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Spall Strength of Shock-Heated Hafnium and the Equation of State of Its Polymorphic Modifications

  • MECHANICAL PROPERTIES, PHYSICS OF STRENGTH, AND PLASTICITY
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Abstract

We determined the spall strength of hafnium heated by a loading shock wave to thousands of degrees and subjected to transformations into denser polymorphic modifications. To achieve this goal, the following tasks were solved. The pressure profiles at the interface between the sample and soft buffer material in the spall experiments with flat, one-dimensional loading are measured. The equations of state of three polymorphic modifications of hafnium are constructed in the pressure range up to 100 GPa. The thermodynamic states of hafnium were calculated under the conditions of the performed experiments, which, together with the results of measurements of pressure profiles, made it possible to determine the spall strength of hafnium heated in a cycle of shock compression–unloading. The spall strength of hafnium was –4(1) GPa at a temperature of 1680(380) K. The spall experiments were mathematically simulated in the framework of a one-dimensional hydrocode.

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REFERENCES

  1. A. M. Molodets, A. S. Savinykh, A. A. Golyshev, and G. V. Garkushin, Tech. Phys. Lett. 45, 27 (2019).

    Article  ADS  Google Scholar 

  2. K. A. Gschneidner, Solid State Phys. 16, 275 (1964).

    Article  Google Scholar 

  3. D. E. Grady and M. E. Kipp, in High-Pressure Shock Compression of Condensed Matter, Ed. by J. R. Asay and M. Shahinpoor (Springer, New York, 1992), p. 265.

    Google Scholar 

  4. A. A. Golyshev and A. M. Molodets, Combust. Explos., Shock Waves 49, 219 (2013).

    Article  Google Scholar 

  5. Shock Hugoniot Data, Ed. by S. P. Marsh (Univ. California LASL, Berkeley, 1980).

    Google Scholar 

  6. S. A. Ostanin and V. Y. Trubitsin, Comput. Mater. Sci. 17, 174 (2000).

    Article  Google Scholar 

  7. R. Hrubiak, PhD Thesis (Florida Int. Univ., Miami, 2012).

  8. Cheng-Bin Zhang, Wei-Dong Li, Ping Zhang, and Bao-Tian Wang, Comput. Mater. Sci. 157, 121 (2019).

    Article  Google Scholar 

  9. R. McQueen, S. Marsh, J. Taylor, J. Fritz, and W. Carter, in High Velocity Impact Phenomena, Ed. by R. Kinslow (Academic, New York, 1970), p. 293.

    Google Scholar 

  10. A. A. Bakanova, I. P. Dudoladov, and Yu. N. Sutulov, Sov. Phys. Solid State 11, 1515 (1969).

    Google Scholar 

  11. A. M. Molodets, J. Exp. Theor. Phys. 80, 467 (1995).

    ADS  Google Scholar 

  12. A. M. Molodets, High Press. Res. 30, 325 (2009).

    Article  ADS  Google Scholar 

  13. L. V. Al’tshuler, S. B. Kormer, A. A. Bakanova, and R. F. Trunin, Sov. Phys. JETP 11, 573 (1960).

    Google Scholar 

  14. K. Pandey, J. Gyanchandani, M. Somayazulu, G. K. Dey, Surinder M. Sharma, and S. K. Sikka, J. Appl. Phys. 115, 233513 (2014).

    Article  ADS  Google Scholar 

  15. V. V. Kim, A. A. Golyshev, D. V. Shakhrai, and A. M. Molodets, in Proceedings of the 11th International Conference Zababakhin’ Scientific Readings, Snezhinsk, 2012. http://www.vniitf.ru/images/zst/2012/s6/6-24.pdf.

  16. A. M. Molodets, Phys. Solid State 57, 2045 (2015).

    Article  ADS  Google Scholar 

  17. W. Carter and S. Marsh, Report No. LA-13006-MS (Los Alamos National Labor., NM, 1995).

  18. A. M. Molodets, Phys. Solid State 56, 2233 (2014).

    Article  ADS  Google Scholar 

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Funding

This work was supported by the State Atomic Energy Corporation Rosatom under the state contract no. H.4kh.241.9B.17.1013 dated February 20, 2017, and the state order no. 0089-2019-0001. The equipment of the unique scientific facility “Experimental Explosive Stand” was used.

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Correspondence to A. M. Molodets.

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Translated by O. Zhukova

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Molodets, A.M., Golyshev, A.A. Spall Strength of Shock-Heated Hafnium and the Equation of State of Its Polymorphic Modifications. Phys. Solid State 61, 1437–1443 (2019). https://doi.org/10.1134/S1063783419080201

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  • DOI: https://doi.org/10.1134/S1063783419080201

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