Waves generated by moving loads on ice plates: viscoelastic approximations

Evgueni Dinvay; Henrik Kalisch; Emilian Parau

doi:10.1016/j.wavemoti.2022.103011

Waves generated by moving loads on ice plates: viscoelastic approximations

Evgueni Dinvay, Henrik Kalisch, Emilian Parau

Fluids & Structures

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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.

Original language	English
Article number	103011
Journal	Wave Motion
Volume	114
Early online date	21 Jul 2022
DOIs	https://doi.org/10.1016/j.wavemoti.2022.103011
Publication status	Published - Sep 2022

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10.1016/j.wavemoti.2022.103011Licence: CC BY

DinvayKalischParauRevisionAccepted author manuscript, 308 KBLicence: CC BY

Nonlinear Hydroelastic Waves with Applications to Ice Sheets (Joint Proposal, Lead - UCL)
Parau, E., Espin, L., Milewski, P., Vanden-Broeck, J. & Guyenne, P.
Engineering and Physical Sciences Research Council
12/11/12 → 11/05/16
Project: Research

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title = "Waves generated by moving loads on ice plates: viscoelastic approximations",

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.",

author = "Evgueni Dinvay and Henrik Kalisch and Emilian Parau",

note = "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).",

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doi = "10.1016/j.wavemoti.2022.103011",

language = "English",

volume = "114",

journal = "Wave Motion",

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T1 - Waves generated by moving loads on ice plates: viscoelastic approximations

AU - Dinvay, Evgueni

AU - Kalisch, Henrik

AU - Parau, Emilian

N1 - 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).

PY - 2022/9

Y1 - 2022/9

N2 - 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.

AB - 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.

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DO - 10.1016/j.wavemoti.2022.103011

M3 - Article

VL - 114

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

M1 - 103011

ER -

Waves generated by moving loads on ice plates: viscoelastic approximations

Abstract

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Projects

Nonlinear Hydroelastic Waves with Applications to Ice Sheets (Joint Proposal, Lead - UCL)

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