| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
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Total articles in the database: | | 12804 |
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In English (Mech. Solids): | | 4760 |
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R.V. Goldstein and N.M. Osipenko, "Estimates of the Effective Compressive Strength," Mech. Solids. 52 (4), 417-428 (2017) |
Year |
2017 |
Volume |
52 |
Number |
4 |
Pages |
417-428 |
DOI |
10.3103/S0025654417040082 |
Title |
Estimates of the Effective Compressive Strength |
Author(s) |
R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
N.M. Osipenko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, osipnm@mail.ru) |
Abstract |
One problem encountered when determining the effective mechanical properties of large-scale objects, which requires calculating their strength in processes of mechanical interaction with other objects, is related to the possible variability in their local properties including those due to the action of external physical factors. Such problems comprise the determination of the effective strength of bodies one of whose dimensions (thickness) is significantly less than the others and whose properties and/or composition can vary with the thickness. A method for estimating the effective strength of such bodies is proposed and illustrated with example of ice cover strength under longitudinal compression with regard to a partial loss of the ice bearing capacity in deformation. The role of failure localization processes is shown. It is demonstrated that the proposed approach can be used in other problems of fracture mechanics. |
Keywords |
sea ice cover, strength, fracture, porosity, compaction |
References |
1. | G. W. Timko and R. M. W. Frederking,
"Compressive Strength of Ice Sheets,"
Cold Reg. Sci. Techn.
17, 227-240 (1990). |
2. | V. P. Afanasiev and V. N. Smirnov,
"Methods for Calculating the Full-Scale Strength of Ice,"
Aktual. Probl. Sovrem. Nauki,
No. 6, 244-248 (2010). |
3. | E. M. Schulson,
"The Brittle Compressive Fracture of Ice,"
Acta Metal. Mater.
38 (10), 1963-1976 (1990). |
4. | R. V. Gol'dshtein and N. M. Osipenko, "Some aspects of strength in
sea ice mechanic," Fiz. Mezomekh. 17 (6), 59-69 (2014)
[Phys. Mesomech. (Engl. Transl.) 18 (2), 139-148 (2015)]. |
5. | A. S. Vavakin and R. L. Salganik,
"On Effective Characteristics of Inhomogeneous Media with Isolated Inhomogeneities,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 65-75 (1975)
[Mech. Solids (Engl. Transl.)]. |
6. | V. V. Bogorodskii and V. P. Gavrilo,
Ice
(Gidrometeoizdat, Leningrad, 1980)
[in Russian]. |
7. | G. F. N. Cox and W. F. Weeks,
"Profile Properties of Undeformed First-Year Sea Ice,"
in CRREL Report 88-13
(Hanover, New Hampshire, 1988). |
8. | S. K. Singh and I. J. Jordaan,
"Constitutive Behavior of Crushed Ice,"
Int. J. Fract.
97, 171-187 (1999). |
9. | B. Haimson and H. Lee,
"Borehole Breakouts and Compaction Bands in Two High-Porosity Sandstones,"
Int. J. Rock. Mech. Min. Sci.
41, 287-301 (2004). |
10. | P. N. Mollema and M. A. Antonellini,
"Compaction Bands: A Structural Analog for Antimode I Crack in Aeolian Sandstone,"
Tectonophys.
267, 209-228 (1996). |
11. | G. P. Cherepanov,
Mechanics of Brittle Failure
(Nauka, Moscow, 1974)
[in Russian]. |
12. | B. Haimson,
"Borehole Breakouts in Berea Sandstone Reveal a New Fracture,"
Pure Appl. Geophys.
160, 813-831 (2003). |
13. | R. V. Gol'dshtein and N. M. Osipenko, "Fracture Structures in
Intensive Compression," in Problems of Mechanics of
Deformable Solids and Rocks
(Fizmatilit, Moscow, 2006),
pp. 152-166.
[in Russian]. |
14. | J. P. Dempsey, A. C. Palmer, and D. S. Sodhi,
"High Pressure Zone Formation during Compressive Ice Failure,"
Engng Fract. Mech.
68, 1961-1974 (2001). |
15. | R. V. Gol'dshtein and N. M. Osipenko, "On an Ice Failure Model
with a Large Contact Region," Izv. Ross. Akad. Nauk. Mekh. Tverd.
Tela, No. 1, 137-153 (2011) [Mech. Solids (Engl. Transl.)
46 (1), 109-122 (2011)]. |
16. | R. V. Gol'dshtein and N. M. Osipenko, "Ice Failure Mechanics and
Its Applications," Vestnik Novosib. Univ. Ser. Mat. Mekh. Inform.,
No. 4, 42-48 (2012). |
17. | R. V. Gol'dshtein and N. M. Osipenko, "Melting Localization Model
under Conditions Corresponding to the Lithosphere and Upper Mantle
Interface," in Actual Problems of Mechanics
(Nauka, Moscow, 2009), pp. 439-455
[in Russian]. |
18. | D. M. Cole,
"The Microstructure of Ice and Its Influence on Mechanical Properties,"
Engng Fract. Mech,
68, 1797-1822 (2001). |
19. | K. Hellan,
Introduction to Fracture Mechanics
(McGraw-Hill, New York, 1984; Mir, Moscow, 1988). |
20. | Y. Murakami (Editor),
Stress Intensity Factors Handbook
(Pergamon Press, Oxford, 1987; Mir, Moscow, 1990). |
21. | I. J. Jordan,
"Mechanics of Ice Structure Interaction,"
Engng Fract. Mech.
68, 1923-1960 (2001). |
22. | D. Sodhi,
"Ice Structure Interaction with Segmented Indenters,"
in Proc. of IAHR Ice Symposium, Banff, Canada
(1992), pp. 909-929. |
23. | V. M. Finkel, V. A. Fedorov, and A. P. Korolev,
Crystal Fracture in Mechanical Twinning
(Sev.-Kavk. Nauch. Tsentr Vyssh. Sh., Izdat. Rostov Univ., Rostov-on-Don, 1990)
[in Russian]. |
24. | V. M. Finkel,
"On Specific Characteristics of Steel Fracture in Quenching
and the Possibilities of Channel Formation in It,"
Fiz. Mezomekh.
9 (4), 31-48 (2006). |
|
Received |
22 January 2017 |
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