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IssuesArchive of Issues2011-3pp.425-433

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I.N. Dashevskii, "Model of Symmetric Crack Formation in a Plate and a Wedge under Bending by a Point Indenter," Mech. Solids. 46 (3), 425-433 (2011)
Year 2011 Volume 46 Number 3 Pages 425-433
DOI 10.3103/S0025654411030095
Title Model of Symmetric Crack Formation in a Plate and a Wedge under Bending by a Point Indenter
Author(s) I.N. Dashevskii (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia, dash@ipmnet.ru)
Abstract The energy approach is used to propose a model of brittle fracture of a thin plate (and a wedge) under bending by a point indenter, which permits studying some possible mechanisms determining the number of sectors into which the plate breaks.

Since the energy necessary to form new cracks and the total elastic bending energy of the n triangular sectors-beams arising under bending vary in opposite directions with variation in both the crack length L and n, it follows that the total energy required to form n sectors has a minimum depending on L and n, and it is this minimum that determines the number n of the arising sectors.

In the simplest scheme, the number of developing cracks turns out to be independent of the plate physical-mechanical characteristics, and its thickness and varies from 2 to 4 as the wedge opening angle varies from 0 to .

An analysis is performed and a qualitative interpretation of the obtained results is given. Possible refinements of the proposed model in various directions are discussed.
Keywords crack, crack formation, fracture, bending, plate, wedge, model, indenter
References
1.  R. V. Goldstein and N. M. Osipenko, "Fracture Mechanics and Several Problems of Ice Fracture," in Mechanics and Physics of Ice (Nauka, Moscow, 1983), pp. 65-94 [in Russian].
2.  E. M. Gramuzov, V. A. Zuev, and M. S. Yakovlev, "Several Problems of Ice Fracture by River Ice-Breaker," in Theory of Strength of Ice-Breaking Ship, No. 2 (Izd-vo GPI, Gor'kii, 1980), pp. 4-10 [in Russian].
3.  S. A. Vershinin, "Interaction between Sea Ice Fields and Continental Shelf Structure Footings," in Mechanics and Physics of Ice (Nauka, Moscow, 1983), pp. 38-57 [in Russian].
4.  K. N. Korzhavin, "Physical Picture of Interaction between River Ice Cover and Engineering Structure Footings," in Mechanics and Physics of Ice (Nauka, Moscow, 1983), pp. 135-140 [in Russian].
5.  Yu. P. Doronin and D. E. Kheisin, Sea Ice (Gidrometeoizdat, Leningrad, 1975) [in Russian].
6.  S. A. Vershinin, Interaction between Sea Ice Fields and Continental Shelf Structure Footings, Abstract of Doctoral Dissertation in Technical Sciences (Moscow, 1980) [in Russian].
7.  S. A. Vershinin, Fracture and Deformation of Sea Ice Fields Interacting with Continental Shelf Objects Abstract of Doctoral Dissertation in Mathematics and Physics (Leningrad, 1984) [in Russian].
8.  Yu. A. Dvoichenko, "Ice Field Deformation and Breaking," in Theory and Strength of Ice-Breaking Ship, No. 2 (Izd-vo GPI, Gor'kii, 1980), pp. 38-44.
9.  B. Audoly and S. Neukirch, "Fragmentation of Rods by Cascading Cracks: Why Spaghetti Do not Break in Half," Phys. Rev. Lett. 95 (9), 095505 (1-4) (2005).
10.  Ch. Sykes (Editor), No Ordinary Genius: The Illustrated Richard Feynman, (W. W. Norton, New York, 1994), p. 181.
11.  S. P. Timoshenko and J. M. Gere, Mechanics of Materials (Van Nostrand Reinhold Company, 1972; Mir, Moscow, 1976).
12.  A. R. Rzhanitsyn, Structural Mechanics (Vysshaya Shkola, Moscow, 1991) [in Russian].
13.  Yu. N. Rabotnov, Mechanics of Deformable Solids (Nauka, Moscow, 1979) [in Russian].
14.  G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, Reference Book in Strength of Materials (Naukova Dumka, Kiev, 1975) [in Russian].
15.  V. E. Kuz'michev, Physics Laws and Formulas, Reference book (Naukova Dumka, Kiev, 1989) [in Russian].
16.  G. P. Cherepanov, Mechanics of Brittle Failure (Nauka, Moscow, 1974) [in Russian].
Received 25 December 2008
Link to Fulltext http://www.springerlink.com/content/48r8642773057647/
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