 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.M. Lin’kov, "The end zone of a shear crack propagating at an intersonic velocity," J. Appl. Math. Mech. 74 (2), 223-231 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
2 |
Pages |
223-231 |
| Title |
The end zone of a shear crack propagating at an intersonic velocity |
| Author(s) |
A.M. Lin’kov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, linkova@hotmail.com) |
| Abstract |
An asymptotic solution of the problem for a shear crack propagating at an intersonic velocity is given that determines the size of the end zone, the distribution of the displacement jump in it and the dependence of the propagation velocity on an effective stress intensity factor, introduced in this paper. Numerical data are presented for the case of linear softening in the end zone and a comparison is made with the results for the Leonov-Panasyuk-Dugdale model. It is established using an effective stress intensity factor that the propagation is unstable at velocities close to the velocity of transverse waves; it becomes stable when approaching the velocity of longitudinal waves. |
| Received |
13 August 2008 |
| Link to Fulltext |
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