Nature of the Elastic-Plastic Strain Invariant
Tóm tắt
The nature of the elastic-plastic strain invariant is considered. It is shown that the absolute values of the invariant obtained in experiments obey the normal distribution. The contributions of the scale and velocity factors to the invariant value are studied. The independence of the invariant on the temperature is established.
Tài liệu tham khảo
L. B. Zuev, S. A. Barannikova, and A. G. Lunev, Usp. Fiz. Met., 19, No. 4, 379–417 (2018).
L. B. Zuev and S. A. Barannikova, Crystals, 9, No. 9, 458–488 (2019).
V. P. Zemskov and A. Yu. Loskutov, Zh. Eksp. Teor. Fiz., 134, No. 2, 406–412 (2008).
E. C. Aifantis, Acta Mech., 225, No. 8, 999–1012 (2014).
H. Haken, Synergetics. A Macroscopic Approach to Complex Systems [Russian translation], URSS, Moscow (2014).
J. Pelleg, Mechanical Properties of Materials, Springer, Dordrecht (2013).
T. Suzuki, H. Yoshinaga, and S. Takeuchi, Dislocation Dynamics and Plasticity [Russian translation], Mir, Moscow (1989).
L. B. Zuev, S. V. Kolosov, and M. V. Nadezhkin, Russ. Phys. J., 63, No. 5, 738–745 (2020).
M. N. Stepnov, Probabilistic Methods of Estimating the Characteristics of Mechanical Properties of Materials [in Russian], Nauka, Novosibirsk (2005).
R. E. Newnham, Properties of Materials, University Press, Oxford (2005).
V. I. Al’shits and V. L. Indenbom, in: Dislocations in Solids, Elsevier, Amsterdam (1986), pp. 43–111.
Yu. B. Rumer and M. Sh. Ryvkin, Thermodynamics, Statistical Physics, and Kinetics [in Russian], NSU Publishing House, Novosibirsk (2000).
L. D. Landau and E. M. Lifshits, Hydrodynamics [in Russian], Fizmatlit, Moscow (2001).