 | | 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. 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) |
| Year |
2004 |
Volume |
39 |
Number |
1 |
Pages |
153-160 |
| Title |
Critical fracture velocity effects for the dynamic expansion of a cavity in a brittle material |
| Author(s) |
A. G. Zhilenkov (St. Petersburg)
S. M. Kapustyanskii (St. Petersburg)
V. N. Nikolaevskii (St. Petersburg) |
| Abstract |
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. |
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|
| Received |
17 January 2002 |
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