairs of dual integral equations. The dual integral equations are solved by the Schmidt method. The dynamic stress intensity factors (DSIFs) and the dynamic electric displacement intensity factor (DEDIF) at the crack tips are given. It is shown that the effects of the crack length, the distance between two parallel cracks and the circular frequency of incident wave near the crack tips on the DSIFs and DEDIF.

中文翻译：

压电材料中多个可渗透裂纹的动态强度因子

本文通过广义Almansi定理介绍了压电材料平面中多个渗透性I型裂纹的动态强度因子。使用傅里叶变换并将当前问题表述为两对对偶积分方程。对偶积分方程通过Schmidt方法求解。给出了裂纹尖端的动态应力强度因子（DSIFs）和动态电位移强度因子（DEDIF）。结果表明，裂纹长度，两个平行裂纹之间的距离以及裂纹尖端附近入射波的圆形频率对DSIFs和DEDIF的影响。

更新日期：2020-06-07

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