TY - GEN
T1 - Theoretical model for predicting the breakup of ice covers due to wave ice interaction
AU - Zhang, Changpeng
AU - Zhao, Xin
N1 - Publisher Copyright:
© 2020, International Association for Hydro-Environment Engineering and Research. All rights reserved.
PY - 2020
Y1 - 2020
N2 - An approximate solution for wave transmission and reflection between open water and a finite viscoelastic ice cover is developed in present study, in which both the water and the ice cover were treated as a continuum, each governed by its own equation of motion. The interface conditions included matching velocity and stresses between the two continua. The analysis is useful for modeling the wave-in-ice climate on a geophysical scale. In this study, only two modes of the dispersion relation are considered and the horizontal boundary conditions are approximated by matching the mean values. The reflection and transmission coefficients are determined for simplified cases to compare with earlier theories. Behaviors of the resonance are then obtained for a range of pure elastic ice covers. The effect of viscosity is also be investigated for viscoelastic ice covers. According to the above wave-ice interaction model, the stress and strain are calculated in the ice cover. By using the stress failure criterion, the breakup condition of ice covers with different thicknesses and lengths under the interaction of waves and sea ice is determined. Finally, a dynamic evolution model of ice floe size distribution function in the marginal ice zone is established.
AB - An approximate solution for wave transmission and reflection between open water and a finite viscoelastic ice cover is developed in present study, in which both the water and the ice cover were treated as a continuum, each governed by its own equation of motion. The interface conditions included matching velocity and stresses between the two continua. The analysis is useful for modeling the wave-in-ice climate on a geophysical scale. In this study, only two modes of the dispersion relation are considered and the horizontal boundary conditions are approximated by matching the mean values. The reflection and transmission coefficients are determined for simplified cases to compare with earlier theories. Behaviors of the resonance are then obtained for a range of pure elastic ice covers. The effect of viscosity is also be investigated for viscoelastic ice covers. According to the above wave-ice interaction model, the stress and strain are calculated in the ice cover. By using the stress failure criterion, the breakup condition of ice covers with different thicknesses and lengths under the interaction of waves and sea ice is determined. Finally, a dynamic evolution model of ice floe size distribution function in the marginal ice zone is established.
KW - Finite Ice Cover
KW - Ice breakup
KW - Wave Propagation; Viscoelastic; Transmission and Reflection Coefficients
UR - http://www.scopus.com/inward/record.url?scp=85203528573&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85203528573
SN - 9788275981200
T3 - IAHR International Symposium on Ice
BT - Proceedings of the 25th IAHR International Symposium on Ice
A2 - Alfredsen, Knut
A2 - Hoyland, Knut Vihelm
A2 - Lu, Wenjun
A2 - Bjerke, Per Ludvig
A2 - Lia, Leif
A2 - Loset, Sveinung
PB - International Association for Hydro-Environment Engineering and Research
T2 - 25th IAHR International Symposium on Ice, 2020
Y2 - 23 November 2020 through 25 November 2020
ER -
