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Origin of Elastic–Plastic Deformation Invariant

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Abstract

We consider the autowave mechanism of evolution of a localized plastic deformation of crystalline solids of different origins. It is found that localization of the plastic flow is determined by the relation between elastic and plastic phenomena in deforming materials. It is shown that the main parameter of deformation processes is the elastic–plastic deformation invariant, viz., a dimensionless quantity connecting quantitatively the parameters of elastic waves and self-sustained waves (autowaves) of localized plastic deformation. The correctness of this statement is verified for metals, alkali-halide crystals, and rocks. The physical origin of the invariant is explained on the basis of thermodynamic considerations.

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References

  1. L. B. Zuev, V. I. Danilov, and S. A. Barannikova, The Physics of Macrolocalization of Plastic Flow (Nauka, Novosibirsk, 2008).

    Google Scholar 

  2. A. Seeger and W. Frank, in Non-Linear Phenomena in Material Science, Ed. by L. P. Kubin and G. Martin (Trans Tech, New York, 1987), p. 125.

  3. V. A. Davydov, N. V. Davydov, V. G. Morozov, M. N. Stolyarov, and T. Yamaguchi, Condens. Matter Phys. 7, 565 (2004).

    Article  Google Scholar 

  4. L. B. Zuev and S. A. Barannikova, Solid State Phenom. 172–174, 1279 (2011).

    Article  Google Scholar 

  5. L. B. Zuev, Phys. Wave Phenom. 20, 166 (2012).

    Article  ADS  Google Scholar 

  6. S. A. Barannikova, M. V. Nadezhkin, and L. B. Zuev, Tech. Phys. Lett. 37, 750 (2011).

    Article  ADS  Google Scholar 

  7. L. B. Zuev, S. A. Barannikova, M. V. Nadezhkin, and V. V. Gorbatenko, J. Min. World Express 2 (1), 31 (2013).

    Google Scholar 

  8. V. F. Kurilov, L. B. Zuev, V. E. Gromov, V. P. Sergeev, and G. I. Gershtein, Kristallografiya 22, 653 (1977).

    Google Scholar 

  9. E. V. Darinskaya, A. A. Urusovskaya, V. N. Opekunov, G. A. Abramchuk, and V. F. Alekhin, Fiz. Tverd. Tela 20, 1250 (1978).

    Google Scholar 

  10. E. V. Darinskaya and A. A. Urusovskaya, Fiz. Tverd. Tela 17, 2421 (1975).

    Google Scholar 

  11. L. B. Zuev, V. E. Gromov, and O. I. Aleksankina, Kristallografiya 19, 889 (1974).

    Google Scholar 

  12. L. B. Zuev, V. E. Gromov, V. F. Kurilov, and L. I. Gurevich, Dokl. Akad. Nauk SSSR 239, 84 (1978).

    Google Scholar 

  13. V. I. Al’shits and V. L. Indenbom, Dislocations in Solids, Ed. by F. R. N. Nabarro (Elsevier, Amsterdam, 1986), p. 43.

  14. K. Otsuka and K. Shimizu, Int. Met. Rev 31 (3), 93 (1986).

    Google Scholar 

  15. D. J. Hudson, Lectures on Elementary Statistics and Probability (CERN, Geneva, 1963).

    MATH  Google Scholar 

  16. L. I. Mirkin, Handbook on X-ray Structure Analysis of Polycrystals (GIFML, Moscow, 1961).

    Google Scholar 

  17. O. L. Anderson, in Physical Acoustics, Ed. by W. P. Mason (Academic, New York, 1965), Vol. 3B, p. 43.

    Article  Google Scholar 

  18. Yu. L. Klimontovich, Introduction to Open-System Physics (Yanus-K, Moscow, 2002).

    Google Scholar 

  19. L. B. Zuev, Tech. Phys. Lett. 31, 89 (2005).

    Article  ADS  Google Scholar 

  20. A. Scott, Nonlinear Science: Emergence and Dynamics of Coherent Structures, 2nd ed. (Oxford Univ. Press, 2003).

    MATH  Google Scholar 

  21. A. I. Slutsker, Phys. Solid State 47, 801 (2005).

    Article  ADS  Google Scholar 

  22. L. D. Landau and E. M. Lifshitz, Statistical Physics (Nauka, Moscow, 1964).

    MATH  Google Scholar 

  23. Yu. B. Rumer and M. Sh. Ryvkin, Thermodynamics, Statistical Physics, and Kinetics (Novosib. Gos. Univ., Novosibirsk, 2000).

    Google Scholar 

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Correspondence to L. B. Zuev.

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Original Russian Text © L.B. Zuev, V.I. Danilov, S.A. Barannikova, N.A. Ploskov, 2018, published in Zhurnal Tekhnicheskoi Fiziki, 2018, Vol. 88, No. 6, pp. 855–859.

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Zuev, L.B., Danilov, V.I., Barannikova, S.A. et al. Origin of Elastic–Plastic Deformation Invariant. Tech. Phys. 63, 829–833 (2018). https://doi.org/10.1134/S1063784218060257

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  • DOI: https://doi.org/10.1134/S1063784218060257

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