Skip to main content
Log in

Anisotropy of the effective elastic modulus of a steel plate with a lattice of circular holes

  • Structure and Properties of the Deformed State
  • Published:
Russian Metallurgy (Metally) Aims and scope

Abstract

Plates with a doubly periodic commensurate lattice of circular holes are studied. The plates are cut from a corrosion-resistant steel sheet along and across the rolling direction. Uniaxial tensile tests are performed, and the effective elastic modulus is determined for longitudinal and transverse plates with various lattice orientations with respect to the longitudinal axis of a plate. The experimental and calculated results agree well.

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

References

  1. E. I. Grigolyuk and L. A. Fil’shtinskii, Perforated Plates and Shells (Nauka, Moscow, 1970).

    Google Scholar 

  2. H. Saito, “Stress in a plate containing infinite parallel rows of holes,” ZAMM 37 (3, 4), 111–115 (1957).

    Article  Google Scholar 

  3. R. Bailey and R. Hicks, “Behaviour of perforated plates under plane stress,” J. Mech. Engng. Sci. 2 (2), 143–165 (1960).

    Article  Google Scholar 

  4. W. J. O’Donnell and B. F. Langer, “Design of perforated plates,” J. Engng. Ind. 84, 1–13 (1962).

    Article  Google Scholar 

  5. A. M. Lin’kov, Combined Method of Boundary Integral Equations of the Theory of Elasticity (Nauka, St. Petersburg, 1999).

    Google Scholar 

  6. S. G. Mogilevskaya, S. L. Crouch, and J. A. Wang, “A complex boundary integral method for multiple circular holes in an infinite plane,” Engng. Anal. Bound. Elem. 27, 789–802 (2003).

    Article  Google Scholar 

  7. S. Su, Q. Rao, and Y. He, “Theoretical prediction of effective elastic constants for new intermetallic compound porous material,” Trans. Nonferrous Met. Soc. China. 23, 1090–1097 (2013).

    Article  Google Scholar 

  8. H. Richter, “Homogenisation of porous thin films and perforated layers: comparison of analytical and numerical approaches,” Mech. Mat. 89, 119–129 (2015).

    Article  Google Scholar 

  9. S. L. Parvanova, P. S. Dineva, and G. D. Manolis, “Dynamic behavior of a finite-sized elastic solid with multiple cavities and inclusions using BIEM,” Acta Mech. 224 (3) 597–618 (2013).

    Article  Google Scholar 

  10. V. V. Mokryakov, “Dependence of the effective compliances of planes with a network of circular holes on the lattice parameters,” Vych. Mekhan. Sploshn. Sred 3 (3), 90–101 (2010).

    Google Scholar 

  11. V. V. Mokryakov, “Strength of the elastic plane containing an infinite square lattice of circular holes during mechanical loading,” Izv. Ross. Akad. Nauk, Ser. MTT, No. 5, 105–114 (2014).

    Google Scholar 

  12. A. O. Andreev, M. P. Galkin, M. A. Libman, V. D. Mironov, V. N. Petrovskii, and E. I. Estrin, “Application of laser heat treatment for creating gradient materials based on the Fe–Cr–Ni system,” Metalloved. Term. Obrab. Met., No. 1, 50–53 (2014).

    Google Scholar 

  13. M. P. Galkin, M. A. Libman, and E. I. Estrin, “Use of phase transformations for creating gradient materials,” Materialoved., No. 3, 25–28 (2014).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Mokryakov.

Additional information

Original Russian Text © R.V. Gol’dshtein, V.V. Mokryakov, A.V. Chentsov, V.N. Petrovskii, A.O. Andreev, A.M. Glezer, M.A. Libman, 2017, published in Deformatsiya i Razrushenie Materialov, 2017, No. 1, pp. 31–34.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gol’dshtein, R.V., Mokryakov, V.V., Chentsov, A.V. et al. Anisotropy of the effective elastic modulus of a steel plate with a lattice of circular holes. Russ. Metall. 2017, 838–841 (2017). https://doi.org/10.1134/S0036029517100068

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0036029517100068

Keywords

Navigation