The paper proposes the model of relaxation of the loaded elastoplastic material, with the dislocation kinetics of plastic shear. The proposed model includes two independent strain rates, namely the total strain rate describing the external load rate and the rate of the localized plastic response describing the medium ability to generate deformation defects. This model describes both the localized relaxation processes in the elastoplastic medium and the average stress relaxation in the loaded elastoplastic medium. The proposed model is in essence microscopic. All its parameters are obtained in the independent experiments concerning the evolution of the dislocation continuum during the material loading. The model describes well the observed dynamic effects of the material macroscopic response depending on the strain rate, i.e., the upper and lower yield points (sharp yield point and yield plateau), successive strain hardening, and cyclic and sign-variable loads, and the Bauschinger effect.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. V. Sokolovskii, PMM, No. 12, 3–11 (1948).
L. E. Malvern, J. Appl. Mech., 18, 2003–2008 (1951).
L. A. Merzhievskii, Combust. Explo. Shock., 51, No. 2, 269–283 (2015).
M. A. Meyers and L. E. Murr, eds, Shock Waves and High-Strain-Rate Phenomena in Metals [Russian translation], Metallurgiya, Moscow (1984), pp. 51–60.
H. L. Chang and Y. Horie, J. Appl. Phys., 43, No. 8, 3362–3366 (1972).
V. G. H. Erratum, J. Appl. Phys., 55, No. 11, 4137 (1983).
Y. Horie, J. Mech. Phys. Solids, 24, 361–379 (1976).
Y. Horie, Phys. Rev. B, 21, No. 12, 5349–5557 (1989).
D. J. Steinberg, J. Appl. Phys., 74, No. 6, 3827–3831 (1993).
D. J. Steinberg and R. W. Sharp, J. Appl. Phys., 52, No. 8, 5072–5083 (1981).
D. L. Tonks, J. Appl. Phys., 70, No. 8, 4233–4237 (1991).
K. S. Holian, J. Appl. Phys., 59, No. 1, 149–157 (1986).
W. C. Moss, J. Appl. Phys., 57, No. 5, 1665–1670 (1985).
A. C. Mitchell and W. J. Nellis, J. Appl. Phys., 52, No. 5, 3363–3374 (1981).
D. T. C. Huo and C. H. Ma, J. Appl. Phys., 46, No. 2, 699–701 (1975).
J. R. Asay and L. C. Chhabildas, Shock Waves and High-Strain-Rate Phenomena in Metals [Russian translation], M. A. Meyers and L. E. Murr, eds, Metallurgiya, Moscow (1981), pp. 417–431.
M. A. Koneva and E. V. Kozlov, Soviet Phys. J., 25, No. 8, 3–14 (1982).
M. A. Meyers and L. E. Murr, eds, Shock Waves and High-Strain-Rate Phenomena in Metals [Russian translation], Metallurgiya, Moscow (1984), pp. 152–164.
M. A. Meyers and L. E. Murr, eds, Shock Waves and High-Strain-Rate Phenomena in Metals [Russian translation], Metallurgiya, Moscow (1984), pp. 121–151.
G. I. Kanel’ and V. E. Fortov, Uspekhi mekhaniki. 10, No. 3, 3–81 (1987).
Yu. I. Meshcheryakov and S. A. Atroshenko, Izv. Vyssh. Uchebn. Zaved., Fiz., 36, No. 4, 105–123 (1993).
B. L. Glushak, et al., Trudy RFYaTs-VNIIEF. No. 1(18), 394–411 (2013).
P. V. Makarov, Shock Waves and Extreme States of Matter, V. E. Fortov, L. V. Altshuler, R. F. Trunin, and A. I. Funtikov, eds, Nauka, Moscow (2000), pp. 219–254.
S. Kao-Walter, E. Moumou, and E. Laksman, MSA, 1, 317–322 (2010).
N. S. Selyutina and Y. V. Petrov, Fizicheskaya mezomekhanika, 23, No. 1, 33–40 (2020).
W. Liu, Z. He, C. Tang, and Y. Chen, J. Mater. Eng., 44, No. 1, 47–53 (2016).
W. Liu, Z. He, Y. Chen, et al., Trans. Nonferrous Met. Soc. China, 24, 2179–2186 (2014).
L. Ye, Y. Dong, Y. Zhang, et al., J. Mater. Eng. Perform., 28, 4964–4971 (2019).
A. S. Khan, Y. S. Suh, and R. Kazmi, Int. J. Plasticity, 20, No. 12, 2233–2248 (2004).
I. S. Nikitin, “Theory of Inelastic Layered and Block Media” Doctor’s Dissertation in Physics and Mathematics [in Russian], Moscow, (2008).
R. R. Balokhonov and V. A. Romanova, J. Appl. Mech. Tech. Ph., 48, No. 5, 743–750 (2007).
R. R. Balokhonov, V. A. Romanova, S. Schmauder, and E. Schwab, Comput. Mater. Sci., 64, 306–311 (2012).
J. M. Kelly and P. P. Gillis, J. Appl. Phys., 45, No. 3, 1091–1096 (1974).
V. V. Rybin and A. A. Zisman, Fizicheskaya mezomekhanika, 68, No. 4, 3–15 (1990).
V. V. Rybin, I. M. Zolotarevskii, and I. M. Zhukovskii, Fizicheskaya mezomekhanika, 68, No. 1, 5–27 (1990).
A. A. Presnyakov and R. K. Aubakirova, Fizicheskaya mezomekhanika, 60, No. 1, 205–206 (1985).
R. J. Asaro and A. Needleman, Acta Metall., 33, No. 6, 923–955 (1985).
O. K. Shorpa and C. V. Gowda, Philos. Mag., 30, No. 3, 583–593 (1974).
L. A. Teplyakova., L. N. Ignatenko, N. F. Kasatkina, et al., Plastic Deformation of Alloys. Materials with Heterogeneous Structure [in Russian], TSU, Tomsk (1987), pp. 26–50.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 36–43, November, 2020.
Rights and permissions
About this article
Cite this article
Makarov, P.V. The Model of Dynamic Stress Relaxation of Elastoplastic Materials. Russ Phys J 63, 1876–1884 (2021). https://doi.org/10.1007/s11182-021-02245-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-021-02245-1