Skip to main content
SpringerLink
Log in

On measuring the dynamic elastic modulus for metallic materials using stress wave loading techniques

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Metallic materials are mostly rate dependent in mechanical behavior, but their elastic modulus under high strain rate is hard to measure accurately. In this paper, two methodologies are proposed based on stress wave theory in hope of accurate measurement for metallic materials, for example Ti6Al4V alloy. One is based on the one-dimension stress wave propagation in a long Ti6Al4V bar, and the elastic modulus under a high strain rate is obtained from the calculated stress wave speed. The other technique is to utilize the integrated Hopkinson pressure bar made of Ti6Al4V material. The obtained elastic moduli from these methods are compared and analyzed, and the results are consistent with each other. The numerical simulations with cylindrical and dogbone-shaped specimens are conducted to show the influence of bar indentation on measurement accuracy. An alternative method is introduced based on the vertical split Hopkinson pressure bar, which can extend the integrated Hopkinson pressure bar method for most metallic materials with small bulk. The verification experiments are also conducted. Finally, the limiting strain rate is estimated for potential measurement problems.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Lindholm, U.S.: Some experiments with split Hopkinson pressure bar. J. Mech. Phys. Solids 12, 17–35 (1964)

    Article  Google Scholar 

  2. Guo, W.G., Zhang, X.Q., Su, J., et al.: The characteristics of plastic flow and a physically-based model for 3003 Al–Mn alloy upon a wide range of strain rates and temperatures. Eur. J. Mech. A/Solids 30, 54–62 (2011)

    Article  Google Scholar 

  3. Schindler, S., Steinmann, P., Aurich, J.C., Zimmermann, M.: A thermo-viscoplastic constitutive law for isotropic hardening of metals. Arch. Appl. Mech. 87, 129–157 (2017)

    Article  Google Scholar 

  4. Oliferuk, W., maj, M., Litwinko, R., Urbanski, R.: Thermo mechanical coupling in the elastic regime and elasto-plastic transition during tension of austenitic steel, titanium and aluminium alloy at strain rates from \(\text{10 }^{-4}\) to \(10^{-1}\,\text{ s }^{-1}\). Eur. J. Mech. A/Solids 35, 111–118 (2012)

    Article  Google Scholar 

  5. Ducobu, F., Riviere-Lorphere, E., Filippi, E.: Application of the coupled Eulerian–Lagrangian (CEL) method to the modeling of orthogonal cutting. Eur. J. Mech. A/Solids 59, 58–66 (2016)

    Article  Google Scholar 

  6. Kolsky, H.: An investigation of the mechanical properties of materials at very high rates of loading. Proc. R. Soc. Lond. B62, 676–700 (1949)

    Google Scholar 

  7. Miao, Y.G., Liu, H.Y., Suo, T., Mai, Y.W., Xie, F.Q., Li, Y.L.: Effects of strain rate on mechanical properties of nanosilica/epoxy. Compos. Part B Eng. 96, 119–124 (2016)

    Article  Google Scholar 

  8. Lomakin, E.V., Mossakovsky, P.A., Bragov, A.M., et al.: Investigation of impact resistance of multilayered woven composite barrier impregnated with the shear thickening fluid. Arch. Appl. Mech. 81, 2007–2020 (2011)

    Article  Google Scholar 

  9. Miao, Y.G., Li, Y.L., Liu, H.Y., et al.: Determination of dynamic elastic modulus of polymeric materials using vertical split Hopkinson pressure bar. Int. J. Mech. Sci. 108–109, 188–196 (2016)

    Article  Google Scholar 

  10. Zhao, H., Gary, G.: On the use of SHPB techniques to determine the dynamic behavior of materials in the range of small strains. Int. J. Solids Struct. 33, 63–75 (1996)

    MATH  Google Scholar 

  11. Chen, W., Song, B., Frew, D.J., Forrestal, M.J.: Technical note: dynamic small strain measurements of a metal specimen with a split Hopkinson pressure bar. Exp. Mech. 43, 20–23 (2003)

    Article  Google Scholar 

  12. Nemat-Nasser, S., Isaacs, J.B., Starrett, J.E.: Hopkinson techniques for dynamic recovery experiments. Proc. R. Soc. A435, 371–391 (1991)

    Article  Google Scholar 

  13. Ravichandran, G., Subhash, G.: Critical appraisal of limiting strain rate for compression testing of ceramics in a split Hopkinson pressure bar. J. Am. Ceram. Soc. 77, 263–267 (1994)

    Article  Google Scholar 

  14. Wang, L.L.: Foundations of Stress Waves. Elsevier, Amsterdam (2007)

    Google Scholar 

  15. Guo, S., Nesterenko, W.G., Indrakanti, V.F., Gu, Y.B.: Dynamic response of conventional and hot isostatically pressed Ti–6Al–4V alloys: experiments and modeling. Mech. Mater. 33, 425–439 (2001)

    Article  Google Scholar 

  16. Khan, A.S., Kazmi, R., Farrokh, B., Zupan, M.: Effect of oxygen content and microstructure on the thermo-mechanical response of three Ti6Al4V alloys: experiments and modeling over a wide range of strain-rates and temperatures. Int. J. Plast. 23, 1105–1125 (2007)

    Article  Google Scholar 

  17. Tabei, A., Abed, F.H., Voyiadjis, G.Z., Garmestani, H.: Constitutive modeling of Ti–6Al–4V at a wide range of temperatures and strain rates. Eur. J. Mech. 63, 128–135 (2017)

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully thank the financial support by National Natural Science Foundation of China (#11602202, #11527803 and #11602201).

Author information

Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Department of Engineering Mechanics, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, China

    Yinggang Miao

  2. Joint International Research Laboratory of Impact Dynamics and Its Engineering Applications, School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Yinggang Miao, Bing Du & Muhammad Zakir Sheikh

  3. Shaanxi Key Laboratory of Impact Dynamics and Its Engineering Application, School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Yinggang Miao

Authors
  1. Yinggang Miao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bing Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Muhammad Zakir Sheikh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yinggang Miao.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Miao, Y., Du, B. & Sheikh, M.Z. On measuring the dynamic elastic modulus for metallic materials using stress wave loading techniques. Arch Appl Mech 88, 1953–1964 (2018). https://doi.org/10.1007/s00419-018-1422-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-018-1422-6

Keywords

Search

Navigation