Mechanics of Solids (about journal) 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

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IssuesArchive of Issues2011-3pp.416-424

Archive of Issues

Total articles in the database: 12854
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): 8044
In English (Mech. Solids): 4810

<< Previous article | Volume 46, Issue 3 / 2011 | Next article >>
V.M. Kornev, "Prefracture Zone for Longitudinal Shear Cracks in Structured Materials," Mech. Solids. 46 (3), 416-424 (2011)
Year 2011 Volume 46 Number 3 Pages 416-424
DOI 10.3103/S0025654411030083
Title Prefracture Zone for Longitudinal Shear Cracks in Structured Materials
Author(s) V.M. Kornev (Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr-t Akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, kornev@hydro.nsc.ru)
Abstract We obtain simple relations for the following critical fracture parameters of elastoplastic materials: the shear stresses, the prefracture zone length, and the stress intensity factor for mode III of fracture. There is a passage to the limit from a sufficient fracture criterion to a necessary fracture criterion as the prefracture zone length tends to zero. The critical stresses obtained from the necessary and sufficient criteria are substantially different. In the framework of the proposed model, the critical stress intensity factor obtained from the sufficient criterion depends on the grain diameter and the parameters of the τ-γ diagram of the material.
Keywords quasibrittle fracture, longitudinal shear crack, critical stress intensity factor
References
1.  M. Ya. Leonov and V. V. Panasyuk, "Development of Finest Cracks in a Rigid Body," Prikl. Mekh. 5 (4), 391-401 (1959).
2.  D. S. Dugdale, "Yielding of Steel Sheets Containing Slits," J. Mech. Phys. Solids 8 (2), 100-104 (1960).
3.  B. V. Kostrov and L. V. Nikitin, "Longitudinal Shear Crack with an Infinitely Narrow Plastic Zone," Prikl. Mat. Mekh. 31 (2), 334-336 (1967) [J. Appl. Math. Mech. (Engl. Transl.) 31 (2), 357-359 (1967)].
4.  V. I. Astaf'ev, Yu. N. Radaev, and L. V. Stepanova, Nonlinear Fracture Mechanics (Izd-vo Samar. Univ., Samara, 2001) [in Russian].
5.  V. M. Kornev, "Generalized Sufficient Strength Criteria. Description of the Pre-Fracture Zone," Zh. Prikl. Mekh. Tekhn. Fiz. 43 (5), 153-161 (2002) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 43 (5), 763-769 (2002)].
6.  V. M. Kornev, "Stress Distribution and Crack Opening in the Prefracture Zone (Neuber-Novozhilov Approach)," Fizich. Mezomekh. 7 (3), 53-62 (2004).
7.  H. Neuber, Theory of Notch Stresses (J. W. Edwards, Ann Arbor, Michigan, 1946; Gostekhizdat, Moscow-Leningrad, 1947).
8.  V. V. Novozhilov, "On a Necessary and Sufficient Criterion for Brittle Strength," Prikl. Mat. Mekh. 33 (2), 212-222 (1969) [J. Appl. Math. Mech. (Engl. Transl.) 33 (2), 201-210 (1969)].
9.  I. M. Kershtein, V. D. Klyushnikov, E. V. Lomakin, and S. A. Shesterikov, Foundations of Experimental Fracture Mechanics (Izd-vo MGU, Moscow, 1989) [in Russian].
10.  Yu. P. Zheltov and S. A. Khristianovich, "Hydraulic Rupture of an Oil Bed," Izv. Akad. Nauk SSSR. OTN, No. 5, 3-41 (1955).
11.  L. P. Isupov and S. E. Mikhailov, "A Comparative Analysis of Several Nonlocal Criteria," Arch. Appl. Mech. 68 (9), 597-612 (1998).
12.  Methods for Crack Opening Displacement (COD) Testing (British Standards Institution, London, 1979).
13.  "ASTM E1290 - 08e1. Standard Test Method for Crack-Tip Opening Displacement (CTOD) Fracture Toughness Measurement," in Annual Book of ASTM Standards (Philadelphia, 1989), pp. 913-1028.
14.  D. Taylor, "The Theory of Critical Distances," Engng Fract. Mech. 75 (7), 1696-1705 (2008).
15.  A. Neimitz, "Jump-Like Crack Growth Models of Theory of Critical Distances. Are They Correct?" ESIS Newsletter 44, 20-26 (2008).
16.  M. P. Savchuk, "Stress Intensity Coefficients in Cracked Bodies," in Fracture Mechanics and Material Strength, Vol. 2 (Naukova Dumka, Kiev, 1988) [in Russian].
17.  R. Thomson, C. Hsieh, and V. Rana, "Lattice Trapping of Fracture Cracks," J. Appl. Phys. 42 (8), 3154-3160 (1971).
18.  V. M. Kornev and Yu. V. Tikhomirov, "Criterion of Brittle Failure of Cracked Bodies in the Presence of Defect in the Atomic Lattice," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 185-193 (1994) [Mech. Solids (Engl. Transl.) 29 (2), 160-168 (1994)].
19.  V. M. Kornev and V. D. Kurguzov, "Multiparametric Sufficient Criterion of Quasi-Brittle Fracture for Complicated Stress State," Engng Fract. Mech. 75 (5), 1099-1113 (2008).
20.  D. Leguillon, "Strength or Toughness? A Criterion for Crack Onset at a Notch," Eur. J. Mech. A. Solids 21 (1), 61-72 (2002).
Received 13 November 2008
Link to Fulltext
<< Previous article | Volume 46, Issue 3 / 2011 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100