Skip to main content
Log in

Limiting velocity of crack propagation in dynamically fractured materials

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A model of a fractal crack is considered. It is found that the limiting velocity of crack propagation is determined by the fractal dimension of the crack contour. It is shown that for commercial steels, the limiting crack velocity is in the range V lim = (0.155–0.537)c 1 (c 1 is the speed of sound).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. P. Cherepanov, Mechanics of Brittle Fracture (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  2. V. M. Finkel’, Physics of Fracture (Metallurgiya, Moscow, 1970) [in Russian].

    Google Scholar 

  3. L. I. Slepyan, “Maximum Dissipation Criterion in Fracture Dynamics,” Dokl. Akad. Nauk 324(1), 69–72 (1992).

    Google Scholar 

  4. V. S. Ivanova, Synergetics: Strength and Fracture of Metallic Materials (Nauka, Moscow, 1992) [in Russian].

    Google Scholar 

  5. B. K. Barakhtin and G. G. Savenkov, “Relationship between Spall Characteristics and the Dimension of Fractal Fracture Structures,” Prikl. Mekh. Tekh. Fiz. 50(6), 61–69 (2009) [J. Appl. Mech. Tech. Phys. 50 (6), 965–971 (2009)].

    Google Scholar 

  6. S. N. Zhurkov, “Dilaton Mechanism of Strength of Solids,” in Physics of Strength and Plasticity (Nauka, Leningrad. Otd., Leningrad, 1986), pp. 5–11 [in Russian].

    Google Scholar 

  7. G. M. Zaslavsky, Physics of Chaos in Hamilton Systems (Institute of Computer Studies, Moscow-Izhevsk, 2004; Imperial College Press, New York, 1988).

    Google Scholar 

  8. L. D. Volovets, N. A. Zlatin, and G. S. Pugachev, “The Kinetics of Fracture of PMMA in a Plane Short Wave of Tensile Stress,” in Problems of Strength and Plasticity of Solids (Nauka, Leningrad, 1979), pp. 35–42 [in Russian].

    Google Scholar 

  9. M. Colotin, F. O. Pompilan, S. Gurlai, et al., “Fractal Transport Phenomena through the Scale Relativity Model,” Acta Phys. Polon. A 116(2), 157–163 (2009).

    ADS  Google Scholar 

  10. J. Feder, Fractals (Plenum Press, New York, 1988).

    MATH  Google Scholar 

  11. K. A. Osipov, New Ideas and Facts in Metal Science (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  12. V. M. Finkel’, A. M. Savel’ev, I. A. Kutkin, and A. F. Kurochkin, “Facture of Transformer Steel,” Fiz. Metal. Metalloved. 15(5), 781–784 (1963).

    Google Scholar 

  13. G. Irwin, “Fracture Dynamics,” in Fracture Mechanics. Fast Fracture and Crack Arrest (Mir, Moscow, 1981), pp. 9–22 [Russian translation].

    Google Scholar 

  14. B. K. Barakhtin, Yu. I. Meshcheryakov, and G. G. Savenkov, “Dynamic and Fractal Properties of SP-28 Steel under High-Rate Loading,” Zh. Tekh. Fiz. 68(10), 43–49 (1998).

    Google Scholar 

  15. L. R. Botvina, Fracture Kinetics of Structural Materials (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  16. B. K. Barakhtin, Yu. I. Meshcheryakov, and G. G. Savenkov, “Statistical Characteristics of Multiple Fracture of Metal Targets under Dynamic Loading and Their Relationship to the Mechanical Parameters of the Materials,” Zh. Tekh. Fiz. 80(1), 79–84 (2010).

    Google Scholar 

  17. G. R. Savenkov, B. K. Barakhtin, and Yu. U. Meshcheryakov, “Fractal Dimension as a Measure of Kinetic Energy Dissipation in Dynamic Fracture Process,” in Proc. 19th St. Petersburg Readings on Strength, St. Petersburg, April 13–15, 2010 (St. Petersburg, 2010), Part 1, pp. 334–336.

  18. A. V. Bobylev, Mechanical Properties of Metals (Metallurgiya, Moscow, 1987) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. G. Savenkov.

Additional information

Original Russian Text © V.A. Morozov, G.G. Savenkov.

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 54, No. 1, pp. 163–169, January–February, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morozov, V.A., Savenkov, G.G. Limiting velocity of crack propagation in dynamically fractured materials. J Appl Mech Tech Phy 54, 142–147 (2013). https://doi.org/10.1134/S0021894413010173

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894413010173

Keywords

Navigation