Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

doi:10.1007/s10483-020-2552-5

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (1): 139-156.doi: https://doi.org/10.1007/s10483-020-2552-5

Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

Xing ZHAO^1,2, Zhenghua QIAN², Jinxi LIU¹, Cunfa GAO²

1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2. State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期:2019-05-04 修回日期:2019-08-17 发布日期:2019-12-14
通讯作者: Zhenghua QIAN E-mail:qianzh@nuaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11272222, 11502108, and 11611530686) and the Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province of China (No. BK20140037)

Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

Xing ZHAO^1,2, Zhenghua QIAN², Jinxi LIU¹, Cunfa GAO²

1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2. State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2019-05-04 Revised:2019-08-17 Published:2019-12-14
Contact: Zhenghua QIAN E-mail:qianzh@nuaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11272222, 11502108, and 11611530686) and the Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province of China (No. BK20140037)

摘要/Abstract

摘要： Due to the incompatibility of the interlaminar deformations, the interface debonding or cracking usually happens in a layered magnetoelectric (ME) structure under an applied load. In this paper, the transient responses of the anti-plane interface cracks in piezoelectric (PE)-piezomagnetic (PM) sandwich structures are studied by the standard methods of the integral transform and singular integral equation. Discussion on the numerical examples indicates that the PE-PM-PE structure under electric impact is more likely to fracture than the PM-PE-PM structure under a magnetic impact. The dynamic stress intensity factors (DSIFs) are more sensitive to the variation of the active layer thickness. The effects of the material constants on the DSIFs are dependent on the roles played by PE and PM media during the deformation process.

关键词: piezoelectric (PE)-piezomagnetic (PM), sandwich structure, interface crack, transient response, dynamic stress intensity factor (DSIF)

Abstract: Due to the incompatibility of the interlaminar deformations, the interface debonding or cracking usually happens in a layered magnetoelectric (ME) structure under an applied load. In this paper, the transient responses of the anti-plane interface cracks in piezoelectric (PE)-piezomagnetic (PM) sandwich structures are studied by the standard methods of the integral transform and singular integral equation. Discussion on the numerical examples indicates that the PE-PM-PE structure under electric impact is more likely to fracture than the PM-PE-PM structure under a magnetic impact. The dynamic stress intensity factors (DSIFs) are more sensitive to the variation of the active layer thickness. The effects of the material constants on the DSIFs are dependent on the roles played by PE and PM media during the deformation process.

Key words: piezoelectric (PE)-piezomagnetic (PM), sandwich structure, interface crack, transient response, dynamic stress intensity factor (DSIF)

中图分类号:

74R99

Xing ZHAO, Zhenghua QIAN, Jinxi LIU, Cunfa GAO. Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(1): 139-156.

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Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case

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