Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2017-4pp.397-406

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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,
V.I. Smirnov (Emperor Alexander I St. Petersburg State Transport University, Moskovskii pr. 9, St. Petersburg, 190031 Russia,
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
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
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