Strength of Materials

, Volume 11, Issue 8, pp 914–917 | Cite as

Anisotropy of the elastic and strength properties of cold-rolled copper sheets

  • A. A. Bryukhanov
  • A. F. Voitenko
  • V. V. Usov
  • A. A. Chernyi
Scientific-Technical Section
  • 220 Downloads

Conclusions

  1. 1.

    The anisotropy of Young's modulus of copper sheet subjected to forward cold rolling to a reduction of 70% is determined primarily by the fourth harmonic of the expansion of the modulus curve into a Fourier series. Both the amplitudes of the second and of the fourth harmonics introduce a substantial contribution into the anisotropy of the tensile and yield strengths.

     
  2. 2.

    Harmonic analysis of the anisotropy of mechanical properties makes it possible to choose the conditions for a directed change in the character of the anisotropy of Young's modulus and the tensile and yield strengths in copper sheets.

     
  3. 3.

    Cross rolling to medium degrees of reduction leads to a change in the character of anisotropy of mechanical properties in copper sheets and, consequently, to a change in the contributions of the amplitudes of the harmonics of the corresponding Fourier series.

     
  4. 4.

    Cross rolling to high degrees of reduction leads to the formation of an anisotropy of properties similar to the original but displaced relative to the initial rolling direction by an angle of π/4.

     

Keywords

Mechanical Property Anisotropy Yield Strength Harmonic Analysis Fourier Series 

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Literature cited

  1. 1.
    G. Vasserman and I. Greven, Textures of Metallic Materials [in Russian], Metallurgiya, Moscow (1969).Google Scholar
  2. 2.
    G. T. Davies, “Texture analysis and anisotropy in metals,” T. Sheffield Univ. Met. Soc.,14, 17–26 (1975).Google Scholar
  3. 3.
    A. O. Bryukhanov, “A study of the elastic properties of steel wires in the area of recrystallization,” Ukr. Fiz. Zh., No. 10, 105–109 (1965).Google Scholar
  4. 4.
    A. F. Voitenko and N. V. Novikov, “A unit for investigating the characteristics of elasticity and internal friction of materials in the 3–300 °K temperature range,” Probl. Prochn., No. 5, 616–618 (1973).Google Scholar
  5. 5.
    V. I. Smirnov, A Course of Higher Mathematics, Pergamon (1964).Google Scholar
  6. 6.
    A. E. Bryukhanov, “Rules of the development of texture in copper in plastic deformation by rolling,” Zh. Tekh. Fiz.,7, 2065–2083 (1937).Google Scholar
  7. 7.
    A. E. Bryukhanov, “Relaxation and recrystallization of copper after rolling,” Zh. Tekh. Fiz.,8, No. 11, 1048–1058 (1938).Google Scholar
  8. 8.
    J. F. Nye, Physical Properties of Crystals, Oxford Univ. Press (1957).Google Scholar
  9. 9.
    A. A. Bryukhanov, “General rules of the elastic anisotropy of cubic crystals and of the texture of cubicsystem metals, part 1, rolling textures,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 153 (1977).Google Scholar
  10. 10.
    A. E. Bryukhanov, “The change in the modulus curve from the dissipation of texture,” Zh. Tekh. Fiz.,6, No. 7, 1135–1137 (1936).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • A. A. Bryukhanov
    • 1
    • 2
  • A. F. Voitenko
    • 1
    • 2
  • V. V. Usov
    • 1
    • 2
  • A. A. Chernyi
    • 1
    • 2
  1. 1.Odessa Teacher Training InstituteUSSR
  2. 2.Institute of Strength ProblemsAcademy of Sciences of the Ukrainian SSRKiev

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