Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate
The Rayleigh wave propagation in a functionally graded piezoelectric layer over elastic substrate have been considered. The material gradient is taken as exponentially varying in the layer. The dispersion relation is obtained for electrically open and short cases in the form of determinant. The nove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Forces in Mechanics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666359723000069 |
| _version_ | 1828012105833381888 |
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| author | K Hemalatha S Kumar D Prakash |
| author_facet | K Hemalatha S Kumar D Prakash |
| author_sort | K Hemalatha |
| collection | DOAJ |
| description | The Rayleigh wave propagation in a functionally graded piezoelectric layer over elastic substrate have been considered. The material gradient is taken as exponentially varying in the layer. The dispersion relation is obtained for electrically open and short cases in the form of determinant. The novelty of the current work is that the solution is obtained analytically with variable separable method approach to convert partial differential equations to ordinary differential equations and following orthodox method to get the final solution which is not considered in the existing literature. The numerical analysis of the results has been aided by the deployment of a particular model. In general, the wave number decreases as the inhomogeneity parameter rises, while the layer thickness and velocity have systemic impacts. The results have been discussed through graphs which are plotted with help of Mathematica 7. The impacts of inhomogeneity and layer thickness are taken into account. Similar characteristics can be seen in the phase shift for these parameters. The results attained can be used to enhance piezoelectric devices. |
| first_indexed | 2024-04-10T09:25:25Z |
| format | Article |
| id | doaj.art-6242b583c352442694b810f5e3662da1 |
| institution | Directory Open Access Journal |
| issn | 2666-3597 |
| language | English |
| last_indexed | 2024-04-10T09:25:25Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Forces in Mechanics |
| spelling | doaj.art-6242b583c352442694b810f5e3662da12023-02-20T04:09:30ZengElsevierForces in Mechanics2666-35972023-02-0110100171Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrateK Hemalatha0S Kumar1D Prakash2Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, INDIACorresponding author.; Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, INDIADepartment of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, INDIAThe Rayleigh wave propagation in a functionally graded piezoelectric layer over elastic substrate have been considered. The material gradient is taken as exponentially varying in the layer. The dispersion relation is obtained for electrically open and short cases in the form of determinant. The novelty of the current work is that the solution is obtained analytically with variable separable method approach to convert partial differential equations to ordinary differential equations and following orthodox method to get the final solution which is not considered in the existing literature. The numerical analysis of the results has been aided by the deployment of a particular model. In general, the wave number decreases as the inhomogeneity parameter rises, while the layer thickness and velocity have systemic impacts. The results have been discussed through graphs which are plotted with help of Mathematica 7. The impacts of inhomogeneity and layer thickness are taken into account. Similar characteristics can be seen in the phase shift for these parameters. The results attained can be used to enhance piezoelectric devices.http://www.sciencedirect.com/science/article/pii/S2666359723000069Rayleigh waveFunctionally graded materialPiezoelectric materialsDielectric constantWave numberPhase velocity |
| spellingShingle | K Hemalatha S Kumar D Prakash Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate Forces in Mechanics Rayleigh wave Functionally graded material Piezoelectric materials Dielectric constant Wave number Phase velocity |
| title | Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| title_full | Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| title_fullStr | Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| title_full_unstemmed | Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| title_short | Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| title_sort | dispersion of rayleigh wave in a functionally graded piezoelectric layer over elastic substrate |
| topic | Rayleigh wave Functionally graded material Piezoelectric materials Dielectric constant Wave number Phase velocity |
| url | http://www.sciencedirect.com/science/article/pii/S2666359723000069 |
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