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IssuesArchive of Issues2001-2pp.90-94

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E. S. Sibgatullin, "The development of the concept suggested by G. G. Sih in fracture mechanics," Mech. Solids. 36 (2), 90-94 (2001)
Year 2001 Volume 36 Number 2 Pages 90-94
Title The development of the concept suggested by G. G. Sih in fracture mechanics
Author(s) E. S. Sibgatullin (Naberezhnye Chelny)
Abstract In [1], where various criteria of quasibrittle fracture of bodies with a microcrack are given, the criterion suggested by G. G. Sih is noted to be most widespread. However, calculation results obtained on the basis of Sih's criterion [2] frequently do not agree with experimental data (see, for instance, [3]). In the present paper, under the assumption that a body with a macrocrack is capable of attaining the limit state (Sih's criterion is based on that assumption), we suggest a reasonable approach to passing from the space of stresses to the space of stress intensity factors (SIF). The fracture criterion obtained allows us to find, in particular, the boundary between the elastic region of the body and the region where the fracture process takes place near the crack tip [4]. The general fracture criterion implies the fracture criteria for all special cases with only one of the SIF's being different from zero. We propose a method for approximating the limit surface in the SIF space and compare theoretical results with experimental ones obtained by other authors. By way of example, we solve the problem of determining the bearing capacity for a rectangular plate with an inclined central crack under the action of uniformly distributed uniaxial tensile forces.
References
1.  V. V. Panasyuk, A. E. Andreikin, and V. Z. Parton, Fracture Mechanics and Strength of Materials. Volume 1. Basic Principles of Fracture Mechanics [in Russian], Naukova Dumka, Kiev, 1988.
2.  G. C. Sih, "Some basic problems in fracture mechanics and new concepts" Eng. Fract. Mech., Vol. 5, No. 2, pp. 365-377, 1973.
3.  T. Fudjii and M. Dzako, Fracture Mechanics of Composite Materials [Russian translation from Japan], Mir, Moscow, 1982.
4.  V. N. Shlyannikov, "Strain energy density and the region of the fracture process. Theoretical preliminaries," Problemy Prochnosti, No. 10, pp. 3-17, 1995.
5.  M. P. Savruk, Fracture Mechanics and Strength of Materials. Volume 2. Strain Intensity Factors for Cracked Bodies [in Russian], Naukova Dumka, Kiev, 1988.
6.  E. M. Wu, "Strength and fracture of composites," in L. J. Broutman and R. H. Krock (Editors), Composite Materials. Volume 5. Fracture and Fatigue [Russian translation], pp. 206-266, Mir, Moscow, 1978.
7.  S. E. Kovchik and E. M. Morozov, Fracture Mechanics and Strength of Materials. Volume 3. Characteristics of Short-Term Crack Resistance and Methods of Their Determination [in Russian], Kiev, Naukova Dumka, 1988.
8.  S. Murakami (Editor), Stress Intensity Factors Handbook. Volume 2 [Russian translation], Mir, Moscow, 1990.
Received 27 July 1998
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