Fracture of River Ice Covers by River Waves
Publication: Journal of Cold Regions Engineering
Volume 9, Issue 1
Abstract
The stresses induced in ice covers by river waves are investigated as a possible mechanism for causing transverse cracks during breakup. The maximum stress levels that river waves can cause in the ice cover are determined over the entire spectrum of waves that may be present at breakup. The ice cover is analyzed as a continuous elastic plate. For a given wave amplitude, the amplitude of ice-cover bending stress has two possible maximums: one when the wavelength is equal to 2πl (where l is the characteristic length of the ice cover), and a second when the celerity of the propagating wave equals the celerity of a free (homogeneous) wave of the same wavelength. The present calculations indicate that the celerities of propagating waves are always less than the celerity of free waves of the same wavelength, and, as a result, only the first maximum is possible. The global minimum wave amplitude required to cause cracks is therefore found at a wavelength of 2πl. At this wavelength, a simple expression describing the minimum wave amplitude causing cracks can be derived.
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References
1.
Abdel-Zahar, A. K., Davar, K. S., and Dawe, J. L. (1989). “The initiation of premature breakup of river ice cover: existing methodologies and approaches to integral analysis.”Proc., Eastern Snow Conf., Atmospheric and Environment Services, Environment Canada, Downsview, Ontario, Canada, 59–73.
2.
Abdel-Zahar, A. K., Davar, K. S., Dawe, J. L., and Baltaos, S. (1992). “Experimental investigations of river ice cover cracking.”Proc., IAHR Ice Symp., Banff, Alberta, 90–103.
3.
Ashton, G. (1986). River and lake ice engineering . Water Resources Publications, Littleton, Colo.
4.
Beltaos, S.(1981). “Field studies on the response of floating ice sheets to moving loads.”Can. J. Civ. Engrg., 8(1), 1–8.
5.
Beltaos, S.(1984). “A conceptual model of river ice breakup.”Can. J. Civ. Engrg., 11(3), 516–529.
6.
Beltaos, S. (1985). “Initial fracture patterns of river ice cover.”Contribution No. 85–139, Natural Water Research Institute, Burlington, Ontario, Canada.
7.
Beltaos, S.(1990). “Fracture and breakup of river ice cover.”Can. J. Civ. Engrg., 17(2), 173–183.
8.
Beltaos, S., and Burrell, B. C. (1990). “Restigouche river ice project.”Proc., 1990 Eastern Snow Conf., U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H., 159–173.
9.
Billfalk, L. (1981). “Formation of shore cracks in ice covers due to changes in water levels.”Proc., IAHR Int. Symp. on Ice, Quebec City, Quebec, Vol. II, 650–660.
10.
Billfalk, L. (1982). “Breakup of solid ice covers due to rapid water level variations.”CRREL Rep. 82-3, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H.
11.
Daly, S.(1993). “Wave propagation in ice-covered channels.”J. Hydr. Engrg., ASCE, 119(8), 895–910.
12.
Daly, S.(1994). “Closure to wave propagation in ice-covered channels.”J. Hydr. Engrg., ASCE, 120(12), 1478–1480.
13.
Demuth, M. N., and Prowse, T. D. (1990). “The role of natural flaws and variability in ice-cover fracture during river-ice break-up.”Proc. Eastern Snow Conf., U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H., 213–218.
14.
Ferrick, M. G., and Mulherin, N. (1989). “Framework for control of dynamic ice breakup by river regulations.”CRREL Rep. 89-12, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H.
15.
Frankenstein, G. (1966). “Strength of ice sheets.”Proc., Conf. on Ice Pressure against Struct., National Research Council, Canada, 79–87.
16.
Gerard, R., and Flato, G. (1988). “Some thoughts on breakup and ice jams.”Proc., Can. Workshop on River Ice, Edmonton, Alberta, Canada.
17.
Gow, A. J., Ueda, H. T., and Ricard, J. (1978). “Flexural strength of ice grown on temperature lakes.”CRREL Rep. 78-9, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H.
18.
Kerr, A. D.(1981). “Continuously supported beams and plates subjected to moving loads—a survey.”Solid Mech. Archives, 6(4), 401–449.
19.
Nevel, D. E. (1970). “Moving loads on a floating ice sheet.”Res. Rep. 261, U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N.H.
20.
Parsons, B., and Lal, M.(1991). “Distribution parameters for flexural strength of ice.”Cold Regions Sci. and Technol., 19(3), 285–293.
21.
Prowse, T. D.(1986). “Ice jam characteristics, Liard-Mackenzie rivers confluence.”Can. J. Civ. Engrg., 13(6), 653–665.
22.
Prowse, T. D., Beltaos, S., Burrell, B. C., Tsang, P., and Dublin, J. (1989). “Ice breakup on the Nashwaak River, New Brunswick.”Proc., Eastern Snow Conf., Quebec City, Quebec, Canada, 142–155.
23.
Prowse, T. D., and Demuth, M. N. (1989). “Failure modes observed during river ice breakup.”Proc., Eastern Snow Conf., Atmospheric and Environment Services, Environment Canada, Downsview, Ontario, Canada, 237–241.
24.
Prowse, T. D., Demuth, M. N., and Onclin, C. R. (1988). “Using the borehole jack to determine changes in river ice strength.”Proc., 5th Workshop on Hydr. of River Ice/Ice Jams, Manitoba, Water Resources Board, Winnipeg, Manitoba, Canada, 283–303.
25.
Sanderson, T. J. O. (1988). Ice mechanics: risks to offshore structures . Graham and Trotman. Boston, Mass.
26.
Steffler, R. M., and Hicks, E. F. (1994). “Discussion of `Wave propagation in ice-covered channels.”' J. Hydr. Engrg., ASCE, 120(12), 1478–1480.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Mar 1, 1995
Published in print: Mar 1995
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