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A Variational Approach to the Determination of the Dynamic Strength of a Material

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Abstract

The problem of the determination of material strength properties through the Kolsky experimental technique is considered. Small size specimens of M1 copper alloy are tested on a split Hopkinson pressure bars equipment. The experimental data of tensile tests observed under both dynamic and quasi-static conditions are analysed within the framework of the incubation time criterion and the Sign-Perturbed Sums method. It is shown that the influence of a test performance error is considered in the data treatment procedure based on the developed method.

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REFERENCES

  1. G. V. Stepanov, V. V. Astanin, V. I. Romanchenko, A. P. Vashchenko, V. M. Tokarev, B. D. Chukhin, Y. P. Guk. Strength of Materials, 15, 220 (1983).

    Article  Google Scholar 

  2. A. M. Bragov, A. K. Lomunov. PMTF, 5, 168 (1988) (in Russian).

    Google Scholar 

  3. A. M. Bragov, B. L. Karihaloo, Yu. V. Petrov, A. Yu. Konstantinov, D. A. Lamzin, A. K. Lomunov, I. V. Smirnov. J. Appl. Mechan. Tech. Phys., 53 (6), 926 (2012).

    Article  ADS  Google Scholar 

  4. A. A. Gruzdkov, E. V. Sitnikova, N. F. Morozov, Y. V. Petrov. Mathem. Mechan. Solids, 14, 72 (2009).

    Article  Google Scholar 

  5. A. A. Gruzdkov, S. I. Krivosheev, Y. V. Petrov. Physics Solid State, 45, 886 (2003).

    Article  ADS  CAS  Google Scholar 

  6. G. I. Kanel, S. V. Razorenov, A. A. Bogatch, A. V. Utkin, V. E. Fortov, D. E. Grady. J. Appl. Phys., 20, 467 (1997).

    Google Scholar 

  7. G. V. Garkushin, G. I. Kanel, S. V. Razorenov. FTT, 52, 2216 (2010) (in Russian).

    Google Scholar 

  8. Y. V. Petrov, A. A. Utkin. Sov. Mater. Sci., 25, 153 (1989).

    Article  Google Scholar 

  9. Y. V. Petrov, N. F. Morozov. ASME J. Appl. Mech., 61, 710 (1994).

    Article  ADS  Google Scholar 

  10. Yu. V. Petrov. Dokl. Akademii Nauk, 395 (5), 621 (2004).

    Google Scholar 

  11. B. C. Csaji, M. C. Campi, E. Weyer. IEEE Transactions on Signal Processing, 63 (1), 169 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  12. H. Kolsky, Proceedings of the Physical Society, 62, 676 (1949).

    Article  Google Scholar 

  13. A. M. Bragov, A. K. Lomunov. Int. J. Impact. Engin., 16 (2), 321 (1995).

    Article  Google Scholar 

  14. A. D. Evstifeev, G. A. Volkov, A. A. Chevrychkina, Y. V. Petrov. Tech. Phys., 64 (4), 523 (2019).

    Article  CAS  Google Scholar 

  15. M. V. Volkova, O. N. Granichin, G. A. Volkov, Y. V. Petrov. Vestnik St. Petersburg University: Mathematics, 51 (1), 23 (2018).

    Article  MathSciNet  Google Scholar 

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Funding

The study was funded by RFBR (no. 19-31-60031, 20-31-70053).

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Correspondence to A. D. Evstifeev.

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Evstifeev, A.D., Volkov, G.A. A Variational Approach to the Determination of the Dynamic Strength of a Material. Tech. Phys. 68 (Suppl 2), S139–S143 (2023). https://doi.org/10.1134/S1063784223900425

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  • DOI: https://doi.org/10.1134/S1063784223900425

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