Abstract
The paper explores the scaling of velocity effects in ice-structure interaction, and attempts to link it to the underlying mechanics through dimensional analysis. It first examines the well-known example of flow in pipes, and uses that analogy to emphasise that too much should not be expected of scaling, and that any attempt to find a universal scaling law is likely to be doomed to disappointment. It then considers in turn the scaling of velocity effects related to inertia and gravity, to creep, and to structural compliance.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Atkins, A.G. and Caddell, R.M. 1974. The laws of similitude and crack propagation. Int. J. of Mechanical Sciences, 16, 541–548.
Atkins, A.G. and Mai, Y-W. 1985. Elastic and plastic fracture. Ellis Horwood .
Birkhoff, G. 1960. Hydrodynamics: a study in logic, fact and similitude. Princeton University Press.
Blevins, R. 1977 Flow-induced vibrations. Van Nostrand Reinhold (1977).
Calladine, C.R. 1983. An investigation of impact scaling theory. Structural Crashworthiness (ed. N. Jones and T. Wierzbicki), 169–174.
Chung, H. and Fox, C. Calculation of wave-ice interaction using the Wiener-Hopf technique. To appear.
Dempsey, J.P., Palmer, A.C. and Sodhi, D.S. 2001. High pressure ice zone formation during compressive ice failure. In press. Engineering Fracture Mechanics.
Fox, C. and Squire, V.A. On the oblique reflexion and transmission of ocean waves at shore fast sea ice. 1974. Phil. Trans. R. Soc. of London, 347, 185–218.
Fox, C. Scaling laws for flexural waves in floating ice. This volume.
Fox, C. and Chung, H. Harmonic deflections of an infinite floating plate. To appear.
Johnston, I.E. 2000. Ice still know what you did last summer: a review and model of velocity effects on ice-structure interaction. Unpublished MEng dissertation. Cambridge University.
Langhaar, H.L. 1951. Dimensional analysis and theory of models. Chapman &; Hall.
Naudascher, E. and Rockwell, D. 1994. Flow-induced vibrations: an engineering guide, A.A. Balkema.
Palmer, A.C., Goodman, D.J., Ashby, M.F., Evans, A.G., Hutchinson, J.W. and Ponter, A.R.S. 1983. Fracture and its role in determining ice forces on offshore structures, Ann. Glaciology, 4, 216–221.
Palmer, A.C. 1991a. Centrifuge modeling of ice and brittle materials. Canadian Geotechnical J., 28, 896–898.
Palmer, A.C. 1991b. Ice forces and ice crushing. Proceedings, Eleventh International Conference on Port and Ocean Engineering under Arctic Conditions, St. John’s, Newfoundland, 1, 11–24.
Ponter, A.R.S, Palmer, A.C., Goodman, D.J., Ashby, M.F., Evans, A.G. and Hutchinson, J.W. 1983. The force exerted by a moving ice sheet on an offshore structure: I: the creep mode, Cold Regions Science and Technology, 8, 109–118.
Sanderson, T.J.O. 1988. Ice mechanics. Graham &; Trotman.
Sodhi, D.S. 2001. Crushing failure during ice-structure interaction. In press. Engineering Fracture Mechanics.
Timco, G.W. 1979. The mechanical and morphological properties of doped ice. Proceedings, Fifth Int. Conf. on Port and Ocean Engineering under Arctic Conditions, Trondheim, 1, 719–739.
Woisin, C. 1968. Eine Untersuchung der Ähnlichkeitsgesetze bei Stossschäden, besonders Schiffskollisionen und Kollisionsmodeliversuchen. Schiff und Hafen, 11, 740–747.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Palmer, A., Johnston, I. (2001). Ice Velocity Effects and Ice Force Scaling. In: Dempsey, J.P., Shen, H.H. (eds) IUTAM Symposium on Scaling Laws in Ice Mechanics and Ice Dynamics. Solid Mechanics and Its Applications, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9735-7_10
Download citation
DOI: https://doi.org/10.1007/978-94-015-9735-7_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5890-4
Online ISBN: 978-94-015-9735-7
eBook Packages: Springer Book Archive