Physics of Metals and Metallography

, Volume 119, Issue 6, pp 542–550 | Cite as

Deformation and Thermal Processes That Occur during the High-Speed Collapse of a Bulky Copper Cylindrical Shell

  • V. I. Zel’dovichEmail author
  • N. Yu. Frolova
  • A. E. Kheifets
  • S. M. Dolgikh
  • K. V. Gaan
  • E. V. Shorokhov
Structure, Phase Transformations, and Diffusion


A bulky copper cylindrical shell with an internal diameter of 118 mm and a wall thickness of 5.9 mm has been exposed to an explosion of a cylindrical explosive charge uniformly distributed around it. A cylinder with a diameter of 57–58 mm has been obtained as a result of high-speed deformation caused by the explosion. A metallographic analysis of the cylinder structure shows that the shell collapses under the influence of axially symmetric radial deformation, which is accomplished by both twinning and sliding mechanisms. It is determined that axial deformation occurs along with the radial deformation. The microstructure of the cross-section consists of three zones. A wide annular deformation zone is formed on the outside, an annular recrystallization zone is formed closer to the center, and a circular region with a dendritic structure is formed at the center. The presence of dendrites indicates that the temperature at the boundary of this region reaches the melting point of copper. The temperature change along the radius of the cylinder has been calculated.


bulky copper cylindrical shell convergence of shells sliding detonation wave high-speed deformation microstructure melting recrystallization 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. I. Zababakhin and I. E. Zababakhin, Phenomena of Unlimited Cumulation (Nauka, Moscow, 1988).Google Scholar
  2. 2.
    N. I. Matyushkin and Yu. A. Trishin, “On some effects arising from explosive compression of a viscous cylindrical shell,” Prikl. Mekh. Tekh. Fiz. 3, 99–112 (1978).Google Scholar
  3. 3.
    Yu. A. Trishin, “The effect of energy dissipation on the nature of the cumulative flow,” Prikl. Mekh. Tekh. Fiz. 41, 3–10 (2000).Google Scholar
  4. 4.
    V. V. Lotous, E. A. Naumova, and V. V. Dragobetskii, “The effect of energy dissipation on the nature of the cumulative flow,” Visn. NTU “KhPI” 5, 119–127 (2014).Google Scholar
  5. 5.
    V. S. Glazkov, O. N. Ignatova, A. N. Malyshev, S. S. Nadezhin, A. M. Podurets, V. A. Raevskii, and O. A. Tyupanova, “Method for investigating the features of high-strain-rate metal deformation at the micro- and mesoscale levels,” Fiz. Mezomekh. 13 (3), 61–68 (2010).Google Scholar
  6. 6.
    N. A. Gladkov, “Calculation of cladding temperature under external dynamic loading,” Zh.: Nauka Innov., No. 8 (2013).
  7. 7.
    A. F. Belikova, S. N. Buravova, and Y. A. Gordopolov, “Strain localization and its connection with the deformed state of the material,” Tech. Phys. 83, 302–304 (2013).CrossRefGoogle Scholar
  8. 8.
    V. I. Zel’dovich, N. Yu. Frolova, A. E. Kheifets, S. M. Dolgikh, K. V. Gaan, and E. V. Shorokhov, “Deformation- and temperature-related processes that occur upon the collapse of a thick cylindrical shell made of steel 20,” Phys. Met. Metallogr. 116, 300–308 (2015).Google Scholar
  9. 9.
    M. P. Bondar’, “Features of the formation of the structure upon large high-strain-rate deformations,” Fiz. Mezomekh. 1 (1), 37–54 (1998).Google Scholar
  10. 10.
    M. P. Bondar’ and L. A. Merzhievskii, “Evolution of the microstructure of the metal and the conditions for the localization of deformation under high-strain-rate loading,” Fiz. Goreniya Vzryva 42, 121–131 (2006).Google Scholar
  11. 11.
    O. L. Pervukhina, “Use of the explosive collapse method for a hollow thick-walled cylinder to reveal the features of the development of a structure in copper single crystals under high-strain-rate loading,” Fiz. Mezomekh. 4, 93–104 (2001).Google Scholar
  12. 12.
    A. G. Ivanov, V. A. Ogorodnikov, and E. S. Tyun’kin, “Behavior of shells under the action of pulsed loading. Small perturbations,” Prikl. Mekh. Tekh. Fiz., No 6, 112–115 (1992).Google Scholar
  13. 13.
    V. A. Ogorodnikov, A. G. Ivanov, V. V. Mishukov, V. A. Grigor’ev, A. A. Sadovoi, Yu. V. Yanilkin, A. L. Stadnik, and V. N. Mineev, “Impulsive collapse of steel cylindrical shells filled with liquid or gas,” Fiz. Goreniya Vzryva, No. 1, 122–130 (1997).Google Scholar
  14. 14.
    Shock Waves and Phenomena of High-Strain-Rate Deformation in Metals, Ed. by M. Meiers and L. E. Murr (Plenum, New York, 1981; Metallurgiya, Moscow, 1984).Google Scholar
  15. 15.
    A. V. Dobromyslov, N. I. Taluts, E. A. Kozlov, A. V. Petrovtsev, A. T. Sapozhnikov, and D. T. Yusupov, “Deformation behavior of copper under conditions of loading by spherically converging shock waves: Highintensity regime of loading,” Phys. Met. Metallogr. 116, 97–108 (2015).CrossRefGoogle Scholar
  16. 16.
    V. V. Rybin and E. A. Ushanova, “Features of twinning under conditions of high-strain-rate loading upon the explosive welding,” Pis’ma Mater. 3, 145–149 (2013).Google Scholar
  17. 17.
    V. V. Rybin, N. Y. Zolotorevskii, and E. A. Ushanova, “Features of misoriented structures in a copper–copper bilayer plate obtained by explosive welding,” Tech. Phys. 58, 63–72 (2013).CrossRefGoogle Scholar
  18. 18.
    R. G. Chembarisova, “Elastoplastic behavior of copper upon high-strain-rate deformation,” Phys. Met. Metallogr. 116, 592–600 (2015).CrossRefGoogle Scholar
  19. 19.
    T. N. Kon’kova, S. Yu. Mironov, A. V. Korznikov, and M. M. Myshlyaev, “Separation of mechanical and annealing twins by the electron backscatter diffraction technique,” Fiz. Mezomekh. 15 (3), 101–104 (2012).Google Scholar
  20. 20.
    V. V. Rybin, N. Yu. Zolotorevskii, and E. A. Ushanova, “Fragmentation of crystals upon deformation twinning and dynamic recrystallization,” Phys. Met. Metallogr. 116, 769–784 (2015).CrossRefGoogle Scholar
  21. 21.
    G. Salishchev, S. Mironov, S. Zherebtsov, and A. Belyakov, “Effect of deformation on misorientations of grain boundaries in metallic materials,” Mater. Phys. Mech. 26, 42–48 (2016).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • V. I. Zel’dovich
    • 1
    Email author
  • N. Yu. Frolova
    • 1
  • A. E. Kheifets
    • 1
  • S. M. Dolgikh
    • 2
  • K. V. Gaan
    • 2
  • E. V. Shorokhov
    • 2
  1. 1.Institute of Metal Physics, Ural BranchRussian Academy of SciencesEkaterinburgRussia
  2. 2.Zababakhin All-Russian Research Institute of Technical PhysicsSnezhinsk, Chelyabinsk OblastRussia

Personalised recommendations