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
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
收藏
页数:12
相关论文
共 50 条
  • [31] Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
    Yun Zhu
    Zai-lin Yang
    Jian Zhao
    Yi-cun Chen
    Yong-tao Mi
    Journal of Engineering Mathematics, 2023, 143
  • [32] Dynamic stress analysis of scattering by a circular cavity in a radially inhomogeneous unbounded space under SH waves
    Yang, Zailin
    Xiao, Yong
    Yang, Yong
    Sun, Menghan
    Deng, Hongyu
    JOURNAL OF MECHANICS, 2021, 37 : 609 - 615
  • [33] Dynamic stress concentration factor for tunnel surrounding rock under blasting seismic waves
    Li, Xing-Hua
    Long, Yuan
    Ji, Chong
    Zhou, Xiang
    Lu, Liang
    Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering, 2013, 35 (03): : 578 - 582
  • [34] Dynamic stress response analysis of inhomogeneous medium containing inhomogeneous inclusions under action of SH waves
    Zhu, Yun
    Yang, Zai-lin
    Zhao, Jian
    Chen, Yi-cun
    Mi, Yong-tao
    JOURNAL OF ENGINEERING MATHEMATICS, 2023, 143 (01)
  • [35] Effect on dynamic stress distribution by the shape of cavity in continuous inhomogeneous medium under SH waves incidence
    Yang, Zailin
    Jiang, Guanxixi
    Song, Yunqiu
    Yang, Yong
    Sun, Menghan
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2021, 28 (20) : 2071 - 2082
  • [36] Magnetoacoustic Wave Scattering and Dynamic Stress Concentration around the Elliptical Opening in Exponential-Gradient Piezomagnetic Materials
    Wang, Zhiwen
    Zhou, Chuanping
    Zhang, Xueting
    Han, Xiao
    Bao, Junqi
    Chen, Lingkun
    Wang, Maofa
    Gong, Yongping
    Zhou, Weihua
    MATERIALS, 2022, 15 (13)
  • [37] Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave
    Jiang, Guanxixi
    Yang, Zailin
    Sun, Cheng
    Li, Xinzhu
    Yang, Yong
    MECCANICA, 2019, 54 (15) : 2411 - 2420
  • [38] Dynamic stress concentration of a cylindrical cavity in vertical exponentially inhomogeneous half space under SH wave
    Guanxixi Jiang
    Zailin Yang
    Cheng Sun
    Xinzhu Li
    Yong Yang
    Meccanica, 2019, 54 : 2411 - 2420
  • [39] Dynamic stress concentration of a circular cavity near the interface of orthotropic bimaterials under SH wave incidence
    Lan G.
    Zhang C.
    Xu H.
    Zhang J.
    Zhendong yu Chongji/Journal of Vibration and Shock, 2023, 42 (01): : 301 - 307
  • [40] Shear horizontal surface waves in piezoelectric materials with surface stress
    Zhang, L. L.
    Zhao, J.
    Liu, X. L.
    Liu, J. X.
    PHILOSOPHICAL MAGAZINE LETTERS, 2018, 98 (08) : 350 - 357