Nonlinear Hydroelastic Waves Traveling in a Plate in Terms of Plotnikov--Toland's Model

DOI10.4208/AAMM.OA-2019-0307zbMath1488.74094OpenAlexW3116828849MaRDI QIDQ5157064

Ping Wang, Dong-Qiang Lu

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2019-0307

zbMATH Keywords

homotopy analysis methodnonlinear hydroelastic wavesincident progressive wavesspecial Cosserat theory of hyperelastic shells

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Nonlinear waves in solid mechanics (74J30) Free-surface potential flows for incompressible inviscid fluids (76B07)

Uses Software

• BVPh

Cites Work

• Unnamed Item
• Nonlinear hydroelastic waves traveling in a thin elastic plate floating on a two-layer fluid
• A boundary-integral method for the interaction of large-amplitude ocean waves with a compliant floating raft such as a sea-ice floe
• The mathematical challenges and modelling of hydroelasticity
• Past, present and impendent hydroelastic challenges in the polar and subpolar seas
• Modelling nonlinear hydroelastic waves
• Homotopy Analysis Method in Nonlinear Differential Equations
• Beyond Perturbation

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