Mathematical Modeling of Dynamic Stress Concentration in Piezoelectric Materials with Elliptical Openings Under SH Waves

被引：0

作者：

Lu, Peng ^{[1
,2
]}

Wang, Yabo ^{[2
,3
]}

Liu, Rong ^{[2
]}

Chu, Changyong ^{[2
]}

Wang, Zhenyu ^{[2
]}

Zhou, Weihua ^{[4
]}

机构：

[1] Ordos Inst Technol, COMAC Aviat Coll, Ordos 017000, Peoples R China

[2] Hangzhou Dianzi Univ, Informat Engn Coll, Sch Mech Engn, Hangzhou 310056, Peoples R China

[3] Chengdu Starera Aerosp Technol Co Ltd, Chengdu 610096, Peoples R China

[4] Zhejiang Univ, Coll Elect Engn, Hangzhou 310027, Peoples R China

来源：

ACTUATORS | 2025年 / 14卷 / 03期

关键词：

piezoelectric material; SH wave; Mathieu function; dynamic stress concentration; mode coefficient; elliptical opening; SCATTERING;

D O I：

10.3390/act14030121

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents a targeted study on the dynamic stress concentration (DSC) in piezoelectric materials induced by SH waves, focusing on the impact of elliptical openings. By using the elliptic cylindrical coordinate system and Mathieu functions, the wave fields are decomposed into functional series. Through the establishment of a set of infinite equations with mode coefficients based on the boundary conditions, the distribution of the dynamic stress concentration coefficient is visualized via numerical simulation. Furthermore, the impact of incident wave frequency, incident angle, and elliptic eccentricity on the stress concentration coefficient is analyzed. The results demonstrate a strong correlation between these parameters and the dynamic stress concentration coefficient. These findings hold significant implications for enhancing the strength and fatigue life of piezo-electric materials, as well as for selecting appropriate nondestructive testing methods.

引用

页数：12

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