 | | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
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<< Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
Enxiang Qu, Hui Qi, Jing Guo, Jingyi Xu, and Shangqi Yuan, "Scattering of SH Guided Waves by a Semicircular Depression and a Linear Crack in a Strip Piezoelectric Medium," Mech. Solids. 59 (6), 3639-3655 (2024) |
Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3639-3655 |
DOI |
10.1134/S0025654424605822 |
Title |
Scattering of SH Guided Waves by a Semicircular Depression and a Linear Crack in a Strip Piezoelectric Medium |
Author(s) |
Enxiang Qu (College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001 China; School of Architecture and Civil Engineering, Qiqihar University, Qiqihar, 161006 China, 03318@qqhru.edu.cn)
Hui Qi (College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001 China, qihuihrbeu@126.com)
Jing Guo (College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001 China)
Jingyi Xu (School of Architecture and Civil Engineering, Qiqihar University, Qiqihar, 161006 China)
Shangqi Yuan (College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, 150001 China) |
Abstract |
The scattering problem of the steady-state 0-order SH guided wave with a semicircular dip
at the boundary of a zoning piezoelectric field and a linear crack in the inner plate is investigated using
the complex variable function method, multiple coordinate method, and Green’s function. The
guided wave expansion method is utilized in the construction of the SH guided wave, and the multiple
mirror method is utilized to fulfill the requirements of stress freedom and electrical insulation. Under
the time harmonic load with a semicircular depression in the zonal piezoelectric field, Green’s function represents the fundamental solution. By using the crack cutting method, it is possible to calculate
the dynamic stress concentration factor and dynamic stress intensity factor values of the crack tip when
both the crack and semicircle sag engage in joint action. The DSCF of a semicircular concave edge
and the DSIF of a linear crack are studied in terms of the influence of various piezoelectric parameters, including wave number, crack length, and band domain thickness. The results indicate that it is
important to study low frequency, make reasonable selections for piezoelectric parameters, and consider the length of a linear crack when dealing with the interaction between zonal piezoelectric materials with a semicircular sag and a linear crack. |
Keywords |
zonal piezoelectric field, linear crack, Green’s function, DSCF, DSIF |
Received |
16 October 2024 | Revised |
28 November 2024 | Accepted |
29 November 2024 |
Link to Fulltext |
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