Advertisement

Doklady Physics

, Volume 63, Issue 11, pp 459–461 | Cite as

Relations between Parameters of Fracture Processes on Different Scale Levels

  • N. V. Mikhailova
  • G. A. Volkov
  • Yu. V. Petrov
  • I. V. Smirnov
  • P. Onawumi
  • A. Roy
  • V. Silberschmidt
PHYSICS
  • 8 Downloads

Abstract

The processes of ultrasonically-assisted drilling (UAD) and the dynamic tests on split Hopkinson pressure bar (SHPB), fracture in which is implemented at various structural-scale levels, are considered. The simulation of UAD based on the Hertz contact problem and the structural−time criterion is presented. The problem of using the value of the fracture incubation time and its linear size obtained from the tests on SHPB in the simulation is considered. A principle of equal power is used for converting the strength parameters into another structural−scale level. The theoretical curve obtained in the simulation is compared with the results of experiments on conventional drilling (CD) and UAD.

Notes

REFERENCES

  1. 1.
    V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structural Levels of Deformation in Solids (Nauka, Novosibirsk, 1985) [in Russian].zbMATHGoogle Scholar
  2. 2.
    Y. V. Petrov, A. A. Gruzdkov, and V. A. Bratov, Phys. Mesomech. 15, 232 (2012).CrossRefGoogle Scholar
  3. 3.
    Yu. V. Petrov, A. A. Gruzdkov, and N. F. Morozov, Dokl. Phys. 50 (9), 448 (2005).ADSCrossRefGoogle Scholar
  4. 4.
    N. A. Gorbushin, G. A. Volkov, and Yu. V. Petrov, Tech. Phys. 52 (6), 852 (2014).CrossRefGoogle Scholar
  5. 5.
    P. N. H. Thomas and V. Babitsky, J. Sound and Vibration 308, 815 (2007).ADSCrossRefGoogle Scholar
  6. 6.
    Yuri V. Petrov, Ivan V. Smirnov, Grigory A. Volkov, and Andrei K. Abramian, J. Rock Mech. and Geotechn. Eng. 9, 125 (2017).CrossRefGoogle Scholar
  7. 7.
    H. Kolsky, Proc. Phys. Soc. 62 (11), 676 (1949).ADSCrossRefGoogle Scholar
  8. 8.
    K. Johnson, The Mechanics of Contact Interaction (Nauka, Moscow, 1989) [in Russian].Google Scholar
  9. 9.
    N. F. Morozov and Yu. V. Petrov, Problems of Dynamics of Fracture in Solids (SPbGU, St. Petersburg, 1997) [in Russian].Google Scholar
  10. 10.
    G. A. Volkov, V. A. Bratov, A. A. Gruzdkov, V. I. Babitsky, Y. V. Petrov, and V. V. Silberschmidt, Shock Vibr. Dig. 18, 333 (2011).CrossRefGoogle Scholar
  11. 11.
    G. A. Volkov, N. A. Gorbushin, and Yu. V. Petrov, Mech. Solids 47 (5), 491 (2012).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • N. V. Mikhailova
    • 1
  • G. A. Volkov
    • 1
  • Yu. V. Petrov
    • 1
    • 2
  • I. V. Smirnov
    • 1
  • P. Onawumi
    • 3
  • A. Roy
    • 3
  • V. Silberschmidt
    • 3
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Institute for Problems in Mechanical Engineering, Russian Academy of SciencesSt. PetersburgRussia
  3. 3.Loughborough UniversityLoughboroughUnited Kingdom

Personalised recommendations