 | | 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
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| S. A. Nazarov, "On the 3D formulation for the Novozhilov criterion for quasi-static fracture," Mech. Solids. 41 (2), 93-100 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
2 |
Pages |
93-100 |
| Title |
On the 3D formulation for the Novozhilov criterion for quasi-static fracture |
| Author(s) |
S. A. Nazarov (St. Petersburg) |
| Abstract |
A priori and a posteriori definitions are proposed for the
Novozhilov criterion for plane tensile cracks in 3D brittle bodies.
A variational-asymptotic model of this criterion is constructed and
studied in the case of an elastic isotropic space. |
| References |
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1991. |
| 2. | E. M. Morozov, "Variational principle in fracture machanics," Doklady
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| 3. | S. Nemat-Nasser, Y. Sumi, and L. M. Keer, "Unstable growth of tension
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pp. 1017-1035, 1980. |
| 4. | S. A. Nazarov, "Derivation of the variational inequality for the shape
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| 5. | S. A. Nazarov and O. P. Polyakova, "On the equivalence of fracture
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| 9. | N. F. Morozov and Yu. V. Petrov, Issues of Dynamics of Fracture of
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| 10. | N. F. Morozov, Yu. V. Petrov, and A. A. Utkin, "On the direction of
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| 13. | M. Bach, S. A. Nazarov, and W. L. Wendland, "Propagation of a penny
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| 15. | S. A. Nazarov, "Interaction of cracks in brittle fracture.
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Mechanics], Vol. 64, No. 3, pp. 484-496, 2000. |
| 16. | S. A. Nazarov, "Local stability and instability of tensile cracks,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 124-129, 1988. |
| 17. | L. G. Kolton, "Slow growth of a system of cracks," Izv. AN SSSR. MTT
[Mechanics of Solids], No. 5, pp. 95-100, 1989. |
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problems [Russian translation], Mir, Moscow, 1972. |
| 19. | I. S. Zakharevich, "On the variation of solutions of
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| 20. | H. Gao and J. R. Rice, "Somewhat circular tensile cracks," Intern. J.
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| 22. | J.-B. Leblond, V. S.-E. Lazarus, and S. Mouchrif, "Crack paths in
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| 23. | L. G. Kolton and S. A. Nazarov, "Variation of the shape of the edge
of a plane locally non-equilibrium tensile crack," Izv. RAN. MTT [Mechanics of
Solids], No. 3, pp. 125-133, 1997. |
| 24. | M. Bach and S. A. Nazarov, "Smoothness properties of solutions to
variational inequalities describing propagation of mode-1 cracks," in Mechanical
Aspects of Boundary Element Method (Palaiseau, 1998), pp. 23-32, Chapman & Hall/CRC,
Boca Raton, 2000. |
| 25. | M. Bach, S. A. Nazarov, and W. L. Wendland, "Stable propagation of a
mode-1 crack in an isotropic elastic space. Comparison of the Irwin and
Griffith approaches," in P. E. Ricci (Editor), Problemi Attuali dell'Analisi
e della Fisica Matematica, pp. 167-189, MM, Editrice, Rome, 2000. |
|
| Received |
09 March 2004 |
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