Skip to main content
Log in

Elastic properties of textured metals with a hexagonal lattice

  • Scientific-Technical Section
  • Published:
Strength of Materials Aims and scope

Conclusions

  1. 1.

    The analytical approach used in this work provides high accurary in calculation of the averaged elastic constants of close-packed hexagonal materials with axial texture. In contrast to other approaches to averaging, the distribution function of the crystallites with respect to orientations is represented by a Gauss distribution. This significantly simplifies the averaging procedure and analysis of the behavior of the elastic constants. The analysis of the relationship of the elastic constants to the direction of the crystallographic axis of the texture and the dispersion of the texture made it possible to detect a number of anomalies in their behavior. The appearance of the anomalies is not the same for the different averaged elastic constants in relation to the degree of anisotropy.

  2. 2.

    With a dispersion in structure of σ→90° isotropy is reached in practice regardless of the orientation the axis of the texture. A deviation in the axis of the texture from the [0001] direction by an angle of ∼50° leads to the minimum anisotropy of the averaged values regardless of the amount of dispersion in texture.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature Cited

  1. T. D. Shermergor, The Theory of Elasticity of Microinhomogeneous Media [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. H. J. Bunge, “Über die elastischen Konstanten kubischer Materialien mit beliebiger Textur”, U-Kristall und Technik,3, No. 3, 431–438 (1968).

    Google Scholar 

  3. H. J. Bunge, “Mathematische Methoden der Texturanalyse”, Akad. Verl., Berlin (1969).

    Google Scholar 

  4. E. Kroner, “Berechnung der elastichen Konstanten des Vielkristalls aus den Konstanten des Einkristalls”, Z. Phys.,151, No. 4, 504–518 (1958).

    Google Scholar 

  5. C. M. Sayers, “The strain distribution in anisotropic polycrystalline aggregates subjected to an external stress field”, Philos. Mag.,49A, No. 2, 243–262 (1984).

    Google Scholar 

  6. G. Kneer, “Über die Berechnung der Elastizitätsmoduln Vielkristalliner Aggregate mit Textur” Phys. Status Solidi,9, No. 3, 825–838 (1965).

    Google Scholar 

  7. G. Vasserman and I. Greven, The Texture of Metallic Materials [in Russian], Metallurgiya, Moscow (1969).

    Google Scholar 

  8. E. A. Mityushov, R. A. Adamesku, and V. I. Yushkov, “The elastic properties of metals with cubic symmetry having axial texture”, Fiz. Met. Metalloved.,55, No. 6, 1079–1082 (1983).

    Google Scholar 

  9. A. Kelly and G. Groves, Crystallography and Defects in Crystals [Russian translation], Mir, Moscow (1974).

    Google Scholar 

  10. M. Yositsugu, O. Tadatsune, H. Sigeo, and I. Tomidziro, “Sogo sikensyo nempo” Ann. Rept. Eng. Res. Inst. Fac. Eng. Univ. Tokyo,24, No. 2, 89–91 (1966).

    Google Scholar 

  11. A. A. Vainshtein, P. S. Rusinov, and N. V. Papina, “Nonuniformity of the properties of polycrystalline materials with axial texture”, Fiz. Met. Metalloved.,48, No. 5, 957–961 (1983).

    Google Scholar 

Download references

Authors

Additional information

Institute of Metal Physics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Problemy Prochnosti, No. 2, pp. 61–65, February, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dneprenko, V.N., Larikov, L.N. & Schiritsa, A.I. Elastic properties of textured metals with a hexagonal lattice. Strength Mater 20, 205–210 (1988). https://doi.org/10.1007/BF01522925

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01522925

Keywords

Navigation