Theoretical and simulation analysis of a rectangular crack in the piezoelectric material
Abstract Piezoelectric materials are significantly affected in their mechanical and electrical properties due to the presence of internal cracks (especially rectangular cracks), which in turn impacts the reliability and functionality of the devices.This paper investigates the problem of rectangular...
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Nature Portfolio
2025-04-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-99476-w |
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| author | Yani Zhang Junlin Li |
| author_facet | Yani Zhang Junlin Li |
| author_sort | Yani Zhang |
| collection | DOAJ |
| description | Abstract Piezoelectric materials are significantly affected in their mechanical and electrical properties due to the presence of internal cracks (especially rectangular cracks), which in turn impacts the reliability and functionality of the devices.This paper investigates the problem of rectangular cracks in piezoelectric materials through theoretical analysis and numerical simulation. First, the electromechanical coupling governing equations and constitutive relationships of piezoelectric materials are established to analyze the stress field and electric displacement field at the crack tip, providing a theoretical basis for crack propagation behavior. Subsequently, the finite element method is employed to simulate the electromechanical coupling characteristics of rectangular cracks, revealing the variation patterns of stress, displacement, and potential contour plots under mechanical and electromechanical loading for different piezoelectric materials. Finally, The random forest machine learning and response surface method are used for the first time to study rectangular cracks in piezoelectric materials.A random forest regression model is applied to predict the data, and from the residual scatter plot provided, the accuracy of the prediction model is found to be high. Moreover, response surface methodology is used to analyze the influence of crack length, mechanical load, and electric field on crack propagation, offering an optimal model design scheme. |
| format | Article |
| id | doaj-art-eb53b3f0fc28445a8d18d448b929a4b8 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-eb53b3f0fc28445a8d18d448b929a4b82025-08-20T03:52:19ZengNature PortfolioScientific Reports2045-23222025-04-0115112210.1038/s41598-025-99476-wTheoretical and simulation analysis of a rectangular crack in the piezoelectric materialYani Zhang0Junlin Li1School of Applied Science, Taiyuan University of Science and TechnologySchool of Applied Science, Taiyuan University of Science and TechnologyAbstract Piezoelectric materials are significantly affected in their mechanical and electrical properties due to the presence of internal cracks (especially rectangular cracks), which in turn impacts the reliability and functionality of the devices.This paper investigates the problem of rectangular cracks in piezoelectric materials through theoretical analysis and numerical simulation. First, the electromechanical coupling governing equations and constitutive relationships of piezoelectric materials are established to analyze the stress field and electric displacement field at the crack tip, providing a theoretical basis for crack propagation behavior. Subsequently, the finite element method is employed to simulate the electromechanical coupling characteristics of rectangular cracks, revealing the variation patterns of stress, displacement, and potential contour plots under mechanical and electromechanical loading for different piezoelectric materials. Finally, The random forest machine learning and response surface method are used for the first time to study rectangular cracks in piezoelectric materials.A random forest regression model is applied to predict the data, and from the residual scatter plot provided, the accuracy of the prediction model is found to be high. Moreover, response surface methodology is used to analyze the influence of crack length, mechanical load, and electric field on crack propagation, offering an optimal model design scheme.https://doi.org/10.1038/s41598-025-99476-wPiezoelectric materialA rectangular crackElectromechanical couplingBBD |
| spellingShingle | Yani Zhang Junlin Li Theoretical and simulation analysis of a rectangular crack in the piezoelectric material Scientific Reports Piezoelectric material A rectangular crack Electromechanical coupling BBD |
| title | Theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| title_full | Theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| title_fullStr | Theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| title_full_unstemmed | Theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| title_short | Theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| title_sort | theoretical and simulation analysis of a rectangular crack in the piezoelectric material |
| topic | Piezoelectric material A rectangular crack Electromechanical coupling BBD |
| url | https://doi.org/10.1038/s41598-025-99476-w |
| work_keys_str_mv | AT yanizhang theoreticalandsimulationanalysisofarectangularcrackinthepiezoelectricmaterial AT junlinli theoreticalandsimulationanalysisofarectangularcrackinthepiezoelectricmaterial |