 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 52, Issue 4 / 2017 | Next article >> |
| Yu.V. Petrov and V.I. Smirnov, "Estimate of the Limit Displacement Wave Amplitude in the Dynamic Problem on an Out-of-Plane Crack," Mech. Solids. 52 (4), 397-406 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
4 |
Pages |
397-406 |
| DOI |
10.3103/S0025654417040069 |
| Title |
Estimate of the Limit Displacement Wave Amplitude in the Dynamic Problem on an Out-of-Plane Crack |
| Author(s) |
Yu.V. Petrov (Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Bol'shoy pr. 61, St. Petersburg, 199178 Russia, yp@yp1004.spb.edu)
V.I. Smirnov (Emperor Alexander I St. Petersburg State Transport University, Moskovskii pr. 9, St. Petersburg, 190031 Russia, vsmirnov1@gmail.com) |
| Abstract |
The paper presents several results of structural fracture macromechanics used to study the integrity of continuum under impulse loading conditions. The dynamic problem on a semi-infinite steady-state crack of longitudinal shear is considered. Exact analytical expressions for the stress tensor and displacement vector components on the crack line are obtained. The values of the threshold displacement amplitude on the wave front are determined for several structural materials. |
| Keywords |
out-of-plane crack, structure-time criterion, impulse loading, threshold displacement jump, dynamic fracture |
| References |
| 1. | Yu. V. Petrov, N. F. Morozov, and V. I. Smirnov,
"Structural Macromechanics Approach in Dynamics of Fracture,"
Fat. Fract. Engng Mat. Struct.
26 (4), 363-372 (2003). |
| 2. | N. F. Morozov, Yu. V. Petrov, and V. I. Smirnov,
"Estimation of the Ultimate Intensity of Pulsed Dynamic Loads in Crack Mechanics,"
Dokl. Ross. Akad. Nauk
400 (3), 341-343 (2005)
[Dokl. Phys. (Engl. Transl.)
50 (1), 59-61 (2005)]. |
| 3. | J. F. Kalthoff and D. A. Shockey,
"instability of Cracks under Impulse Loads,"
J. Appl. Phys.
48 (3), 986-993 (1977). |
| 4. | D. A. Shockey, D. C. Erlich, J. F. Kalthoff, and H. Homma,
"Short-Pulse Fracture Mechanics,"
Engng Fract. Mech.
23 (1), 311-319 (1986). |
| 5. | H. Homma, D. A. Shockey, and Y. Murayama,
"Response of Cracks in Structural Materials to Short Pulse Loads,"
J. Mech. Phys. Solids
31 (3), 261-279 (1983). |
| 6. | N. F. Morozov,
Mathematical Problems of Crack Theory
(Nauka, Moscow, 1984)
[in Russian]. |
| 7. | Yu. V. Petrov, A. A. Gruzdkov, and V. A. Bratov,
"Structural-Temporal Theory of Fracture as a Multiscale Process,"
Fizich. Mezomekh.
15 (2), 15-21 (2012)
[Phys. Mesomech. (Engl. Transl.)
15 (3-4), 232-237 (2012)]. |
|
| Received |
15 February 2017 |
| Link to Fulltext |
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