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Rock Dynamic Fracture Toughness Tested with Holed-Cracked Flattened Brazilian Discs Diametrically Impacted by SHPB and its Size Effect

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An Erratum to this article was published on 18 September 2009

Abstract

Dynamic fracture initiation toughness of marble was tested using two types of the holed-cracked flattened Brazilian disc (HCFBD) specimens, which were diametrically impacted at the flat end of the disc by the split Hopkinson pressure bar (SHPB) of 100 mm diameter. One type of the discs is geometrically similar with different outside diameter of 42 mm, 80 mm, 122 mm and 155 mm respectively, and with crack length being half the diameter; another type of the discs has identical 80 mm diameter and different crack length. Issues associated with determination of the stress wave loading by the SHPB system and the crack initiation time in the disc specimen were resolved using strain gage technique. The stress waves recorded on the bars and the disc failure patterns are shown and explained. The tested dynamic fracture toughness increases obviously with increasing diameter for the geometrically similar HCFBD specimens. It changes moderately for the one-size specimens of identical diameter and different crack length. The size effect of rock dynamic fracture toughness is mainly caused by the fracture process zone length l and fracture incubation time τ, the latter being an additional influencing factor for the dynamic loading as compared with the counterpart static situation. Hence a method is proposed to determine a unique value for the dynamic fracture initiation toughness, the approach takes average of the local distribution and time history for dynamic stress intensity factor in the spatial-temporal domain, which is defined by l and τ jointly. In this way the dynamic size effect is minimized.

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References

  1. Freund LB (1998) Dynamic fracture mechanics. Cambridge University Press, Cambridge

    Google Scholar 

  2. Yokoyama T, Kishida K (1989) Novel impact three-point bend test method for determining dynamic fracture-initiation toughness. Exp Mech 6:188–194

    Article  Google Scholar 

  3. Popelar CH, Anderson CE Jr, Nagy A (2000) An experimental method for determining dynamic fracture toughness. Exp Mech 40(4):99–104

    Article  Google Scholar 

  4. Jiang FC, Vecchio KS (2007) Experimental investigation of dynamic effects in a two-bar/three-point bend fracture test. Rev Sci Instrum 78:0623903

    Google Scholar 

  5. Nakano M, Kishida K, Yamauchi Y, Sogabe Y. Dynamic fracture initiation in brittle materials under combined mode I/II loading, Journal De Physique IV, 1994, Collogue C8, 695–700.

  6. Lambert DE, Ross CA (2000) Strain rate effects on dynamic fracture and strength. Int J Impact Eng 24:985–998

    Article  Google Scholar 

  7. Bazant ZP, Chen EP (1997) Scaling of structure failure. Appl Mech Rev 50:593–627

    Article  Google Scholar 

  8. Carpinteri A, Cornetti P, Puzzi S (2006) Scaling laws and multiscale approach in the mechanics of heterogeneous and disordered material. Appl Mech Rev 59:283–304

    Article  Google Scholar 

  9. Petrov YV, Morozov NY, Smirnov VI (2003) Structural macro mechanics approach in dynamics of fracture. Fatigue Frac Eng Mater Struct 26:363–372

    Article  Google Scholar 

  10. Ruiz G, Ortiz M, Pandolfi A (2000) Three-dimensional finite-element simulation of the dynamic Brazilian tests on concrete cylinders. Int J Numer Meth Eng 48:963–994

    Article  MATH  Google Scholar 

  11. Pugno NM (2006) Dynamic quantized fracture mechanics. Int J Fract 140:159–168

    Article  MATH  Google Scholar 

  12. Elfahal MM, Krauthammer T et al (2005) Size effect for normal strength concrete cylinders subjected to axial impact. Int J Impact Eng 31:461–481

    Article  Google Scholar 

  13. Krauthammer T, Elfahal MM, Lim JH, Ohno T, Beppu M, Markeset G (2003) Size effect in high-strength concrete cylinders subjected to axial impact. Int J Impact Eng 28:1001–1016

    Article  Google Scholar 

  14. Elfahal MM, Krauthammer T (2005) Dynamic size effect in normal- and high-strength concrete cylinders. ACI Materials Journal 102(2):77–85

    Google Scholar 

  15. Bindiganavile V, Banthia N (2004) A comment on the paper, “Size effect for high-strength concrete cylinders subjected to axial impact”by T. Krauthammer et al. Int J Impact Eng 30:873–875

    Article  Google Scholar 

  16. Elfahal MM, Krauthammer T (2004) Authors’ reply to comment on: “Size effect for high-strength concrete cylinders subjected to axial impact”. Int J Impact Eng 30:877–880

    Article  Google Scholar 

  17. Wang QZ, Li W, Xie HP (2009) Dynamic split tensile test of flattened Brazilian disc of rock with SHPB setup. Mech Mater 41:252–260

    Article  Google Scholar 

  18. Bazant ZP, Kazemi MT (1991) Size dependence of concrete fracture energy determined by RILEM work-of-fracture method. Int J Fract 51(2):121–138

    Google Scholar 

  19. Kalthoff JF, Shockey DA (1977) Instability of cracks under impulse loads. J Appl Phys 48:986–993

    Article  Google Scholar 

  20. Wecharatana M, Shah SP (1980) Slow crack growth in cement composites. Journal of Structure. ASCE 106(2):42–55

    Google Scholar 

  21. Alexander MG, Blight GE (1986) The use of small and large beams for evaluating concrete fracture characteristics. In: Wittmann FH (ed) Fracture toughness and fracture energy. Elsevier, Amsterdam, pp 323–332

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu, Sichuan, 610065, China

    Q. Z. Wang, S. Zhang & H. P. Xie

  2. State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu, Sichuan, 610065, China

    Q. Z. Wang

  3. Department of Mining Engineering, Henan Polytechnic University, Jiaozhuo, Henan, 454001, China

    S. Zhang

Authors
  1. Q. Z. Wang
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  2. S. Zhang
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  3. H. P. Xie
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Correspondence to Q. Z. Wang.

Additional information

This paper is an improved version of the manuscript presented in SEM XI International Congress & Exposition on Experimental & Applied Mechanics, Orlando, Florida USA, June 2–5, 2008.

An erratum to this article can be found at http://dx.doi.org/10.1007/s11340-009-9292-z

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Wang, Q.Z., Zhang, S. & Xie, H.P. Rock Dynamic Fracture Toughness Tested with Holed-Cracked Flattened Brazilian Discs Diametrically Impacted by SHPB and its Size Effect. Exp Mech 50, 877–885 (2010). https://doi.org/10.1007/s11340-009-9265-2

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  • DOI: https://doi.org/10.1007/s11340-009-9265-2

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