Abstract
The processes of plastic shear localization in DU-0.75Ti alloy samples subjected to high-speed shear are considered. A mathematical model describing this process in the 1D and 2D cases is formulated. A numerical algorithm for the mathematical modeling of the processes under consideration is proposed. A series of computational experiments on high-speed loading of DU samples is carried out. The localization process dynamics depending on the initial rate of plastic shear is investigated. The values of the temperature, velocity, stress, and shear fields are obtained. The influence of the problem dimension on some of the most important characteristics of the localization process is investigated.
REFERENCES
D. Rittel, Mater. Lett. 59, 1845 (2005).
D. Rittel, Z. G. Wang, and M. Merzer, Phys. Rev. Lett. 96, 075502 (2006).
D. Rittel and S. Osovski, Int. J. Fract. 162, 177 (2010).
D. A. Shockey, A. Marchand, S. Skaggs, et al., Int. J. Impact Eng. 9, 263 (1990).
D. Shockey, J. Simons, C. Brown, and T. Kobayashi, Exp. Mech. 47, 723 (2007).
T. W. Wright, The Physics and Mathematics of Adiabatic Shear Bands (Cambridge Univ. Press, Cambridge, 2002), p. 240.
S. Timothy, Acta Metall. 35, 301 (1987).
G. L. Moss, Shock Waves and High-Strain-Rate Phenomena in Metals (Springer, Berlin, 1981), p. 299.
J. A. Schneider and A. C. Nunes, Metall. Mater. Trans. B 35, 777 (2004).
M. Hammerschmidt and H. Kreye, Shock Waves and High-Strain-Rate Phenomena in Metals (Springer, US, 1981).
T. U. Seidel and A. P. Reynolds, Metall. Mater. Trans. A 32, 2879 (2001).
A. Marchand and J. Duffy, J. Mech. Solids 36, 251 (1988).
J. Duffy, J. D. Campbell, and R. H. Hawley, J. Appl. Mech. 38, 83 (1971).
B. Song, Y. Ge, W. Chen, and T. Weerasooriya, Exp. Mech. 47, 659 (2007).
K. Ramesh and S. Narasimhan, Int. J. Solids Struct. 33, 3723 (1996).
N. Ranc, L. Taravella, V. Pina, and P. Herve, Mech. Mater. 40, 255 (2008).
V. F. Nesterenko, M. A. Meyers, and T. W. Wright, Acta Mater. 46, 327 (1998).
V. Nesterenko and M. Bondar, Combust. Explos. Shock Waves. 30, 500 (1994).
Q. Xue, M. A. Meyers, and V. F. Nesterenko, Acta Mater. 50, 575 (2002).
F. Zhou, T. W. Wright, and K. T. Ramesh, J. Mech. Phys. Solids 54, 1376 (2006).
N. A. Kudryashov, P. N. Ryabov, and A. S. Zakharchenko, J. Mech. Phys. Solids 76, 180 (2015).
T. W. Wright and H. Ockendon, Int. J. Plast. 12, 927 (1996).
T. W. Wright and J. W. Walter, J. Mech. Phys. Solids 35, 701 (1987).
A. Molinari and R. Clifton, J. Appl. Mech. 54, 806 (1987).
J. Q. Xie, A. E. Bayoumi, and H. M. Zbib, J. Mater. Eng. Perform. 4, 32 (1995).
D. E. Grady, J. Mech. Phys. Solids 40, 1197 (1992).
D. E. Grady and M. E. Kipp, J. Mech. Phys. Solids 35, 95 (1987).
D. E. Grady, J. Phys. IV 1, C3-653 (1991).
N. A. Kudryashov, R. V. Muratov, and P. N. Ryabov, Appl. Math. Comput. 338, 164 (2018).
V. A. Dobrev, T. V. Kolev, and R. N. Rieben, J. Comput. Phys. 257, 1062 (2014).
J. H. Tillotson, General Atomic Report No. GA-3216 (1962).
A. L. Brundage, Proc. Eng. 58, 461 (2013).
S. Stewart, E. Davies, M. Duncan, et al., AIP Conf. Proc. 2272, 080003 (2020).
J. W. Walter, Int. J. Plast. 8, 657 (1992).
F. Zhou, T. W. Wright, and K. T. Ramesh, J. Mech. Phys. Solids 54, 904 (2006).
R. C. Batra and D. Liu, J. Appl. Mech. 56, 527 (1989).
M. Meyer, G. Hofman, S. Hayes, et al., J. Nucl. Mater. 304, 221 (2002).
S. Parida, S. Dash, Z. Singh, et al., J. Phys. Chem. Solids 62, 585 (2001).
K. H. Eckelmeyer, Report SAND-82-0524 (IAEA, USA, 1982).
G. R. Johnson and J. M. Hoegfeldt, J. Eng. Mater. Technol. 105, 42 (1983).
G. R. Johnson and J. M. Hoegfeldt, J. Eng. Mater. Technol. 105, 48 (1983).
ACKNOWLEDGMENTS
This work was supported by the Russian Science Foundation, project no. 21-71-00102.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Translated by O. Pismenov
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Muratov, R.V., Ryabov, P.N. & Kudryashov, N.A. On Features of Formation of Localized Shear Bands in Depleted Uranium. Phys. Atom. Nuclei 86, 2241–2250 (2023). https://doi.org/10.1134/S1063778823100319
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778823100319