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Plastic deformation instability in copper alloys

  • Solid State Physics
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Abstract

A systematic investigation was made of the temperature and velocity conditions for the appearance of stepwise deformation in copper alloys with a high alloying content (the Portevin-Le Chatelier effect) and the deformation mechanics of crystalline materials was analyzed from the viewpoint of an emsemble of dislocations. A mathematical model of the Portevin-Le Chatelier effect was constructed, based on general ideas concerning the behavior of dislocations and their interaction with alloying elements, and from the viewpoint of the theory of oscillations, taking into account the rigidity of the test-piece-machine system. Mechanical tests were performed on copperalloy test pieces in the temperature range 20–400°C. A characteristic feature found for the oscillation modes was that the peak-to-peak value Δσ was independent of ɛ and that there was a plateau with a weak dependence σ(ɛ) at the upper σ level. The dependences of the oscillation period on the temperature and the given plastic deformation velocity were in good agreement with experiment.

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Literature cited

  1. A. H. Cottrell and M. A. Jaswon, Proc. Roy. Soc. A,199, 104 (1949).

    MATH  ADS  Google Scholar 

  2. A. H. Cottrell, Philos. Mag.,44, 829 (1953).

    Google Scholar 

  3. J. Caisso, Met. Scient. Rev. Metal.,56, 237 (1959).

    Google Scholar 

  4. N. N. Davidenkov, Fiz. Tverd. Tela (Leningrad),3, 2458 (1961) [Sov. Phys. Solid State,3, 1785 (1962)].

    Google Scholar 

  5. L. E. Popov and N. A. Aleksandrov, Fiz. Met. Metalloved.,14, 625 (1962).

    Google Scholar 

  6. G. A. Malygin, Interaction between Dislocations and Alloying Atoms and the Properties of Metals [in Russian], Polytechnic Institute, Tula (1974), pp. 64–71.

    Google Scholar 

  7. M. I. Tsypin, É. V. Kozlov, G. A. Kulikova, et al., Tsvetnye Metally, No. 7, 54–56 (1991).

  8. A. M. Kosevich, Fundamentals of the Mechanics of Crystal Lattices [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  9. W. G. Johnston and J. J. Gilman, J. Appl. Phys.,30, 129 (1959).

    Article  Google Scholar 

  10. J. P. Hirth and J. Lothe, Theory of Dislocations, 2nd edn., Wiley, New York (1982).

    Google Scholar 

  11. T. Suzuki, H. Esinata, and S. Takeuchi, Dislocation Dynamics and Plasticity [Russian translation], Mir, Moscow (1989).

    Google Scholar 

  12. M. I. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves [in Russian], Nauka, Moscow (1984).

    Google Scholar 

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State Scientific-Research and Design Institute of Alloys and Working of Nonferrous Metals. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 14–20, February, 1993.

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Nagornykh, S.N., Sarafanov, G.F., Kulikova, G.A. et al. Plastic deformation instability in copper alloys. Russ Phys J 36, 112–117 (1993). https://doi.org/10.1007/BF00574088

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  • DOI: https://doi.org/10.1007/BF00574088

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