Fracture Mechanics in Modeling of Icebreaking Capability of Ships
Publication: Journal of Cold Regions Engineering
Volume 7, Issue 2
Abstract
The basis of the present paper is the approach suggested previously by the writers. By matching inner and outer solutions, a separate modeling of the deformation and fracture processes in stressed ice covers, taking into account the difference in relevant characteristic geometric and force parameters, is accomplished. In the outer problem, the scale is determined by the channel length; in the inner, by the size of the active fracture zone near the channel tip. A similarity criterion is introduced having the form of a characteristic length that incorporates the fracture toughness. Using this parameter, it is possible to formulate relations for critical loads or dimensions of fracture pieces that are formed in the process of icebreaker—ice‐cover interaction. These relations may be derived separately for the inner problem, taking into account matching conditions with the outer problem. The characteristic form of the relation is shown for the case of fracture near an icebreaker hull due to cylindrical bending, taking into account the velocity effect of icebreaker motion. This paper presents a system for choosing modeling parameters for ice fracture using fracture toughness and strength dependencies, salinity, and temperature data for model ice. The data were collected from the ice basin of the Russian Arctic and Antarctic Scientific Research Institute.
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References
1.
Atkins, A. G. (1975). “Icebreaking Modelling.” J. of Ship Res., 19, 40–43.
2.
Barenblatt, G. I. (1964). “On some general concepts of the mathematical theory of brittle fracture.” Prik. mat. i mekh., 28, 630–643.
3.
Bochkarev, L. I. (1988). “Stress state in the vicinity of the tip of an icebroken channel under ice cover compression.” III Vsesojuznaja konf. po mekh. i phys. r'dee (Abstracts, Third All‐Union Conf. Mech. Phys. of Ice). Moscow, Russia, 20 (in Russian).
4.
Brown, W. F., and Srawley, J. E. (1967). “Plane strain crack toughness testing of high strength metallic materials.” ASTM STP 410. American Society for Testing and Materials, Philadelphia, Pa.
5.
Cherepanov, G. P. (1979). Mechanics of brittle fracture. McGraw‐Hill, New York, N.Y.
6.
Duwez, P. E., Clark, D. S., and Bohnenblust, H. F. (1950). “The behavior of long beams under impact loading.” J. Appl. Mech., 17, 27–34.
7.
Edwards, R. Y. (1980). “Modelling the interaction between ice and ships.” Physics and mechanics of ice, Springer‐Verlag, Berlin, Germany 60–81.
8.
Gold, L. W., and Sinha, N. K. (1980). “The reological behavior of ice at small strains.” Physics and mechanics of ice, Springer‐Verlag, Berlin, 117–128.
9.
Goldstein, R. V., and Vainshelbaum, V. M. (1976). “Material scale length as a measure of fracture toughness in fracture mechanics of plastic materials.” Preprint N77, Institute for Problems in Mechanics, Russian Academy of Sciences (in Russian); an English version of this paper appeared in the Int. J. Fract., 14, 185–201.
10.
Goldstein, R. V., and Osipenko, N. M. (1983a). “Fracture mechanics and some questions of ice fracture.” Mekhanika i Physica l'da (Proc. First All‐Union Conf. Mech. Phys. of Ice), Nauka, Moscow, 31–62 (in Russian).
11.
Goldstein, R. V., and Osipenko, N. M. (1983b). “Some aspects of fracture mechanics of ice cover.” Proc. 7th Int. Conf. on Port and Ocean Eng. under Arctic Conditions (POAC '83), Vol. 3, Helsinki, Finland, 2132–2143.
12.
Goldstein, R. V., and Osipenko, N. M. (1985). “Fracture toughness and breaking of ice cover with icebreakers.” Proc. Arctic and Antarctic Sci. Res. Inst. (USSR), 391, 137–158 (in Russian).
13.
Goldstein, R. V., and Osipenko, N. M. (1986). “Ice fracture mechanics and some of its applications.” Proc. Int. Offshore Nav. Conf. (POLARTECH 86), Vol. 1, 197–210.
14.
Goldstein, R. V., and Osipenko, N. M. (1988). “On a model of ice cover fracture.” III Vsesojuznaja konf. po mekh. i phys. l'da (Abstracts, Third All‐Union Conf. Mech. Phys. of Ice), Moscow, 26–27 (in Russian).
15.
Goldstein, R. V., and Osipenko, N. M. (1990). “Non‐local interaction and fracture at low speed impact.” Preprint No. 435. Institute for Problems in Mechanics, Academy of Sciences, Moscow, Russia (in Russian).
16.
Irwin, G. R., and Paris, P. C. (1971). “Fundamentals aspects of crack growth and fracture.” Fracture III, H. Liebowitz, ed., Academic Press, New York, N.Y., pp. 2–47.
17.
Kashteljan, V. I., Poznyak, I. I., and Ryvlin, A. Y. (1968). “Resistance of ice to the motion of ships.” Sudostroenie, St. Petersburg, Russia (in Russian).
18.
Ritter, I. C. (1977). “A modified thickness criterion for fracture toughness testing.” Engrg. Fract. Mech., 9, 529–540.
19.
Sedov, L. I. (1959). Similarity and dimensional methods in mechanics. Academic Press, New York, N.Y.
Information & Authors
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Published In
Journal of Cold Regions Engineering
Volume 7 • Issue 2 • June 1993
Pages: 33 - 44
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Apr 5, 1991
Published online: Jun 1, 1993
Published in print: Jun 1993
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