 | | 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 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| N. N. Belov, P. V. Dzyuba, O. V. Kabantsev, D. G. Kopanitsa, A. A. Yugov, and N. T. Yugov, "Mathematical modeling of dynamic fracture processes in concrete," Mech. Solids. 43 (2), 269-276 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
2 |
Pages |
269-276 |
| DOI |
10.3103/S0025654408020131 |
| Title |
Mathematical modeling of dynamic fracture processes in concrete |
| Author(s) |
N. N. Belov (Tomsk State University of Architecture and Civil Engineering, Solyanaya pl. 2, Tomsk, 634003, Russia)
P. V. Dzyuba (Tomsk State University of Architecture and Civil Engineering, Solyanaya pl. 2, Tomsk, 634003, Russia)
O. V. Kabantsev (Tomsk State University of Architecture and Civil Engineering, Solyanaya pl. 2, Tomsk, 634003, Russia)
D. G. Kopanitsa (Tomsk State University of Architecture and Civil Engineering, Solyanaya pl. 2, Tomsk, 634003, Russia)
A. A. Yugov (Tomsk State University of Architecture and Civil Engineering, Solyanaya pl. 2, Tomsk, 634003, Russia, YugAlex@mail.ru)
N. T. Yugov (Tomsk State University of Control Systems and Radioelectronics, Lenina 40, Tomsk, 634050, Russia) |
| Abstract |
We solve the problem on the collision of steel cylindrical hammers in the velocity range up to 800 m/s with rectilinear concrete slabs. We consider the following two approaches to calculating concrete fracture under impact loading: the phenomenological approach in which the strength criteria are expressed in terms of invariant constraints imposed on the critical macrocharacteristics of the process, i.e., stresses and strains, and the approach in which the fracture is considered as the process of formation, growth, and confluence of microdefects under the action of applied stresses. We compare the results of mathematical modeling with the experimental data concerning the penetration depth and the exterior flushing value. In the framework of the proposed model of dynamic fracture in concrete, we calculate the strength of a concrete tetrahedral prism under the action of longitudinal loads. We obtain a satisfactory agreement of the results of mathematical modeling with experimental results. |
| References |
| 1. | N. N. Belov, D. G. Kopanitsa, O. K. Kumpyak, and N. T. Yugov,
Calculation of Reinforced-Concrete Structures
under Explosive and Impact Loading
(STT, Tomsk, 2004)
[in Russian]. |
| 2. | N. N. Belov, N. T. Yugov, S. A. Afanasieva, et al.,
"Processes of Deforming and Fracture of Brittle Materials,"
Mekh. Kompos. Mat. Konstr.
7 (2), 131-142 (2001). |
| 3. | N. N. Belov, N. T. Yugov, D. G. Kopanitsa, et al., "Study of
Dynamic Fracture Processes in Fine-Grained Concrete by the Method
of Computer Modeling," Vestnik TGASU, No. 1, 14-19 (2001). |
| 4. | S. A. Afanas'eva, N. N. Belov, and N. T. Yugov, "The Penetration
of Cylindrical Strikes through Obstacles Made of Concrete and Sandy
Ground," Dokl. Akad. Nauk 387 (5), 624-626 (2002) [Dokl.
Phys. (Engl. Transl.) 47 (12), 876-879 (2002)]. |
| 5. | N. N. Belov, N. T. Yugov, S. A. Afanas'eva, et al., "Penetration
of Steel Hammers into Barriers Made of Concrete and Sand Ground,"
Vestnik TGASU, No. 1, 5-12 (2003). |
| 6. | N. N. Belov, N. T. Yugov, D. G. Kopanitsa, et al., "Computation of
Strength of Ferroconcrete Slabs in High-Speed Impact," Vestnik
TGASU, No. 1, 71-80 (2004). |
| 7. | G. A. Geniev and V. N. Kissyuk, "To the Problem of Generalization
of the Theory of Concrete Strength," Beton Zhelezobeton, No. 2,
16-29 (1965). |
| 8. | N. N. Belov, V. N. Demidov, L. V. Efremova, et al.,
"Computer Modeling of the Dynamics of High-Velocity Impact
and Accompanying Physical Phenomena,"
Izv. Vyssh. Uchebn. Zaved. Fiz.,
No. 8, 5-48 (1992)
[Russ. Phys. J. (Engl. Transl.)
35 (8), 690-723 (1992)]. |
| 9. | N. N. Belov, Yu. A. Biryukov, A. T. Roslyak, et al.,
"Mechanism of the Crushing of Particles for Production of Submicron
Powders of Refractory Compounds in a Pneumatic Circulation Apparatus,"
Dokl. Akad. Nauk
397 (3), 337-341 (2004)
[Dokl. Phys. (Engl. Transl.)
49 (7), 436-439 (2004)]. |
| 10. | S. A. Afanas'eva, N. N. Belov, V. F. Tolkachev, et al., "Specific
Features of Shock-Wave Deformation of Al2O3 Porous Ceramics," Dokl. Akad. Nauk 368 (4), 477-479 (1999) [Dokl. Phys.
(Engl. Transl.) 44 (10), 683-685 (1999)]. |
| 11. | L. Seaman, D. R. Gurran, and D. A. Shockey, "Computational Models
for Ductile and Brittle Fracture," J. Appl. Phys. 47
(11), 4814-4826 (1976). |
| 12. | R. L. Salganik,
"Mechanics of Bodies with Many Cracks,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 149-158 (1973)
[Mech. Solids (Engl. Transl.)
8 (4) 135-143 (1973)]. |
| 13. | A. L. Isaev, "Influence of Concrete Reinforcement on the Results
of Dynamic Loading by Penetrating Bodies," in Extremal
State of Material. Detonation. Shock Waves. Proc. Int. Conf. "III
Kharitonov Scientific Readings" (VNIIEF, Sarov, 2002),
pp. 150-156
[in Russian]. |
|
| Received |
21 April 2005 |
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