| ||Mechanics of Solids|
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936
Archive of Issues
|Total articles in the database:|| ||10864|
|In Russian (Èçâ. ÐÀÍ. ÌÒÒ):|| ||8009|
|In English (Mech. Solids):|| ||2855|
|A. G. Zhilenkov, S. M. Kapustyanskii, and V. N. Nikolaevskii, "Critical fracture velocity effects for the dynamic expansion of a cavity in a brittle material," Mech. Solids. 39 (1), 153-160 (2004)|
||Critical fracture velocity effects for the dynamic expansion of a cavity in a brittle material|
||A. G. Zhilenkov (St. Petersburg)|
S. M. Kapustyanskii (St. Petersburg)
V. N. Nikolaevskii (St. Petersburg)
||The mathematical modeling of the explosive fracture of brittle
materials (for example, rocks) involves the concept of the moving
fracture front behind which the material acquires properties
corresponding to its new (fragmented) state. The existence
of the fracture front as a strong discontinuity surface has been
validated by experiments with transparent materials. To obtain
a complete solution of appropriate boundary-value problems,
it is necessary to formulate boundary conditions on the fracture front.|
In the present paper, we consider the results of the numerical analysis
of the dynamics
of expansion of a spherical cavity, with the limiting rate of growth of an
individual crack being utilized as the closing condition for the system of
boundary conditions on the fracture front. This analysis shows that the
critical static breaking stresses move at their "phase" velocity ahead of the
actual fracture front. Thus, according to the calculations, it occurs as if
the fracture delays. When calculated in the close nearness before the
fracture front, the same stress critical combination involves substantially
higher dynamic strength values. These strength values are the functionals of
the problem (test) rather than material constants.
|1. ||V. N. Rodionov, I. A. Sizov, and V. N. Tsvetkov,
Fundamental Geomechanics [in Russian], Nedra, Moscow, 1986.|
|2. ||V. N. Nikolaevskii, Mechanics of Porous and Fractured Media
[in Russian], Nedra, Moscow, 1984.|
|3. ||V. N. Nikolaevskii, "The dynamics of fracture fronts in brittle
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 106-115, 1980.|
|4. ||J. F. Cuderman, "Multiple fracturing experiments- propellant
and borehole consideration,"
SPE/DOE Paper, No. 10845, pp. 535-546, 1982.|
|5. ||W. G. Knauss and K. Ravi-Chandar, "Some basic problems in stress
wave dominated fracture,"
Intern. J. Fracture, Vol. 27, No. 3/4, pp. 127-143, 1985.|
|6. ||R. Kinslow (Editor), High-velocity Impact Phenomena,
Academic Press, New York, 1970.|
|7. ||M. Van Theil (Editor), Compendium of Shock Wave Data. UCRL-50108. Volume 2,
Lawrence Laboratory, Livermore, 1977.|
|8. ||S. M. Kapustyanskii and V. N. Nikolaevskii,
"The parameters of elastoplastic dilatancy model for geomaterials,"
Zh. Prikl. Mekhaniki i Tekhn. Fiziki, No. 6, pp. 145-150, 1985.|
|9. ||Ya. B. Fridman, Mechanical Properties of Metals
[in Russian], Mashinostroenie, 1974.|
|10. ||A. G. Zhilenkov, S. M. Kapustyanskii, and V. N. Nikolaevskii,
"Deformation and fracture of a deep borehole when intersecting a weak
Doklady AN, Vol. 329, No. 2, pp. 163-165, 1993.|
|11. ||M. Wilkins, "Calculation of elastoplastic flows,"
in Numerical Methods in Hydrodynamics [Russian translations],
Mir, Moscow, 1967.|
|12. ||E. V. Zinchenko, V. N. Tsvetkov, and Yu. M. Gokhban,
"A possible mechanism of the formation of shock cones
induced by a meteorite impact,"
in Physical Processes in Geospheres: Manifestation and Interaction
[in Russian], pp. 299-304, In-t Dinamiki Geosfer RAN, Moscow, 1999.|
|13. ||J. Millet, N. Bourne, and Z. Rosenberg, "Observation of the
Hugoniot curves for glasses as measured by embedded stress gauges,"
J. Applied Phys., Vol. 85, No. 2, pp. 739-741, 1998.|
|14. ||J. C. F. Millet, N. K. Bourne, Z. Rosenberg, and J. E. Field,
"Shear strength measurement in a tungsten alloy during shock loading,"
J. Applied Phys., Vol. 86, No. 12, pp. 6707-6709, 1999.|
|15. ||J. C. F. Millet, K. Tsembells, and N. K. Bourne,
"Longitudinal and lateral stress measurements in shock-loaded
gabbro and granite,"
J. Applied Phys., Vol. 87, No. 8, pp. 3678-3682, 2000.|
|16. ||J. C. F. Millet, N. K. Bourne, and Z. Rosenberg,
"Direct measurements of strains in a shock-loaded, lead filled glass,"
J. Applied Phys., Vol. 87, No. 12, pp. 8457-8460, 1999.|
|17. ||J. Millet and N. Bourne,
"The shear strength of a shocked borosilicate glass with internal interface,"
Scripta Mater., Vol. 42, pp. 681-685, 2000.|
|18. ||J. Millet and N. Bourne,
"The effect of an internal interface on the shear strength
of a shock-loaded, high density glass,"
Scripta Mater., Vol. 43, pp. 77-82, 2000.|
|19. ||J. C. F. Millet and N. K. Bourne,
"Lateral stress measurements in shock-loaded alumina: shear strength
and delayed failure,"
J. Materials Science., Vol. 34, pp. 3400-3414, 2001.|
|20. ||H. He, F. Jing, and X. Jin,
"Evaluating the damage in the shock compressed glass coupling
with VISAR measurement,"
Int. J. Impact Eng., Vol. 25, pp. 599-605, 2001.|
|21. ||V. V. Kartuzov, B. A. Galanov, and S. M. Ivanov,
"Concept of ultimate fracture velocity in the analysis of spherical
cavity expansion in brittle materials: application to penetration problems,"
Int. J. Impact Eng., Vol. 23, pp. 431-442, 1999.|
|22. ||N. K. Bourne and G. N. Gray, "III. On the failure of shocked
Proc. Roy. Soc. Lond., A, Vol. 458, pp. 1273-1284, 2002.|
|23. ||V. N. Nikolaevskii, "Dynamic strength and fracture velocity,"
in Shock, Explosion, and Fracture [in Russian], pp. 166-203,
Mir, Moscow, 1981.|
|24. ||K. B. Broberg, "On transient sliding motion,"
Geophys. J. Roy. Astron Soc., Vol. 52, pp. 397-432, 1978.|
||17 January 2002|