Engineering Transactions, 52, 1-2, pp. 111–130, 2004

Creep Buckling of a Wedge-Shaped Floating Ice Plate

R. Staroszczyk
Polish Academy of Sciences

B. Hedzielski
Polish Academy of Sciences

The paper is concerned with the problem of creep buckling of a floating ice plate pressing against a rigid, vertical-walled, engineering structure of a finite length. The plate is modelled as a truncated wedge of a semi-infinite length and constant thickness, resting on a liquid base and subjected to transverse bending due to the elastic reaction of the base and in-plane axial compression due to wind and water drag forces. The ice is treated as a viscous material, with the viscosity varying with the depth of the ice cover. The results of numerical calculations, carried out by the finite-element method, show the evolution of creep buckles in the plate, and also illustrate the behaviour of the ice cover at different levels of the in-plane axial loading, at different temperatures across the ice, and for different geometries of the wedge-shaped plate.
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C.R. CALLADINE, The effect of cross-section shape on the creep buckling behaviour of columns, Int. J. Mech. Sci., 4, 387–407, 1962.

C.S.M. DOAKE and E.W. WOLFF, Flow law for ice in polar ice sheets, Nature, 314, 6008, 255–257, 1985.

W.N. FINDLEY, J.S. LAI and K. ONARAN, Creep and relaxation of nonlinear viscoelastic materials, North-Holland, Amsterdam 1976.

J.W. GLEN, The creep of polycrystalline ice, Proc. R. Soc. Lond., A 228, 1175, 519–538, 1955

K. HUTTER, Theoretical glaciology. Material science of ice and the mechanics of glaciers and ice sheets, Reidel, Dordrecht 1983.

A.D. KERR, On the determination of horizontal forces a floating ice plate exerts on a structure, J. Glaciol., 20, 82, 123–134, 1978.

M. MELLOR, Mechanical properties of polycrystalline ice, [in:] P. TRYDE [Ed.], Physics and Mechanics of Ice, Proc. IUTAM Symp. Copenhagen 1979, 217–245, Springer, Berlin 1980.

M. MELLOR and R. TESTA, Creep of ice under low stress, J. Glacial., 8, 52, 147–152, 1969.

M. MELLOR and R. TESTA, Effect of temperature on the creep of ice, J. Glaciol., 8, 52, 131–145, 1969.

L.W. MORLAND, The flow of ice sheets and ice shelves, [in:] K. HUTTER [Ed.], Continuum Mechanics in Environmental Sciences and Geophysics, 403–466, Springer, Wien 1993.

D.E. NEVEL, Bending and buckling of a wedge on an elastic foundation, [in:] P. Tryde [Ed.], Physics and Mechanics of Ice, Proc. IUTAM Symp. Copenhagen 1979, 278–288, Springer, Berlin 1980.

T. J. 0. SANDERSON, Ice mechanics. Risks to offshore structures, Graham and Trotman, London 1988.

J. SCHWARZ and W.F. WEEKS, Engineering properties of sea ice, J. Glaciol., 19, 81, 499–531, 1977.

S.-G. SJOLIND, Viscoelastic buckling analysis of floating ice sheets, Cold Reg. Sci. Technol., 11, 3, 241–246, 1985.

G.D. SMITH and L.W. MORLAND, Viscous relations for the steady creep of polycrystalline ice, Cold Reg. Sci. Technol., 5, 2, 141–150, 1981.

D.S. SODHI, F.D. HAYNES, K. KATO AND K. HIRAYAMA, Experimental determination of the buckling loads of floating ice sheets, Ann. Glaciol., 4, 260–265, 1983.

E. STANDER and B. MICHEL, The effect of fluid flow on the development of preferred orientations in sea ice: Laboratory experiments, Cold Reg. Sci. Technol., 17, 2, 153–161, 1989.

R. STAROSZCZYK, On the maximum horizontal forces exerted by floating ice on engineering structures, Arch. Hydroeng. Environ. Mech., 49, 4, 17–35, 2002.

S. TIMOSHENKO and S. WOINOWSKY–KRIEGER, Theory of plates and shells, McGraw-Hill, New York, 2nd ed., 1959.

W.F. WEEKS and A.J. GOW, Crystal alignments in the fast ice of Arctic Alaska, J. Geophys. Res., 85, C2, 1137–1146, 1978.

O.C. ZIENKIEWICZ and R.L. TAYLOR, The Finite Element Method, vol. 1, McGraw-Hill, London, 4th ed., 1989.

DOI: 10.24423/engtrans.472.2004

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