Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer

Kaplunov, Julius; Prikazchikova, Liudmila; Shamsi, Sheeru

Abstract

A plane strain problem is considered for an elastic layer immersed into a compressible fluid. The dispersion relation for anti-symmetric waves is studied. The associated three-term long-wave low-frequency expansion for a fluid-borne bending wave is derived, along with similar expansions corresponding to Kirchhoff and Timoshenko-Reissner type fluid-loaded plates. The results of comparative asymptotic analysis are presented. The role of plate inertia and fluid compressibility are discussed.

Citation

Kaplunov, J., Prikazchikova, L., & Shamsi, S. (2022). Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer. In Advances in Solid and Fracture Mechanics (127 - 134). (1). Springer. https://doi.org/10.1007/978-3-031-18393-5_8

• Acceptance Date: Nov 9, 2022
• Online Publication Date: Nov 8, 2022
• Publication Date: Nov 9, 2022
• Publicly Available Date: Nov 9, 2024
• Publisher: Springer
• Pages: 127 - 134
• Series Title: Advanced Structured Materials
• Series ISSN: 1869-8433; 1869-8441
• Edition: 1
• Book Title: Advances in Solid and Fracture Mechanics
• Chapter Number: 8
• ISBN: 978-3-031-18392-8; 978-3-031-18395-9
• DOI: https://doi.org/10.1007/978-3-031-18393-5_8
• Publisher URL: https://link.springer.com/chapter/10.1007/978-3-031-18393-5_8