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Relationship between spall characteristics and the dimension of fractal fracture structures

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Abstract

The effect of the fractality of a fracture surface and spall contour on the characteristics [fracture time (strength) and spall strength] of the loaded material is studied. It is shown that an increase in the fractal dimensions of the spall contour leads to an increase in the material strength parameter in the tensile wave and spall strength, whereas an increase in the fractal dimension of the fracture surface leads to a decrease in the spall strength. As an example, the spall strength is calculated taking into account the fractality of the fracture surface for Sp. 28 steel.

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References

  1. B. L. Glushak, I. R. Trunin, S. A. Novikov, and A. I. Ruzanov, “Numerical modeling of spall fracture,” in: Fractals in Applied Physics [in Russian], Inst. of Exp. Phys., Arzamas-16 (1995), pp. 59–122.

    Google Scholar 

  2. V. S. Ivanova, Synergetrics: Strength and Fracture of Metals [in Russian] Nauka, Moscow (1992).

    Google Scholar 

  3. V. S. Ivanova, A. S. Balankin, I. Zh. Bunin, and A. A. Oksogoev, Synergetrics and Fractals in Materials Science [in Russian] Nauka, Moscow (1994).

    Google Scholar 

  4. B. K. Barakhtin, Yu. I. Meshcheryakov, and G. G. Savenkov, “Dynamic and fractal properties of SP-28 steel under high-velocity loading,” Zh. Tekh. Fiz., 68, No. 10, 43–49 (1998).

    Google Scholar 

  5. G. G. Savenkov, “Fractal-cluster model of spall fracture,” Zh. Tekh. Fiz., 72, No. 12, 44–48 (2002).

    MathSciNet  Google Scholar 

  6. S. A. Atroshenko, S. A. Gladyshev, and Yu. I. Meshcheryakov, “Structural level scale mechanisms for fracture of dynamically loaded media,” in: Proc. 4-th All-Union Conf. on Detonation, Vol. 1, Telavi (1988), pp. 286–292.

    Google Scholar 

  7. Q. Y. Long, Li Suqin, and C. W. Lung, “Studies on the fractal dimension of the fracture surface formed by slow stable crack propagation,” J. Appl. Phys., 24, 602–607 (1991).

    Google Scholar 

  8. É. V. Kozlov, “Parameters of the mesosrtucture and mechanical properties of single-phase metallic materials,” Vopr. Materialoved., No. 1. 50–69 (2002).

  9. V. N. Aptukov, “Two stages of spallation,” Combust., Expl., Shock Waves, No. 5, 631–636 (1985).

  10. Yu. I. Fadeenko, “Temporal fracture criteria in solid-state dynamics,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 32, Inst. of Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1977), pp. 95–122.

    Google Scholar 

  11. V. I. Betehtin, A. I. Petrov, and A. G. Kadomtsev, “Life, development, and curing of microcracks in metals,” in: Physics of Strength and Plasticity [in Russian], Nauka, Leningrad, (1986), pp. 41–48.

    Google Scholar 

  12. V. V. Novozhilov, “Necessary and sufficient criterion of brittle strength,” Prikl. Mat. Mekh., 33, No. 2, 212–222 (1969).

    Google Scholar 

  13. N. F. Morozov and Yu. V. Petrov, “Conception of structural time in dynamic fracture theory,” Dokl. Akad. Nauk SSSR, 324, No. 5, 964–967 (1992).

    Google Scholar 

  14. N. F. Morozov, Yu. V. Petrov, and A. V. Utkin, “On the calculation of the limiting intensity of pulsed loads,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 181–182 (1988).

  15. A. G. Ivanov, “On possible causes of brittle fracture,” J. Appl. Mech. Tekh. Fiz., No. 3, 439–442 (1988).

  16. H.-O. Peitgen and P. H. Richter, Beauty of Fractals: Images of Complex Dynamical Systems, Springer-Verlag (1945).

  17. R. L. Salganik, “Mechanics of bodies with a large number of cracks,” Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 149–158 (1973).

  18. A. G. Ivanov (ed.), Fracture of Objects of Different Scales in Explosion [in Russian], Inst. of Exp. Phys., Sarov (2001).

    Google Scholar 

  19. V. V. Zosimov and L. M. Lyamshev, “Fractals in wave processes,” Usp. Fiz. Nauk, 165, No. 4, 361–401 (1995).

    Article  Google Scholar 

  20. A. A. Éfros, Physics and Geometry of Disorder [in Russian] Nauka, Moscow (1982).

    Google Scholar 

  21. G. G. Savenkov,“Deformation and fracture mechanisms of plastic and rigid bodies under high-velocity interaction,” Doct. Dissertation in Tech. Sci., Saint Petersburg (2003).

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Authors and Affiliations

  1. Prometei Central Research Institute of Structural Materials, St. Petersburg, 191015, Russia

    B. K. Barakhtin

  2. Poisk Research Institute, Murino, 188662, Leningrad Region, Russia

    G. G. Savenkov

Authors
  1. B. K. Barakhtin
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  2. G. G. Savenkov
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Correspondence to G. G. Savenkov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 6, pp. 61–69, November–December, 2009.

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Barakhtin, B.K., Savenkov, G.G. Relationship between spall characteristics and the dimension of fractal fracture structures. J Appl Mech Tech Phy 50, 965–971 (2009). https://doi.org/10.1007/s10808-009-0130-y

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  • DOI: https://doi.org/10.1007/s10808-009-0130-y

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