Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2006-2pp.93-100

Archive of Issues

Total articles in the database: 12804
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8044
In English (Mech. Solids): 4760

<< Previous article | Volume 41, Issue 2 / 2006 | Next article >>
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
1.  S. A. Nazarov, "On the spatial effects near the crack tip in a thin plate," PMM [Applied Mathematics and Mechanics], Vol. 55, No. 3, pp. 500-510, 1991.
2.  E. M. Morozov, "Variational principle in fracture machanics," Doklady AN SSSR, Vol. 184, No. 6, pp. 1308-1311, 1969.
3.  S. Nemat-Nasser, Y. Sumi, and L. M. Keer, "Unstable growth of tension cracks in brittle solids: stable and unstable bifurcations, snap-through and imperfection sensitivity," Intern. J. Solids Structures, Vol. 16, No. 11, pp. 1017-1035, 1980.
4.  S. A. Nazarov, "Derivation of the variational inequality for the shape of small increment of the tensile crack," Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 152-160, 1989.
5.  S. A. Nazarov and O. P. Polyakova, "On the equivalence of fracture criteria for a tensile crack in an elastic space," Izv. RAN. MTT [Mechanics of Solids], No. 2, pp. 101-113, 1992.
6.  V. V. Novozhilov, "To the foundations of the theory of equilibrium cracks in elastic solids," PMM [Applied Mathematics and Mechanics], Vol. 33, No. 5, pp. 797-813, 1969.
7.  N. F. Morozov, "Investigation of the fracture load for a region weakened by a crater-shaped notch," Doklady AN SSSR, Vol. 253, No. 6, pp. 1336-1338, 1980.
8.  N. F. Morozov and V. V. Novozhilov, "Some issues of structural fracture mechanics," Fiz. Khim. Mekhanika Materialov, Vol. 24, No. 1, pp. 21-26, 1988.
9.  N. F. Morozov and Yu. V. Petrov, Issues of Dynamics of Fracture of Solids [in Russian], Izd-vo SPbGU, St. Petersburg, 1997.
10.  N. F. Morozov, Yu. V. Petrov, and A. A. Utkin, "On the direction of the crack growth in the case of an asymmetric impact," Doklady RAN, Vol. 351, No. 6, pp. 763-765, 1996.
11.  L. I. Sedov, Continuum Mechanics, Volume 2 [in Russian], Nauka, Moscow, 1976.
12.  H. F. Bueckner, "Weight functins and fundamental fields for the penny-shaped and the half-plane crack in three-dimensional space," Intern. J. Solids Structures, Vol. 23, No. 1, pp. 57-93, 1987.
13.  M. Bach, S. A. Nazarov, and W. L. Wendland, "Propagation of a penny shaped crack under the Irwin criterion," in Analysis, Numerics, and Applications of Differential and Integral Equations. Pitman Research Notes in Math. Ser. 379, pp. 17-21, Longman, Harlow, Essex, 1998.
14.  Yu. Murakami (Editor), A Handbook on Stress Intensity Factors [Russian translation], Mir, Moscow, 1990.
15.  S. A. Nazarov, "Interaction of cracks in brittle fracture. Force-based and energy-based approaches," PMM [Applied Mathematics and 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.
18.  J.-L. Lions, Some Methods for Solving Nonlinear Boundary-value problems [Russian translation], Mir, Moscow, 1972.
19.  I. S. Zakharevich, "On the variation of solutions of integrodifferential equations of mixed problems of elasticity under the variation of the domain," PMM [Applied Mathematics and Mechanics], Vol. 49, No. 6, pp. 961-968, 1985.
20.  H. Gao and J. R. Rice, "Somewhat circular tensile cracks," Intern. J. Fracture, Vol. 33, No. 3, pp. 155-174, 1987.
21.  J. R. Rice, "First-order variation in ilastic fields due to variation in location of a planar crack front," Trans. ASME. J. Appl. Mech., Vol. 52, No. 3, pp. 571-579, 1985.
22.  J.-B. Leblond, V. S.-E. Lazarus, and S. Mouchrif, "Crack paths in three-dimensional elastic solids. II: Three-term expansion of the stress intensity factors-applications and perspectives," Intern. J. Solids Structures, Vol. 36, No. 1, pp. 105-142, 1999.
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
<< Previous article | Volume 41, Issue 2 / 2006 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100