Continuing the analysis of fracture size effect in Part I, which was focused on the maximum force in vertical penetration of ice, Part II tackles the problem maximum force that can be applied by a moving ice plate on an obstacle presented by a fixed structure. Based on an asymptotic approach, approximate solutions for are obtained for the size effects of ice thickness, effective structure diameter and, in the case of a finite ice floe, the size of the floe.

1.
Ashton, G., ed., 1986, River and Lake Ice Engineering, Water Resources Publications.
2.
Atkins
,
A. G.
,
1975
, “
Icebreaking Modeling
,”
J. Ship Res.
,
19
, No.
1
, pp.
40
43
.
3.
Goldstein
,
R. V.
, and
Osipenko
,
N. M.
,
1993
, “
Fracture Mechanics in Modeling of Icebreaking Capability of ships
,”
J. of Cold Regions Engrg. ASCE
,
7
, No.
2
, pp.
33
43
.
4.
Lavrov
,
V. V.
,
1958
, “
The Nature of the Scale Effect in Ice and the Ice Sheet
,”
Sov. Phys. Dokl.
,
3
, pp.
934
937
(transl. from Russian).
5.
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. Glaciol.
,
4
, pp.
216
221
.
6.
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. 1. The Creep Mode
,”
Cold Regions Sci. & Tech.
,
8
, No.
2
, pp.
109
118
.
7.
Slepyan
,
L. I.
,
1990
, “
Modeling of Fracture of Sheet Ice
,”
Mech. Solids
,
155
161
.
8.
Bazˇant, Z. P., and Cedolin, L., 1991, Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories, Oxford University Press, New York.
9.
Sedov, L. I., 1959, Similarity and Dimensional Methods in Mechanics, Academic Press, San Diego CA.
10.
Barenblatt, G. I., 1987, Dimensional Analysis, Gordon and Breach, New York.
11.
Barenblatt, G. I., 1979, Similarity, Self-Similarity and Intermediate Asymptotics, Consultants Bureau (Plenum Press), New York, (transl. from Russian original, 1978).
12.
Tada, H., Paris, P. C., and Irwin, J. K., 1985, The Stress Analysis of Cracks Handbook, 2nd Ed., Paris Productions, St. Louis, MO.
13.
Bazˇant, Z. P., and Planas, J. 1998, Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC, Boca Raton, FL.
14.
Bazˇant
,
Z. P.
, and
Chen
,
E.-P.
,
1997
, “
Scaling of Structural Failure
,”
Appl. Mech. Rev.
,
50
, No.
10
, pp.
593
627
.
15.
Schulson
,
E. M.
,
1990
, “
The Brittle Compressive Fracture of Ice
,”
Acta Metall. Mater.
,
38
, No.
10
, pp.
1963
1976
.
16.
Schulson
,
E. M.
,
2000
, “
Brittle Failure of Ice
,”
Eng. Fract. Mech.
,
68
, No.
17–18
, pp.
1839
1887
.
17.
Bazˇant
,
Z. P.
, and
Xiang
,
Yuyin
,
1997
, “
Size Effect in Compression Fracture: Splitting Crack Band Propagation
,”
J. Eng. Mech.
,
123
, No.
2
, pp.
162
172
.
18.
Bazˇant
,
Z. P.
,
1984
, “
Size Effect in Blunt Fracture: Concrete, Rock, and Metal
,”
J. Eng. Mech.
,
110
, pp.
518
535
.
19.
Dempsey
,
J. P.
,
Adamson
,
R. M.
, and
Mulmule
,
S. V.
,
1999
, “
Scale Effects on the in situ Tensile Strength and Fracture of Ice: Part II. First-Year Sea Ice at Resolute, N. W. T.
,”
Int. J. Fract.
,
95
, pp.
346
378
.
20.
Mulmule, S. V., Dempsey, J. P., and Adamson, R. M., 1995, “Large-Scale in-situ Ice Fracture Experiments—Part II: Modeling Efforts, in Ice Mechanics—1995,” ASME Joint Applied Mechanics and Materials Summer Conference, Vol. AMD - MD 1995, Los Angeles, June 28–30.
21.
Sanderson, T. J. O., 1988, Ice Mechanics: Risks to Offshore Structures, Graham and Trotman Ltd., London.
22.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity. 3rd Ed., McGraw-Hill, New York, p. 110.
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