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IssuesArchive of Issues2004-1pp.153-160

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Total articles in the database: 10864
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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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