Skip to main content
SpringerLink
Log in

Assessment of cyclic properties of 18G2A low-alloy steel at biaxial stress state

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

An evolution of plastic properties of the 18G2A low-alloy steel due to cyclic predeformation in different directions of the two-dimensional stress space (σ xx ,τ xy ) is assessed on the basis of cyclic curves. The initial material properties have been experimentally evaluated by the analysis of preliminary yield surface. It was made by studying the position in stress space and typical dimensions of the yield surface. The initial yield locus has been determined using a number of specimens which were loaded up to the plastic range along different stress directions. This surface was used as the starting point for comparative studies of plastic properties evolution due to the cyclic prestraining. Cyclic predeformations were induced by monotonic loading at ambient temperature under constant and gradually decreasing amplitude. It is shown that prior cyclic loading induced a softening effect observed during subsequent monotonic loading of the steel. A new concept of the assessment of plastic properties of the cyclically prestrained material is proposed. It deals with the “cyclic yield surface” determination.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Śliwowski, M.: Behaviour of stress-strain diagrams for cyclic loadings. Biul. PAN27, 115–123 (1979).

    Google Scholar 

  2. Mróz, Z.: On generalized kinematic hardening rule with memory of maximal prestress. J. Mec. Appl.5, 241–260 (1981).

    Google Scholar 

  3. Lamba, H. S., Sidebottom, O. M.: Cyclic plasticity for nonproportional paths. ASME J. Eng. Mat. Techn.100, 96–111 (1978).

    Google Scholar 

  4. Tanaka, E., Murakami, S., Ooka, M.: Effects of plastic strain amplitudes on nonproportional cyclic plasticity. Acta Mech.57, 167–182 (1985).

    Google Scholar 

  5. Tanaka, E., Murakami, S., Ooka, M.: Effects of strain path shapes on nonproportional cyclic plasticity. J. Mech. Phys. Solids33, 559–575 (1985).

    Google Scholar 

  6. Ohashi, Y., Tanaka, E., Ooka, M.: Plastic deformation behaviour of type 316 stainless steel subjected to out-of-phase strain cycles. ASME J. Eng. Mat. Techn.107, 286–292 (1985).

    Google Scholar 

  7. Benallal, A., LeGallo, P., Marquis, D.: An experimental investigation of cyclic hardening of 316 stainless steel and 2024 aluminium alloy under multiaxial loadings. Nucl. Eng. Des.114, 345–353 (1989).

    Google Scholar 

  8. Krempl, E., Lu, H.: The path and amplitude dependence of cyclic hardening of type 304 stainless steel at room temperature. In: Biaxial and multiaxial fatigue (Brown, M. W., Miller, K. J., eds.), pp. 89–106. London: Mechanical Engineering Publications 1989.

    Google Scholar 

  9. Trąmpczyński, W.: The experimental verification of the evolution of kinematic and isotropic hardening in cyclic plasticity. J. Mech. Phys. Solids36, 417–441 (1988).

    Google Scholar 

  10. Krempl, E.: Cyclic plasticity: some properties of the hysteresis curve of structural metals at room temperature. ASME J. Basic Eng.93, 317–323 (1971).

    Google Scholar 

  11. Kujawski, D., Krempl, E.: The rate (time)- dependent behaviour of Ti-7Al-2Cb-1Ta titanium alloy at room temperature under quasi-static monotonic and cyclic loading. ASME J. Appl. Mech.48, 55–63 (1981).

    Google Scholar 

  12. Lipkin, J., Swearengen, J. C.: On the subsequent yielding of an aluminium alloy following cyclic prestraining. Metall. Trans.6A, 167–177 (1975).

    Google Scholar 

  13. Lamba, H. S., Sidebottom, O. M.: Proportional biaxial cyclic hardening of annealed oxygen-free high-conductivity copper. J. Test. Eval.6, 260–267 (1978).

    Google Scholar 

  14. Boller, Chr., Seeger, T.: Materials data for cyclic loading. Part A: Unalloyed Steels (Materials Science Monographs, 42A). Amsterdam-Oxford-New York-Tokyo: Elsevier 1987.

    Google Scholar 

  15. Marjanovic, R., Szczepiński, W.: Yield surfaces of the M-63 brass prestrained by cyclic biaxial loading. Arch. Mech.26, 311–320 (1974).

    Google Scholar 

  16. Miastkowski, J.: Yield surface of material subjected to combined cyclic loading. Arch. Mech.30, 203–215 (1978).

    Google Scholar 

  17. Ishikawa, H., Sasaki, K.: Stress-strain relations of SUS304 stainless steel after cyclic preloading. ASME J. Eng. Mater. Technol.111, 417–423 (1989).

    Google Scholar 

  18. Ishikawa, H., Sasaki, K.: Yield surfaces of SUS304 under cyclic loading. ASME J. Eng. Mater. Technol.110, 364–371 (1988).

    Google Scholar 

  19. Landgraf, P. W., Morrow, J. D., Endo, T.: Determination of the cyclic stress-strain curve. J. Mater.4, 176–188 (1969).

    Google Scholar 

  20. Masing G.: Zur Heyn'schen Theorie der Verfestigung der Metalle durch verborgene elastische Spannungen. Wissenschaftliche Veröffentlichungen aus dem Siemens-Konzern3, 231–239 (1923).

    Google Scholar 

  21. Morrow, J. D.: Cyclic plastic strain energy and fatigue of metals, internal friction, damping and cyclic plasticity. ASTM STP 378, American Society for Testing and Materials, 45–87 (1965).

  22. McDowell, D. L.: Multiaxial nonproportional cyclic deformation. Report No. 102, Dept. of Mech. and Industrial Eng., Univ. of Illinois, Urbana 1981.

    Google Scholar 

  23. McDowell, D. L.: A two surface model for transient nonproportional cyclic plasticity. ASME J. Appl. Mech.52, 298–308 (1985).

    Google Scholar 

  24. Jones, B. H.: Assessing instability of thin-walled tubes under biaxial stresses in the plastic range. Exp. Mech.8, 10–18 (1968).

    Google Scholar 

  25. Phillips, A., Liu, C.S., Justusson, J. W.: An experimental investigation of yield surfaces at elevated temperatures. Acta Mech.14, 119–146 (1972).

    Google Scholar 

  26. Mallick, K., Samanta, S. K., Kumar, A.: An experimental study of the evolution of yield loci for anisotropic materials subjected to finite shear deformation. ASME J. Eng. Mater. Technol.113, 192–198 (1991).

    Google Scholar 

  27. Helling, D. E., Miller, A. K., Stout, M. G.: An experimental investigation of the yield loci of 1100-0 aluminum, 70∶30 brass, and an overaged 2024 aluminum alloy after various prestrains. ASME J. Eng. Mater. Technol.108, 313–320 (1986).

    Google Scholar 

  28. Kowalewski, Z. L., Śliwowski, M., Socha, G.: Effect of cyclic prestrain orientation on yield surface evolution of 18G2A steel (in Polish). IFTR Reports 25 (1994).

  29. Szczepiński, W., Dietrich, L., Miastkowski, J.: Plastic properties of metals. In: Experimental Methods in Mechanics of Solids, PWN New York: Elsevier, 1990.

    Google Scholar 

  30. Ikegami, K.: An historical perspective of the experimental study of subsequent yield surfaces for metals-parts 1 & 2 (in Japanese). Japan Soc. Mat. Sci.24, 491–505 (1975), and24, 709–719 (1975), English translation BISI 14420 (1976).

    Google Scholar 

  31. Hecker, S. S.: Experimental studies of yield phenomena in biaxially loaded metals. In: Constitutive equations in viscoplasticity: computational and engineering aspects (Stricklin, J. A., Saczalski, K. J., eds.), pp. 1–33. The Winter Annual Meeting of The American Society of Mechanical Engineers, New York City: 1976.

  32. Dietrich, L., Kiryk, R., Socha, G., Śliwowski, M.: Identification of plastic anisotropy of an aluminium alloy (in Polish). IFTR Reports 26 (1994).

  33. Hsu, T. C.: Definition of the yield point in plasticity and its effect on the shape of the yield locus. J. Strain Anal.1, 331–338 (1966).

    Google Scholar 

  34. Mises, R. V.: Mechanik der plastischen Formänderung von Kristallen. Z. Angew. Math. Mech.8, 161–185 (1928).

    Google Scholar 

  35. Szczepiński, W.: On deformation-induced plastic anisotropy of sheet metals. Arch. Mech.45, 3–38 (1993).

    Google Scholar 

  36. Hill, R.: A theory of the yielding and plastic flow of anisotropic metals. Proc. R. Soc. London Ser. A193, 281–297 (1948).

    Google Scholar 

  37. Ota, T., Shindo, A., Fukuoka, H.: A consideration on anisotropic yield criterion. Proc. 9th Japan Nat. Cong. for Appl. Mech., pp. 117–120 (1959).

Download references

Author information

Author notes

  1. Z. L. Kowalewski

    Present address: Department for Strength of Materials, Institute of Fundamental Technological Research, ul. Świetokrzyska 21, 00-049, Warsaw, Poland

Authors and Affiliations

    Authors
    1. Z. L. Kowalewski
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Kowalewski, Z.L. Assessment of cyclic properties of 18G2A low-alloy steel at biaxial stress state. Acta Mechanica 120, 71–89 (1997). https://doi.org/10.1007/BF01174317

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01174317

    Keywords

    Search

    Navigation