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Predicting the Dynamic Compressive Strength of Carbonate Rocks from Quasi-Static Properties

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Abstract

In this study, the split Hopkinson pressure bar testing method was used to quantify the dynamic strength characteristics of rocks with short cylindrical specimens. Seventy dynamic compression tests were conducted on 10 different carbonate rocks with the split Hopkinson pressure bar apparatus. Experimental procedure for testing dynamic compressive strength and elastic behaviour of rock material at high strain rate loading is presented in the paper. Pulse-shaper technique was adopted to obtain dynamic stress equilibrium at the ends of the sample and to provide nearly a constant strain rate during the dynamic loading. In addition to dynamic tests, the physical properties covering bulk density, effective porosity, P-wave velocity and Schmidt hardness of rocks, and mechanical properties such as quasi-static compressive strength and tensile strength were determined through standard testing methods. Multiple linear regression analyses were carried out to investigate the variation of dynamic compressive strength depending on physical and mechanical properties of rocks and loading rate. A three parameter model was found to be simple and provided the best surface fit to data. It was found that dynamic compressive strength of rocks increases with increase in loading rate and/or increase in rock property values except porosity. Statistical tests of regression results showed that quasi-static compressive strength and Schmidt hardness are most significant rock properties to adequately predict the dynamic compressive strength value among the other properties. However, P-wave velocity, quasi-static tensile strength of rocks could also be used to estimate the dynamic compressive strength value of rocks, as well, except the bulk density and effective porosity.

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References

  1. Zhou Z, Li X, Ye Z, Liu K (2010) Obtaining constitutive relationship for rate-dependent rock in SHPB tests. Rock Mech Rock Eng 43(6):697–706

    Article  Google Scholar 

  2. Wang QZ, Li W, Song XL (2006) A method for testing dynamic tensile strength and elastic modulus of rock materials using SHPB. Pure Appl Geophys 163:1091–1100

    Article  Google Scholar 

  3. Zhu WC (2008) Numerical modelling of the effect of rock heterogeneity on dynamic tensile strength. Rock Mech Rock Eng 41(5):771–779

    Article  Google Scholar 

  4. Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of strain. Proc R Phys Soc B 62:676–700

    Article  Google Scholar 

  5. Dai F, Huang S, Xia K, Tan Z (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

    Article  Google Scholar 

  6. Kumar A, Mies LTS, Pengjun Z (2004) Design of an impact striker for a split Hopkinson pressure bar. J Inst Eng 44(1):119–130

    Google Scholar 

  7. Zhao H (2003) Material behavior characterization using SHPB techniques, tests and simulations. Comp Struct 81:1301–1310

    Article  Google Scholar 

  8. Gray GT (2000) Classic Split-Hopkinson pressure bar testing. Mechanical Testing and Evaluation, Metals Handbook, American Society for Metals, Materials Park, OH, 8:462–476

  9. Brown EN, Willms RB, Gray GT, Rae PJ, Cady CM, Vecchio KS, Flowers J, Martinez MY (2007) Influence of molecular conformation on the constitutive response of polyethylene: a comparison of HDPE, UHMWPE, and PEX. Exp Mech 47(3):381–393

    Article  Google Scholar 

  10. Vecchio KS, Jiang F (2007) Improved pulse shaping to achieve constant strain rate and stress equilibrium in split-Hopkinson pressure bar testing. Metall Mater Trans 38(11):2655–2665

    Article  Google Scholar 

  11. Pan Y, Chen W, Song B (2005) Upper limit of constant strain rates in a split Hopkinson pressure bar experiment with elastic specimens. Exp Mech 45(5):440–446

    Article  Google Scholar 

  12. Frew DJ, Forrestal MJ, Chen W (2001) A split Hopkinson pressure bar technique to determine compressive stress–strain data for rock materials. Exp Mech 41(1):40–46

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. Forrestal MJ, Wright TW, Chen W (2007) The effect of radial inertia on brittle samples during the split Hopkinson pressure bar test. Int J Impact Eng 34(3):405–411

    Article  Google Scholar 

  15. Christensen RJ, Swansow SR, Brown WS (1972) Split Hopkinson bar test on rock under confining pressure. Exp Mech 12:508–513

    Article  Google Scholar 

  16. Shan R, Jiang Y, Li B (2000) Obtaining dynamic complete stress–strain curves for rock using the split Hopkinson pressure bar technique. Int J Rock Mech Min Sci 37:983–992

    Article  Google Scholar 

  17. Li XB, Hong L, Yin TB, Zhou Z, Ye Z (2008) Relationship between diameter of split Hopkinson pressure bar and minimum loading rate under rock failure. J Cent South Univ Technol 15:218–223

    Article  Google Scholar 

  18. Zhai Y, Ma G, Zhao J, Hu C (2008) Dynamic failure analysis on granite under uniaxial impact compressive load. Front Architect Civ Eng China 2(3):253–260

    Article  Google Scholar 

  19. Bohloli B (1997) Effects of the geological parameters on rock blasting using the Hopkinson split bar. Int J Rock Mech Min Sci 34(3–4):321–9

    Google Scholar 

  20. Xia K, Nasseri MHB, Mohanty B, Lu F, Chen R, Luo SN (2008) Effects of microstructures on dynamic compression of Barre granite. Int J Rock Mech Min 45:879–887

    Article  Google Scholar 

  21. Demirdag S, Tufekci K, Kayacan R, Yavuz H, Altindag R (2010) Dynamic mechanical behavior of some carbonate rocks. Int J Rock Mech Min Sci 47:307–312

    Article  Google Scholar 

  22. Gong QM, Zhao J (2009) Development of a rock mass characteristics model for TBM penetration rate prediction. Int J Rock Mech Min Sci 46:8–18

    Article  Google Scholar 

  23. Kahraman S, Fener M, Gunaydin O (2004) Predicting the sawability of carbonate rocks using multiple curvilinear regression analysis. Int J Rock Mech Min Sci 41:1123–1131

    Article  Google Scholar 

  24. Kahraman S, Balcı C, Yazıcı S, Bilgin N (2000) Prediction of the penetration rate of rotary blast hole drills using a new drillability index. Int J Rock Mech Min Sci 37:729–743

    Article  Google Scholar 

  25. Buyuksagis IS (2007) Effect of cutting mode on the sawability of granites using segmented circular diamond sawblade. J Mater Proc Tech 183:399–406

    Article  Google Scholar 

  26. Meyers MA (1994) Dynamic behavior of materials. John Wiley & Sons p. 668

  27. ISRM (International Society for RockMechanics (1981) Rock characterisation, testing and monitoring. In: Brown ET (ed) ISRM suggested methods. Pergamon, Oxford, p 211

    Google Scholar 

  28. TSE 699 (1987) Methods of testing for natural building stones. Institute of Turkish Standards; Türk Standartları Enstitüsü (TSE).

  29. Snedecor GW (1989) Statistical methods. Iowa State University, Ames, p 503

    Google Scholar 

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Authors and Affiliations

  1. Mining Engineering Department, Suleyman Demirel University, 32260, Isparta, Turkey

    H. Yavuz & H. Cevizci

  2. Mechanical Engineering Department, Suleyman Demirel University, 32260, Isparta, Turkey

    K. Tufekci & R. Kayacan

Authors
  1. H. Yavuz
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  2. K. Tufekci
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  3. R. Kayacan
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  4. H. Cevizci
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Correspondence to H. Yavuz.

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Yavuz, H., Tufekci, K., Kayacan, R. et al. Predicting the Dynamic Compressive Strength of Carbonate Rocks from Quasi-Static Properties. Exp Mech 53, 367–376 (2013). https://doi.org/10.1007/s11340-012-9648-7

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  • DOI: https://doi.org/10.1007/s11340-012-9648-7

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