 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 42, Issue 5 / 2007 | Next article >> |
| Yu. V. Petrov, "On the incubation stage of fracture and structural transformations in continuous media under pulse energy injection," Mech. Solids. 42 (5), 692-699 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
5 |
Pages |
692-699 |
| Title |
On the incubation stage of fracture and structural transformations in continuous media under pulse energy injection |
| Author(s) |
Yu. V. Petrov (Saint-Petersburg State University, Universitetskaya nab. 7–9, St. Petersburg, 199034, Russia, yp@YP1004.spb.edu) |
| Abstract |
Experiments on fracture and structural transformations caused in solid and fluid media as well as in conductors and dielectrics by an intensive pulse action of the ambient medium or by directed energy fluxes reveal several effects showing that dynamic fracture (breakdown) of materials substantially differs from similar processes under slow quasistatic actions. For example, one of the main problems in modeling the dynamic strength properties of materials is related to the dependence of the limit characteristics on the loading history and methods. The dependence on the method of force application manifests itself as a large (hundreds to thousands percent) variation in the limit variables caused by variations in the action duration, amplitude, increase rate of the external action, and several other factors. While the critical value in statics can be treated as a material constant (or a quantity varying relatively slowly, at most, within several dozens percent), the experimentally determined values of the critical characteristics in dynamics are characterized by very strong instability and can differ by orders of magnitude. As a result, the dynamic behavior of a system whose description is based on these characteristics turns out to be unpredictable.
This and some other specific features of material behavior under pulse actions are common for a series of seemingly quite different physical processes such as pulse fracture of solids, cavitation in fluids, dielectric discharge and breakdown, and phase transitions under temperature and mechanical actions of shock waves.
In the present paper, we consider examples illustrating typical dynamic effects in the abovementioned processes. We give a unified interpretation of fracture of solids and fluids, dielectric breakdown, and dynamic phase transitions using the structural-temporal approach [1–3] based on the notion of fracture incubation time. |
| References |
| 1. | Yu. V. Petrov,
"On "Quantum" Nature of Dynamic Fracture of Brittle Solids,"
Dokl. Akad. Nauk SSSR
321 (1), 66-68 (1991)
[Soviet Math. Dokl. (Engl. Transl.)]. |
| 2. | N. Morozov and Yu. Petrov,
Dynamics of Fracture
(Springer, Berlin-Heidelberg-New York, 2000). |
| 3. | N. F. Morozov, Yu. V. Petrov, and A. A. Utkin,
"On the Analysis of Spallllation in the Viewpoint of
Structural Fracture Mechanics,"
Dokl. Akad. Nauk SSSR
313 (2), 276-279 (1990)
[Soviet Math. Dokl. (Engl. Transl.)]. |
| 4. | N. A. Zlatin, S. M. Mochalov, G. S. Pugachev, and A. M. Bragov,
"Time Dependence of the Process of Metal Failure under Intensive Loads,"
Fiz. Tverd. Tela
16 (6), 1752-1755 (1974). |
| 5. | K. Ravi-Chandar and W. G. Knauss,
"An Experimental Investigation into Dynamic Fracture. I.
Crack Initiation and Arrest,"
Int. J. Fract.
25, 247-262 (1984). |
| 6. | J. F. Kalthoff,
"Fracture Behavior under High Rates of Loading,"
Engng. Fract. Mechanics
23, 289-298 (1986). |
| 7. | J. W. Dally and D. B. Barker,
"Dynamic Measurements of Initiation Toughness at High Loading Rates,"
Experimental Mechanics
28, 298-303 (1988). |
| 8. | N. F. Morozov and Yu. V. Petrov,
"On Structure-Temporal Description of the Velocity Dependence of
the Dynamic Fracture Viscosity for Brittle Materials,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 100-104 (1993)
[Mech. Solids (Engl. Transl.)]. |
| 9. | V. K. Kedrinskii,
Explosion Hydrodynamics. Experiment and Models
(Vysshaya Shkola, Novosibirsk, 2000)
[in Russian]. |
| 10. | M. Cornfeld,
Elasticity and Strength of Liquids
(GITTL, Moscow, 1951)
[in Russian]. |
| 11. | A. S. Besov, V. K. Kedrinskii, N. F. Morozov et al.,
"On an Analogy Between the Initial Stages of Fracture
for Solids and Fluids
under Pulse Loading,"
Dokl. Ross. Akad. Nauk
378 (3), 235-238 (2001)
[Russian Acad. Sci. Dokl. Math. (Engl. Transl.)]. |
| 12. | A. A. Vorob'ev and G. A. Vorob'ev, Electric Breakdown and
Fracture of Solid Dielectrics (Vysshaya Shkola, Moscow, 1966) [in
Russian]. |
| 13. | I. G. Haneft and A. V. Haneft, "Influence of the Stress Pulse
Leading Front Duration on the Electric Breakdown of Ammonium
Perchlorate Monocrystals,"
Pis'ma Zh. Tekhn. Fiz.
70 (4), 42-45 (2000)
[Tech. Phys. Lett. (Engl. Transl.)]. |
| 14. | G. I. Kanel and S. V. Razorenov,
"An Anomaly in Temperature Dependencies of the
Bulk and Shear Strength
of Aluminum Crystals in the Submicrosecond Range,"
Fiz. Tverd. Tela
43 (5), 839-845 (2001). |
| 15. | Yu. V. Petrov and E. V. Sitnikova,
"Effect of Anomalous Melting Temperatures
under Impact-Wave Loading,"
Dokl. Ross. Akad. Nauk
400 (4), 480-482 (2005)
[Russian Acad. Sci. Dokl. Math. (Engl. Transl.)]. |
| 16. | Yu. V. Petrov and E. V. Sitnikova,
"Temperature Dependence of Scabbing Strength and the Effect
of Anomalous Melting Temperatures under Impact-Wave Loading,"
Pis'ma Zh. Tekhn. Fiz.
75 (8), 71-74 (2005)
[Tech. Phys. Lett. (Engl. Transl.)]. |
|
| Received |
14 May 2007 |
| Link to Fulltext |
|
| << Previous article | Volume 42, Issue 5 / 2007 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English