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Relations between Parameters of Fracture Processes on Different Scale Levels

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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.

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REFERENCES

  1. V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structural Levels of Deformation in Solids (Nauka, Novosibirsk, 1985) [in Russian].

    MATH  Google Scholar 

  2. Y. V. Petrov, A. A. Gruzdkov, and V. A. Bratov, Phys. Mesomech. 15, 232 (2012).

    Article  Google Scholar 

  3. Yu. V. Petrov, A. A. Gruzdkov, and N. F. Morozov, Dokl. Phys. 50 (9), 448 (2005).

    Article  ADS  Google Scholar 

  4. N. A. Gorbushin, G. A. Volkov, and Yu. V. Petrov, Tech. Phys. 52 (6), 852 (2014).

    Article  Google Scholar 

  5. P. N. H. Thomas and V. Babitsky, J. Sound and Vibration 308, 815 (2007).

    Article  ADS  Google Scholar 

  6. Yuri V. Petrov, Ivan V. Smirnov, Grigory A. Volkov, and Andrei K. Abramian, J. Rock Mech. and Geotechn. Eng. 9, 125 (2017).

    Article  Google Scholar 

  7. H. Kolsky, Proc. Phys. Soc. 62 (11), 676 (1949).

    Article  ADS  Google Scholar 

  8. K. Johnson, The Mechanics of Contact Interaction (Nauka, Moscow, 1989) [in Russian].

  9. N. F. Morozov and Yu. V. Petrov, Problems of Dynamics of Fracture in Solids (SPbGU, St. Petersburg, 1997) [in Russian].

  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).

    Article  Google Scholar 

  11. G. A. Volkov, N. A. Gorbushin, and Yu. V. Petrov, Mech. Solids 47 (5), 491 (2012).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    N. V. Mikhailova, G. A. Volkov,  Yu. V. Petrov & I. V. Smirnov

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 199178, St. Petersburg, Russia

    Yu. V. Petrov

  3. Loughborough University, LE11 3TU, Loughborough, United Kingdom

    P. Onawumi, A. Roy & V. Silberschmidt

Authors
  1. N. V. Mikhailova
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  2. G. A. Volkov
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  3. Yu. V. Petrov
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  4. I. V. Smirnov
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  5. P. Onawumi
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  6. A. Roy
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  7. V. Silberschmidt
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Corresponding author

Correspondence to N. V. Mikhailova.

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Translated by V. Bukhanov

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Mikhailova, N.V., Volkov, G.A., Petrov, Y.V. et al. Relations between Parameters of Fracture Processes on Different Scale Levels. Dokl. Phys. 63, 459–461 (2018). https://doi.org/10.1134/S1028335818110095

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  • DOI: https://doi.org/10.1134/S1028335818110095

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