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Deformation Phenomena in the Collapse of Metallic Cylindrical Shells. Buckling

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Combustion, Explosion, and Shock Waves Aims and scope

Abstract

The structural mechanisms of buckling and the deformation behavior of copper and steel cylindrical shells (pipes) during collapse under the action of an explosion are studied. The dependence of deformation behavior on the transverse dimensions of the shell and properties of the loaded material is described. It is established that the stability of radial collapse depends on absolute dimensions of the shell rather than relative dimensions, with the collapse of large-diameter shells occurring more stably. It is demonstrated that the collapse stability is violated due to the formation of a characteristic pattern of localized strain in the sample, consisting of homogeneous, orderly arranged structural elements whose dimension depends little on the material properties and experimental conditions. A criterion for stable radial collapse that relates the characteristic dimensions of the structural element of localized strain and the shell radius is proposed.

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References

  1. E. I. Zababakhin and I. E. Zababakhin, Unlimited Cumulation Phenomena (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  2. A. G. Ivanov, V. A. Ogorodnikov, and E. S. Tyun’kin, “The Behavior of Shells under Impulsive Loading. Small Perturbations,” Prikl. Mekh. Tekh. Fiz. 33 (6), 112–115 (1992) [J. Appl. Mech. Tech. Phys. 33 (6), 871–874 (1992)].

    Google Scholar 

  3. V. I. Zel’dovich, N. Yu. Frolova, A. E. Kheifets, et al., “Deformation- and Temperature-Related Processes that Occur upon the Collapse of a Thick Cylindrical Shell Made of Steel 20,” Fiz. Met. Metalloved. 116 (3), 300–308 (2015) [Phys. Met. Metallogr. 116 (3), 285–292 (2015)].

    Google Scholar 

  4. A. E. Kheifets, V. I. Zel’dovich, N. Yu. Frolova, et al., “Phase and Structural Transformations in a Low-Carbon Steel that Occur upon the Collapse of a Cylindrical Shell,” Fiz. Met. Metalloved. 118 (7), 715–724 (2015) [Phys. Met. Metallogr. 118 (7), 681–690 (2015)].

    Google Scholar 

  5. V. I. Zel’dovich, A. E. Kheifets, N. Yu. Frolova, et al., “Metallographic Investigation of Structural Changes upon Collapse of Cylindrical Copper Shells,” Fiz. Met. Metalloved.e 120 (4), 352–359 (2019) [Phys. Met. Metallogr. 120 (4), 353–360 (2019)].

    Google Scholar 

  6. V. A. Ogorodnikov, Viscosity and Its Role in Dynamic Processes (Inst. Exp. Phys., Sarov, 2012) [in Russian].

    Google Scholar 

  7. G. I. Kanel’, S. V. Razorenov, A. V. Utkin, and V. E. Fortov, Shock Wave Phenomena in Condensed Media (Yanus-K, Moscow, 1996) [in Russian].

    Google Scholar 

  8. A. S. Vol’mir, Stability of Elastic Systems (Fizmatlit, Moscow, 1963; Foreign Technology Division, Wright-Patterson Air Force Base, Ohio, 1965).

    Google Scholar 

  9. V. A. Arinin, V. V. Burtsev, A. L. Mikhailov, “Experimental and Computational Study of Quasispherical Compression of a Copper Shell Loaded by the Detonation of a Plastic Explosive Layer,” Fiz. Goreniya Vzryva 51 (5), 112–120 (2015) [Combust., Expl, Shock Waves 51 (5), 611–618 (2015)].

    Google Scholar 

  10. V. F. Nesterenko and M. P. Bondar’, “Localization of Deformation in Collapse of a Thick Walled Cylinder,” Fiz. Goreniya Vzryva 30 (4), 99–111 (1994) [Combust., Expl., Shock Waves 30 (4), 500–509 (1994)].

    Google Scholar 

  11. V. V. Rybin, E. A. Ushanova, and N. Yu. Zolo-torevskii, “Disoriented Structures in a Bilayer Copper-Copper Plate Obtained by Explosion Welding,” Zh. Tekh. Fiz. 83 (9), 63–72 (2013).

    Google Scholar 

  12. V. I. Zel’dovich et al., “Deformation and Thermal Processes that Occur During the High-Speed Collapse of a Bulky Copper Cylindrical Shell,” Fiz. Met. Metalloved. 120 (4), 573–581 (2019) [Phys. Met. Metallogr. 120 (4), 542–550 (2019)].

    Google Scholar 

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Correspondence to V. I. Zel’dovich.

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Original Russian Text © V.I. Zel’dovich, N.Yu. Frolova, A.E. Kheifets, I.V. Khomskaya, A.A. Degtyarev, E.V. Shorokhov, E.B. Smirnov, S.M. Dolgikh, A.V. Koval’.

Published in Fizika Goreniya i Vzryva, Vol. 55, No. 4, pp. 92–102, July–August, 2019.

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Zel’dovich, V.I., Frolova, N.Y., Kheifets, A.E. et al. Deformation Phenomena in the Collapse of Metallic Cylindrical Shells. Buckling. Combust Explos Shock Waves 55, 456–465 (2019). https://doi.org/10.1134/S0010508219040129

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  • DOI: https://doi.org/10.1134/S0010508219040129

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