Waves generated by moving loads on ice plates: viscoelastic approximations

Dinvay, Evgueni, Kalisch, Henrik and Parau, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 (2022) Waves generated by moving loads on ice plates: viscoelastic approximations. Wave Motion, 114. ISSN 0165-2125

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Abstract

The paper investigates waves generated by the moving loads on ice plates floating on an incompressible fluid. Two different viscoelastic approximations are considered for the ice cover: A model depending on the strain-relaxation time, and a model including a hereditary delay integral. The problem is formulated in terms of the exact dispersion relation and the Dirichlet–Neumann operator connected to the fluid motion. Weakly nonlinear and linear approximations are derived by truncating the Dirichlet–Neumann operator. The Laplace transform is used to find the exact solutions of the linearized problems for the two viscoelastic models considered.

Item Type: Article
Additional Information: Acknowledgements: This research was supported by the Research Council of Norway under grant no. 239033/F20. E.P. has been partially supported by the EPSRC under grant EP/J019305/1. The authors would like to thank the Isaac Newton Institute for Mathematical Sciences and the University of Cambridge for support and hospitality during the programme Mathematics of sea ice phenomena where work on this paper was undertaken (EPSRC grant no. EP/K032208/1 and Simons Foundation).
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: LivePure Connector
Date Deposited: 20 Jul 2022 15:30
Last Modified: 02 Sep 2022 03:18
URI: https://ueaeprints.uea.ac.uk/id/eprint/86739
DOI: 10.1016/j.wavemoti.2022.103011

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