Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-3pp.671-681

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Santosh Kumar, D. Prakash, M Muthtamilselvan, Bahaaeldin Abdalla, and Qasem M. Al-Mdallal, "Flexural Waves in an Electrically Short Hard Dielectric and Functionally Graded Piezoelectric Layer," Mech. Solids. 57 (3), 671-681 (2022)
Year 2022 Volume 57 Number 3 Pages 671-681
DOI 10.3103/S0025654422030165
Title Flexural Waves in an Electrically Short Hard Dielectric and Functionally Graded Piezoelectric Layer
Author(s) Santosh Kumar (Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM, Institute of Science and Technology, SRM Nagar, Kattankulathur-603203, Kanchipuram, Chennai, TN, India)
D. Prakash (Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM, Institute of Science and Technology, SRM Nagar, Kattankulathur-603203, Kanchipuram, Chennai, TN, India)
M Muthtamilselvan (Department of Mathematics, Bharathiar University, Coimbatore-641046, Tamilnadu, India, muthtamil1@buc.edu.in)
Bahaaeldin Abdalla (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia)
Qasem M. Al-Mdallal (Department of Mathematical Sciences, United Arab Emirates University, Al Ain, Abu Dhabi, United Arab Emirates, q.almdallal@uaeu.ac.ae)
Abstract With electrically short and traction free boundaries, a two layered structure consists of hard dielectric and functionally graded materials are taken for investigating the behaviour of flexural waves. In the functionally graded layer, the materials properties are varying quadratically. The approach is analytical to get the solution of both layers. A dispersion relation with the posed conditions at boundaries and interface is obtained in the form of determinant of order 8. For numerical results the particular model has been taken in account consists of the hard dielectric layer as SiO2 glass while other as ZnO substrate. For elucidation of numerical results, the graphs are made for phase velocity against wave number, phase velocity against frequency and frequency against wave number.
Keywords functionally graded material, dielectric layer, piezoelectric, phase velocity, wave number
Received 28 July 2021Revised 07 January 2022Accepted 11 January 2022
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