Skip to main content
Log in

Dynamic stress equilibration in split Hopkinson pressure bar tests on soft materials

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The condition of dynamic stress equilibrium is not satisfied automatically when a split Hopkinson pressure bar (SHPB) is employed to determine the dynamic properties of soft materials. In order to develop guidelines for the proper design of SHPB experiments under valid testing conditions, an integrated experimental/analytical study has been conducted to examine the process of dynamic stress equilibrium in a soft rubber specimen. Dynamic compressive experiments on a RTV 630 and an ethylene-propylene-diene monomer rubber with a SHPB modified for soft material testing were conducted to determine the effects of specimen thickness and loading rate on the stress equilibrating process. An analytical model was employed to analyze the equilibrating processes observed in experiments. It is found that the incident loading rate dominates the initial non-equilibrium stress state, and the specimen thickness mainly affects the dynamic stress equilibrium after the initial stage.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Kolsky, H., “An Investigation of the Mechanical Properties of Materials at Very High Rates of Loading,” Proc. Phys. Soc. B.,62, 676–700 (1949).

    Article  Google Scholar 

  2. Gray, G.T., “Classic Split-Hopkinson Pressure Bar Testing,” Mechanical Testing and Evaluation Handbook, Vol. 8, American Society for Metals, Materials Park, OH, 488–496 (2000).

    Google Scholar 

  3. Ross, C.A., Jerome, D.M., Tedesco, J.W., and Hughes, M.L., “Moisture and Strain Rate Effects on Concrete Strength,” ACI Mater. J.,93, 293–300 (1996).

    Google Scholar 

  4. Chen, W. and Ravichandran, G., “Static and Dynamic Compressive Behavior of Aluminum Nitride Under Moderate Confinement,” J. Am. Ceram. Soc.,79, 579–584 (1996).

    Article  Google Scholar 

  5. Chen, W. and Ravichandran, G., “Dynamic Compressive Behavior of a Glass Ceramic under Lateral Confinement,” J. Mech. Phys. Solids,45, 1303–1328 (1997).

    Article  Google Scholar 

  6. Chen, W. and Ravichandran, G., “Failure Mode Transition in Ceramics under Dynamic Multiaxial Compression,” Int. J. Fract.,101, 141–159 (2000).

    Article  Google Scholar 

  7. Ninan, L., Tsai, J., and Sun, C.T., “Use of Split Hopkinson Pressure Bar for Testing Off-Axis Composites,” Int. J. Impact Eng.,25, 291–313 (2001).

    Article  Google Scholar 

  8. Chen, W., Zhang, B., and Forrestal, M.J., “A Split Hopkinson Bar Technique for Low-Impedance Materials,” EXPERIMENTAL MECHANICS,39, 81–85 (1999).

    Article  Google Scholar 

  9. Gamby, D. and Chaoufi, J., “Asymptotic Analysis of Wave Propagation in a Finite Viscoplastic Bar,” Acta Mech.,87, 163–178 (1991).

    Article  MATH  Google Scholar 

  10. Zhao, H., Gary, G., and Klepaczko, J.R., “On the Use of a Viscoelastic Split Hopkinson Pressure Bar,” Int. J. Impact Eng.,19, 319–330 (1997).

    Article  Google Scholar 

  11. Sawas, O., Brar, N.S., and Brockman, R.A., “Dynamic Characterization of Compliant Materials Using an All-Polymeric Split Hopkinson Bar,” EXPERIMENTAL MECHANICS,38, 204–210 (1998).

    Article  Google Scholar 

  12. Frew, D.J., Forrestal, M.J., and Chen, W., “A Split Hopkinson Bar Technique to Determine Compressive Stress-Strain Data for Rock Materials,” EXPERIMENTAL MECHANICS,41, 40–46 (2001).

    Article  Google Scholar 

  13. Follansbee, P.S. and Frantz, C., “Wave Propagation in the SHPB”, Trans. ASME, J. Eng. Mater. Technol.,105, 61–66 (1983).

    Article  Google Scholar 

  14. Gong, J.C., Malvern, L.E., and Jenkins, D.A., “Dispersion Investigation in the Split Hopkinson Pressure Bar,” Trans. ASME. J. Eng. Mater. Technol.,112 309–314 (1990).

    Article  Google Scholar 

  15. Gary, G., Klepaczko, J.R. and Zhao, H., “Corrections for Wave Dispersion and Analysis of Small Strains with Split Hopkinson Bar,” Proceedings of the International Symposium of Impact Engineering, Sendai, Japan, 73–78 (1992).

  16. Lifshitz, J.M. and Leber, H., “Data Processing in the Split Hopkinson Pressure Bar Tests,” Int. J. Impact Eng.,15, 723–733 (1994).

    Article  Google Scholar 

  17. Bacon, C., “An Experimental Method for Considering Dispersion and Attenuation in a Viscoelastic Hopkinson Bar,” EXPERIMENTAL MECHANICS,38, 242–249 (1998).

    Google Scholar 

  18. Chen, W., Lu, F., and Zhou, B., “A Quartz Crystal Embedded Split Hopkinson Bar for Soft Materials,” EXPERIMENTAL MECHANICS,40, 1–6 (2000).

    Article  MATH  Google Scholar 

  19. Chen, W., Lu, F., Frew, D.J., and Forestal, M.J. “Dynamic Compression Testing of Soft Materials” Trans. ASME. J. App. Mech.,69, 214–223 (2002).

    MATH  Google Scholar 

  20. Lindholm, U.S., “Some Experiments with the Split Hopkinson Pressure Bar,” J. Mech. Phys. Solids,12, 317–335 (1964).

    Article  Google Scholar 

  21. Gray, G.T., III, Blumenthal, W.R., Trujillo, C.P., and Carpenter, R.W., II, “Influence of Temperature and Strain Rate on the Mechanical Behavior of Adiprene L-100,” J. Phys. IV France Colloq. C3 (DYMAT 97),7, 523–528 (1997).

    Google Scholar 

  22. Gray, G.T. and Blumenthal, W.R., “Split-Hopkinson Pressure Bar Testing of Soft Materials,” Mechanical Testing and Evaluation Handbook, Vol 8, American Society for Metals, Materials Park, OH, 488–496 (2000).

    Google Scholar 

  23. Dioh, N.N., Leevers, P.S., and Williams, J.G., “Thickness Effects in Split Hopkinson Pressure Bar Tests, Polymer,34, 4230–4234 (1993).

    Article  Google Scholar 

  24. Wu, X.J. and Gorham, D.A. “Stress Equilibrium in the Split Hopkinson Pressure Bar Test” J. Phys. IV France Colloq. C3 (DYMAT 97),7, 91–96 (1997).

    Google Scholar 

  25. Valpey-Fisher Corp., The User's Guide to Ultrasound Products, 75 South St., Hopkinton, MA 01748, USA (1994).

  26. Chen, W., Subhash, G., and Ravichandran, G., “Evaluation of Ceramic Speciment Geometries Used in Split Hopkinson Pressure Bar,” DYMAT J.,1, 193–210 (1994).

    Google Scholar 

  27. Ravichandran, G. and Subhash, G., “Critical Appraisal of Limiting Strain Rates for Compression Testing of Ceramics in a Split Hopkinson Pressure Bar,” J. Am. Cerain. Soc.,77, 263–267 (1994).

    Article  Google Scholar 

  28. Meyers, M. A., Dynamic Behavior of Materials, Wiley New York (1994).

    MATH  Google Scholar 

  29. Lakes, R.S., Viscoelastic Solids, CRC Press New York (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, B., Chen, W. Dynamic stress equilibration in split Hopkinson pressure bar tests on soft materials. Experimental Mechanics 44, 300–312 (2004). https://doi.org/10.1007/BF02427897

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02427897

Key words

Navigation