Abstract
The generality of the dynamic approach to a wide range of problems of the continuum mechanics, including deformation at the rates determining quasi-static deformation conditions has been demonstrated using the example of deformation of cadmium and copper whiskers. The sharp yield point phenomenon has been analyzed in terms of the theory of dislocations and phenomenological integrated criteria of plasticity. It has been shown that the characteristic relaxation times used in these criteria, regardless of the applied model of plasticity, reflect essential properties of the very deformation process itself.
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References
M. A. Meyers and K. K. Chawla, Mechanical Behavior of Materials (Cambridge University Press, New York, 2009).
V. S. Krasnikov, A. E. Mayer, and A. P. Yalovets, Int. J. Plast. 27, 1294 (2011).
G. V. Berezhkova, Whiskers (Nauka, Moscow, 1969) [in Russian].
J. R. Greer and J. Th. M. De Hosson, Prog. Mater. Sci. 56, 654 (2001).
B. V. Petukhov, Tech. Phys. 46(11), 1389 (2001).
E. N. Borodin and A. E. Mayer, Mater. Sci. Eng., A 532, 245 (2012).
E. N. Borodin, A. E. Mayer, Yu. V. Petrov, and A. A. Gruzdkov, Phys. Solid State 56(12), 2470 (2014).
A. E. Mayer, K. V. Khishchenko, P. R. Levashov, and P. N. Mayer, J. Appl. Phys. 113, 193508 (2013).
A. E. Dudorov and A. E. Maier, Vestn. Chelyab. Gos. Univ., No. 39 (254), 48 (2011).
G. A. Malygin, Phys.—Usp. 42(9), 887 (1999).
D. McLean, Mechanical Properties of Metals (Wiley, New York, 1962; Metallurgiya, Moscow, 1965).
Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Melikhov (Energoatomizdat, Moscow, 1991; CRC Press, Boca Raton, Florida, United States, 1997).
S. S. Brenner, J. Appl. Phys. 28, 1023 (1957).
R. V. Coleman, P. B. Price, and N. Cabrera, J. Appl. Phys. 28, 1360 (1957).
A. A. Gruzdkov and Yu. V. Petrov, Dokl. Phys. 44(2), 114 (1999).
A. A. Gruzdkov, Yu. V. Petrov, and V. I. Smirnov, Phys. Solid State 44(1), 62 (2002).
A. A. Gruzdkov, E. V. Sitnikova, N. F. Morozov, and Y. V. Petrov, Math. Mech. Solids 14, 72 (2009).
M. M. Hutchison, J. Iron Steel Inst. 186, 431 (1957).
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Original Russian Text © Yu.V. Petrov, E.N. Borodin, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 2, pp. 336–341.
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Petrov, Y.V., Borodin, E.N. Relaxation mechanism of plastic deformation and its justification using the example of the sharp yield point phenomenon in whiskers. Phys. Solid State 57, 353–359 (2015). https://doi.org/10.1134/S1063783415020286
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DOI: https://doi.org/10.1134/S1063783415020286