 | | 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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| A.M. Lin'kov, "Loss of Stability, Characteristic Length, and Novozhilov-Neuber Criterion in Fracture Mechanics," Mech. Solids. 45 (6), 844-855 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
6 |
Pages |
844-855 |
| DOI |
10.3103/S0025654410060087 |
| Title |
Loss of Stability, Characteristic Length, and Novozhilov-Neuber Criterion in Fracture Mechanics |
| Author(s) |
A.M. Lin'kov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, V.O., St. Petersburg, 199178 Russia, linkoval@hotmail.com) |
| Abstract |
The present paper presents a summary of results in fracture mechanics obtained using the fundamental propositions put forward by V. V. Novozhilov in 1969. Namely, fracture is treated as loss of stability, the role of a structural parameter having the dimension of length is emphasized, and the importance of the Novozhilov-Neuber force criterion is stressed; this criterion allows obtaining simple and far-reaching generalizations. The main attention is paid to the results obtained by the author either in collaboration with Professor Novozhilov or as a result of close communication with him for almost two decades. The force treatment of the strict stability condition, which implies using a linear softening in the crack tip region, and the estimate of the maximal speed of crack propagation, based on a structural-time criterion, are performed for the first time. |
| Keywords |
fracture, crack, instability, linear softening, structure parameter |
| References |
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| 7. | A. M. Lin'kov and M. A. Tleuzhanov,
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| 21. | A. M. Lin'kov,
"Key-Note Address: New Geomechanical Approaches to Develop Quantitative Seismicity,"
in Proc. 4th Int. Symp. "Rockbursts and Seismicity in Mines",
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(Balkema, Rotterdam, 1997),
pp. 151-166. |
| 22. | A. M. Lin'kov,
"Key-Note Lecture: Integration of Numerical Modeling and Seismic Monitoring:
General Theory and First Steps,"
in Proc. Int. Conf. "New Development in Rock Mechanics,
Ed. by Yunmei Lim (Rinton Press, New York, 2002),
pp. 259-264. |
| 23. | A. M. Lin'kov,
"Numerical Modeling of Seismic and Aseismic Events in Geomechanics,"
Fiz.-Tekhn. Probl. Razrab. Polez. Iskopaemykh, No. 1, 19-33 (2005). |
| 24. | A. M. Linkov,
"On Numerical Modeling of Seismic and Aseismic Events in 3D Problems of Mechanics,"
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| 25. | A. M. Linkov,
Boundary Integral Equations in Elasticity Theory
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| 26. | A. A. Dobroskok, A. Ghassemi, and A. M. Linkov,
"Extended Structural Criterion for Numerical Simulation of Crack Propagation under Compressive Loads,"
Int. J. Fract. 133 (3), 223-246 (2005). |
| 27. | A. A. Dobroskok, A. Ghassemi, and A. M. Linkov,
"Numerical Simulation of Crack Propagation Influenced by Thermal and Porous Liquid Stresses,"
Int. J. Fract. 134 (2), L29-L34 (2005). |
| 28. | A. A. Dobroskok, L. Fradkin, A. M. Linkov, and G. Mishuris,
"Crack Redirection with Thermal Secondary Loading,"
Eng. Fract. Mech. 74 (11), 1719-1726 (2007). |
| 29. | V. V. Zubkov, V. F. Koshelev, and A. M. Lin'kov,
"Numerical Modeling of Hydraulic Fracture Initiation and Development,"
Fiz.-Tekh. Probl. Razrab. Polez. Iskopaemykh,
No. 1, 45-63 (2007)
[J. Mining Sci. (Engl. Transl.)
43 (1), 40-56 (2007)]. |
| 30. | A. M. Lin'kov and V. F. Koshelev,
"Multi-Wedge Singular Points in Materials: Theory, Numerical Techniques and Applications,"
in Proc. 4th Int. Conf. "Mathematical Modeling and Computer Simulation of Materials Technologies, MMT-2006, Vol. 1
(The College of Judea and Samaria, Ariel, Israel, 2006),
pp. I-48-I-56. |
| 31. | N. F. Morozov, Yu. V. Petrov, and A. A. Utkin,
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Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 5, 180-182 (1988)
[Mech. Solids (Engl. Transl.)]. |
| 32. | V. A. Bratov, N. F. Morozov, and Yu. V. Petrov,
Dynamic Strength of Continuum
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| 33. | A. M. Lin'kov,
"The Size of the End Zone and the Propagation Velocity of a Displacement Jump,"
Prikl. Mat. Mekh.
69 (1), 144-149 (2005)
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| 34. | A. M. Lin'kov,
"A Theory of Rupture Pulse on Softening Interface with Application to the Chi-Chi Earthquake,"
J. Geophys. Res.
111, B09307.1-B09307.14 (2006). |
|
| Received |
23 July 2010 |
| Link to Fulltext |
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