On generalized Rayleigh waves in a pre-stressed piezoelectric medium

Manoj Kumar Singh, Amit Kumar Rahul, Sandip Saha, Sourabh Paul, Ravi Tiwari and Susmay Nandi
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Manoj Kumar Singh: Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai 600127, Tamilnadu, India
Amit Kumar Rahul: Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai 600127, Tamilnadu, India
Sandip Saha: Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Chennai, Chennai 600127, Tamilnadu, India
Sourabh Paul: ��School of Electrical Engineering, Vellore Institute of Technology Chennai, Chennai 600127, Tamilnadu, India
Ravi Tiwari: ��School of Electrical Engineering, Vellore Institute of Technology Chennai, Chennai 600127, Tamilnadu, India
Susmay Nandi: ��Department of Mathematics, University of Petroleum and Energy Studies, Dehradun 248007, Uttarakhand, India

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 02, 1-20

Abstract: This research aims to study the different phenomena of generalized Rayleigh waves (RWs) in composite structures with piezoelectric material and corrugated surfaces. A thin piezoelectric layer that is precisely attached to an elastic substrate with initial stresses makes up the structure under consideration. By resolving the related electromechanical field equations, expressions for the displacement potential function are produced for both the elastic substrate and the piezoelectric layer. The frequency equations of the studied wave have been discovered as determinants for electrically open and short conditions. There have been both numerical illustrations and graphical demonstrations. On the stage speed of the combined RW, the impact of the grooved border, initial pressure, piezoelectric constant, dielectric constant, and thickness of the piezoelectric layer have been studied. Additionally, the analytical solution to the issue is compared to and shown to be in good agreement with the stiffness matrix approach result. This study offers a theoretical foundation for creating and developing piezoelectric composite-based devices. It has been found that the generalized RW velocity declines with the increase of the values of e15̃ and ε11 and an inverse relationship has been found with the increase of the value of H. In addition, it has also been noticed that the velocity profile of the generalized RW is greatly influenced by the size of the corrugation (measured at the upper layer).

Keywords: Propagation of wave; piezoelectricity; equation of frequency; initial stress (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124400060

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