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Effect of the viscosity properties of ICE on the deflection of an ICE sheet subjected to a moving load

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Abstract

Steady-state rectilinear motion of a load on an ice sheet modeled by a viscoelastic plate is considered. The viscoelastic properties of ice are described using the linear Maxwell and Kelvin-Voigt models and a generalized Maxwell-Kelvin model. Calculated vertical displacements and strains of the ice plate are compared with available experimental data.

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References

  1. D. E. Khesin, Dynamics of an Ice Sheet [in Russian], Gidrometeoizdat, Leningrad (1967).

    Google Scholar 

  2. V. A. Squire, R. J. Hosking, A. D. Kerr, and P. J. Langhorne, Moving Loads on Ice Plates, Kluwer Acad. Publ., Dordrecht (1996).

    Google Scholar 

  3. G. E. Mase, Theory and Problems of Continuum Mechanics, McGraw-Hill, New York (1970).

    Google Scholar 

  4. A. M. Freudenthal and H. Geiringer, “The mathematical theory of the inelastic continuum,” in: Encyclopedia of Physics, Springer-Verlag, Berlin (1958).

    Google Scholar 

  5. V. M. Kozin and A. V. Pogorelova, “Wave resistance of an air-cushion vehicle in unsteady motion over an ice sheet,” J. Appl. Mech. Tech. Phys., 44, No. 2, 71–79 (2003).

    Article  Google Scholar 

  6. L. J. Doctors and S. D. Sharma, “The wave resistance of an aircushion vehicle in steady and acceleration motion,” J. Ship Res., 16, No. 4, 248–260 (1972).

    Google Scholar 

  7. T. Takizava, “Deflection of a floating sea ice sheet induced by a moving load,” Cold Regions Sci. Technol., 11, 171–180 (1985).

    Article  Google Scholar 

  8. V. A. Squire, W. H. Robinson, P. J. Langhorne, and T. G. Haskell, “Vehicles and aircraft on floating ice,” Nature, 333, 159–161 (1988).

    Article  ADS  Google Scholar 

  9. F. Milinazzo, M. Shinbrot, and N. W. Evans, “A mathematical analysis of the steady response of floating ice to the uniform motion of rectangular load,” J. Fluid Mech., 287, 173–197 (1995).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. R. W. Yeung and J. W. Kim, “Structural drag and deformation of a moving load on a floating plate,” in: Proc. of the 2nd Int. Conf. on Hydroelasticity in Marine Technology (Fukuoka, Jpn., Dec. 1–3, 1998), Yomei Printing Cooperative Soc., Fukuoka (1998), pp. 77–88.

    Google Scholar 

  11. K. Wang, R. J. Hosking, and F. Milinazzo, “Time-dependent response of a floating viscoelastic plate to an impulsively started moving load,” J. Fluid Mech., 521, 295–317 (2004).

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Correspondence to A. V. Pogorelova.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 3, pp. 147–157, May–June, 2009.

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Kozin, V.M., Pogorelova, A.V. Effect of the viscosity properties of ICE on the deflection of an ICE sheet subjected to a moving load. J Appl Mech Tech Phy 50, 484–492 (2009). https://doi.org/10.1007/s10808-009-0065-3

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  • DOI: https://doi.org/10.1007/s10808-009-0065-3

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