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Structural Engineering and Mechanics Volume 85, Number 4, February25 2023 , pages 501-510 DOI: https://doi.org/10.12989/sem.2023.85.4.501 |
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A comprehensive analysis of horizontally polarized shear waves in a thin microstructural plate |
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Vikas Sharma and Satish Kumar
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| Abstract | ||
| Horizontally polarized shear waves (SH) have numerous applications in various scientific, engineering, and medical fields. The study deals with an investigation of SH-waves in a thin microstructural plate. The plate has been mathematically modelled by employing size dependent consistent couple stress theory, which involves a length parameter, known as characteristic length. Characteristic length is assumed to be of the order of internal microstructures of the material. Dispersion relations have been calculated for the propagation of SH-waves using different set of boundary conditions. Group velocity of the SH-waves has been calculated by using an analytical approach. The mathematical results obtained in the problem are discussed in detail and the impacts of characteristic length parameter and thickness of plate are presented on phase velocity of SH-waves through graphical illustrations. | ||
| Key Words | ||
| characteristic length; consistent couple stress theory; group velocity; plate waves; SH-waves | ||
| Address | ||
| Vikas Sharma: Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India Satish Kumar: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, India | ||