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Evaluation of the Stress Equilibrium Condition in Axially Constrained Triaxial SHPB Tests

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Abstract

Over the years many improvements and modifications have been made to the split Hopkinson pressure bar (SHPB). For example, the triaxial SHPB has been developed and used to study various materials. The dynamic stress equilibrium condition for conventional SHPB tests has been well studied in the literature. However, the stress equilibrium in the axially constraint triaxial SHPB tests requires careful examination because the wave propagation is affected by the axial pre-load stress. In this study, we analyzed the stress equilibrium condition in such cases using stress wave analysis and numerical simulations. Based on the study, we offer methods and suggestions for performing valid stress equilibrium assessment in axially constrained triaxial SHPB tests.

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References

  1. Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc R Soc London Ser: Math Phys Sci B62:676–700

    Article  Google Scholar 

  2. Christensen RJ, Swanson SR, Brown WS (1972) Split Hopkinson bar tests on rock under confining pressure. Exp Mech 12(11):508–541. https://doi.org/10.1007/BF02320747

    Article  Google Scholar 

  3. Lindholm US, Yeakley LM, Nagy A (1974) Dynamic strength and fracture properties of Dresser basalt. Int J Rock Mech Min Sci 11(5):181–191. https://doi.org/10.1016/0148-9062(74)90885-7

    Article  Google Scholar 

  4. Li XB, Zhou ZL, Lok TS, Hong L, Yin TB (2008) Innovative testing technique of rock subjected to coupled static and dynamic loads. Int J Rock Mech Min Sci 45(5):739–748. https://doi.org/10.1016/j.ijrmms.2007.08.013

    Article  Google Scholar 

  5. Wu BB, Yao W, Xia KW (2016) An experimental study of dynamic tensile failure of rocks subjected to hydrostatic confinement. Rock Mech Rock Eng 49(10):3855–3864. https://doi.org/10.1007/s00603-016-0946-8

    Article  Google Scholar 

  6. Chen R, Li K, Xia KW, Lin Y, Yao W, Lu F (2016) Dynamic fracture properties of rocks subjected to static pre-load using notched semi-circular bend method. Rock Mech Rock Eng 49(10):3865–3872. https://doi.org/10.1007/s00603-016-0958-4

    Article  Google Scholar 

  7. Chen W, Ravichandran G (1996) An experimental technique for imposing dynamic multiaxial-compression with mechanical confinement. Exp Mech 36(2):155–158. https://doi.org/10.1007/BF02328712

    Article  Google Scholar 

  8. Chen W, Ravichandran G (1997) Dynamic compressive failure of a glass ceramic under lateral confinement. J Mech Phys Solids 45(8):1303–1328. https://doi.org/10.1016/s0022-5096(97)00006-9

    Article  Google Scholar 

  9. Gong J, Malvern L (1990) Passively confined tests of axial dynamic compressive strength of concrete. Exp Mech 30(1):55–59. https://doi.org/10.1007/bf02322703

    Article  Google Scholar 

  10. Chen WW, Song B (2011) Split Hopkinson (Kolsky) bar design, testing and applications. mechanical engineering series. Springer, New York. https://doi.org/10.1007/978-1-4419-7982-7

    Book  MATH  Google Scholar 

  11. Frew DJ, Forrestal MJ, Chen W (2002) Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar. Exp Mech 42(1):93–106. https://doi.org/10.1177/0018512002042001794

    Article  Google Scholar 

  12. Song B, Chen W (2004) Dynamic stress equilibration in split Hopkinson pressure bar tests on soft materials. Exp Mech 44(3):300–312. https://doi.org/10.1177/0014485104041543

    Article  Google Scholar 

  13. Dai F, Huang S, Xia KW, Tan ZY (2010) Some fundamental issues in dynamic compression and tension tests of rocks using split Hopkinson pressure bar. Rock Mech Rock Eng 43(6):657–666. https://doi.org/10.1007/s00603-010-0091-8

    Article  Google Scholar 

  14. Hokka M, Black J, Tkalich D, Fourmeau M, Kane A, Hoang N-H, Li C, Chen W, Kuokkala V-T (2016) Effects of strain rate and confining pressure on the compressive behavior of Kuru granite. Int J Impact Eng 91:183–193. https://doi.org/10.1016/j.ijimpeng.2016.01.010

    Article  Google Scholar 

  15. Kabir ME, Chen WW (2009) Measurement of specimen dimensions and dynamic pressure in dynamic triaxial experiments. Rev Sci Instrum 80(12). https://doi.org/10.1063/1.3271538

  16. Frew DJ, Akers SA, Chen W, Green ML (2010) Development of a dynamic triaxial Kolsky bar. Meas Sci Technol 21(10). https://doi.org/10.1088/0957-0233/21/10/105704

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Acknowledgements

This work was financially supported by National Natural Science Foundation of China (grant no. 11672328) and the opening project of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) with the project number of KFJJ15-04 M. K. Xia acknowledges support from NSERC/Discovery Grant No. 72031326.

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Authors and Affiliations

  1. College of Science, National University of Defense Technology, Changsha, 410073, China

    R. Chen & F. Lu

  2. Department of Civil Engineering and Lassonde Institute, University of Toronto, Toronto, ON, M5S 1A4, Canada

    R. Chen, W. Yao & K. Xia

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  1. R. Chen
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  2. W. Yao
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  3. F. Lu
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  4. K. Xia
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Correspondence to K. Xia.

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Chen, R., Yao, W., Lu, F. et al. Evaluation of the Stress Equilibrium Condition in Axially Constrained Triaxial SHPB Tests. Exp Mech 58, 527–531 (2018). https://doi.org/10.1007/s11340-017-0344-5

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  • DOI: https://doi.org/10.1007/s11340-017-0344-5

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