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Numerical simulation of the fracture process in concrete resulting from deflagration phenomena

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Abstract

This paper investigated the mechanism of fracture in concrete due to the deflagration phenomenon. For this purpose, the electric discharge impulse crushing method was selected, with liquid nitromethane (NM) taken as the deflagration agent. Employing this technique, NM is set inside charge holes and initiated by electric discharge. The pressure generated by the deflagration of NM in a steel chamber was modeled using the Jones–Wilkins–Lee equation of state. The modeled and measured pressures agreed well and the applicability of the pressure model was validated. Then, assuming controlled splitting along the expected fracture surface in concrete, dynamic fracture process analysis (DFPA) based on two-dimensional dynamic finite element method was conducted. The results showed that fracture patterns predicted in the DFPAs agreed well with those obtained from experiments. The mechanism of fracture in concrete due to deflagration was then discussed in terms of the fracture process in the controlled splitting. Owing to stress interference from each charge hole, compressive stress zones (CSZs) formed above and below the middle regions between charge holes where maximum and minimum principle stresses were both in compression. The CSZs was found to be important in obtaining a flatter fracture surface in the case of controlled splitting. In conclusion, the proposed method was shown to be useful for the investigation of the fracture mechanism in the case of the use of deflagration agents and could be useful for the design optimization of such controlled splitting.

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References

  • Abrams DA (1917) Effect of rate of application of load on the compressive strength of concrete. Proc ASTM 17(2): 364–367

    Google Scholar 

  • Andres U (1989) Parameters of disintegration of rock by electrical pulses. Powder Tech 58:265–269

    Article  Google Scholar 

  • Bacon L (1962) A method of determining dynamic tensile strength of rock at minimum loading. USBMRI 6067, 22

    Google Scholar 

  • Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Eng 45(5):601–620

    Article  Google Scholar 

  • Belytschko T, Moës N, Usui S, Parimi C (2001) Arbitrary discontinuities in finite elements. Int J Numer Meth Eng 50(4): 993–1013

    Google Scholar 

  • Bhandari S (1970) Engineer rock blasting operations, 1st edn. Taylor & Francis, UK

    Google Scholar 

  • Birkimer DL (1970) A possible fracture criterion for the dynamic tensile strength of rock. In: Proceedings of 12th Symposium on Rock Mechanics. Rolla, Missouri, pp 573–590

  • Bluhm H, Frey W, Giese H, Hoppe P, Schultheiss C, Strassner R (2000) Application of pulsed HV discharges to material fragmentation and recycling. IEEE Trans Dielectr Electr Insul 7(5):625–636

    Article  CAS  Google Scholar 

  • Borovikov VA, Vanyagin IF (1995) Modelling the effects of blasting on rock breakage. Taylor and Francis, UK

    Google Scholar 

  • Brara A, Camborde F, Klepacxko JR, Mariotti C (2001) Experimental and numerical study of concrete at high strain rates in tension. Mech Mater 33(1):33–45

    Article  Google Scholar 

  • Bulson PS (1997) Explosive loading of engineering structures. Taylor & Francis, UK

    Google Scholar 

  • Camacho GT, Ortiz M (1996) Computational modeling of impact damage in brittle materials. Int J Solids Struct 33:2899–2938

    Article  Google Scholar 

  • Carol I, Prat PC, Lopez CM (1997) Normal/shear cracking model: Application to discrete crack analysis. J Eng Mech 123(8):765–773

    Article  Google Scholar 

  • Cho SH (2003) Dynamic fracture process analysis of rock and its application to fragmentation control in blasting. Hokkaido University, Dissertation

  • Cho SH, Ogata Y, Katsuhiko K (2003a) Strain rate dependency of the dynamic tensile strength of rock. Int J Rock Mech Min Sci 40(5):763–777

    Google Scholar 

  • Cho SH, Nishi M, Yamamoto M, Kaneko K (2003b) Fragment size distribution in blasting. Mater Trans 44(5):951–956

    Google Scholar 

  • Cho SH, Kaneko K (2004) Influence of the applied pressure waveform on the dynamic fracture processes in rock. Int J Rock Mech Min Sci 41(5):771–784

    Article  Google Scholar 

  • Cho SH, Mohanty B, Ito M, Nakamiya Y, Owada S, Kubota S, Ogata Y, Tsubayama A, Yokota M, Kaneko K (2006) Dynamic fragmentation of rock by high-voltage pulses. In: Proceedings of 41st US symposium on rock mechanics. Curran Associates, Inc., 06–1118

  • Cho SH, Nakamura Y, Mohanty B, Yang HS, Kaneko K (2008) Numerical study of fracture plane control in laboratory-scale blasting. Eng Fract Mech 75(13):3966–3984

    Article  Google Scholar 

  • Gálvez JC, Cervenka J, Cendón DA, Saoumad V (2002) A discrete crack approach to normal/shear cracking of concrete. Cem Concr Res 32:1567–1585

    Article  Google Scholar 

  • Grote DL, Park SW, Zhou M (2001) Dynamic behavior of concrete at high strain rates and pressures: I. experimental characterization. Int J Impact Eng 25:869–886

    Article  Google Scholar 

  • Hallquist JO (1998) LS-DYNA theory manual. Livemore Software Technology Corporation, USA

    Google Scholar 

  • Hanchak SJ, Forrestal MJ, Young ER, Erhrgott JQ (1992) Perforation of concrete slabs with 48 MPa (7 ksi) and 140 MPa (20 ksi) unconfined compressive strengths. Int J Impact Eng 12:1–7

    Article  Google Scholar 

  • Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6(6):773–781

    Article  Google Scholar 

  • Hofmann J, Weisse THGG (1997) Pulsed power technologies for commercial materials reduction and crushing applications. In: Proceedings of 11th IEEE international pulsed power Conference, pp 203–207

  • Kaneko K, Matsunaga Y, Yamamoto M (1995) Fracture mechanics analysis of fragmentation process in rock blasting. Kayaku Gakkaishi 56:207–215 (in Japanese with English abstract)

    Google Scholar 

  • Kolsky H (2012) Stress waves in solids, 2nd edn. Dover Publications, New York

    Google Scholar 

  • Lee E, Finger M, Collins W (1973) JWL equation of state coefficients for high explosives. Lawrence Livermore National Laboratory, Livermore, CA, Rept-UCID-16189

  • Lisitsyn IV, Inoue H, Katsuki S, Akiyama H, Nishizawa I (1999) Drilling and Demolition of Rocks by Pulsed Power. In: Proceedings of 12th IEEE international pulsed power conference, vol 1. pp 169–172

  • Malvern LE, Jenkins DA, Tang T, Ross CA (1985) Dynamic compressive testing of concrete. In: Proceedings of 2nd symposium on the interaction of non-nuclear munitions with structures. Florida, USA, pp 194–199

  • Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Meth Eng 46:131–150

    Article  Google Scholar 

  • Narahara S, Namihira T, Nakashima K, Inoue S, Iizasa S, Maeda S, Shigeishi M, Ohtsu M, Akiyama H (2007) Evaluation of concrete made from recycled coarse aggregates by pulsed power discharge. In: Proceedings of 16th IEEE international pulsed power conference, vol 1. pp 748–751

  • Ortiz M, Pandolfi A (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Meth Eng 44:1267–1282

    Google Scholar 

  • Peterson PE (1981) Crack growth and development of fracture zones in plain concrete and similar materials. Lund Institute of Technology, Lund. Report TVBM–100

  • Rinehardt JS (1965) Dynamic fracture strength of rocks. In: Proceedings of 7th symposium on rock mechanics. American Institute of Mining, New York, pp 205–208

  • Rim GH, Cho CH, Lee HS, Pavlov EP (1999) An electric-blast system for rock fragmentation. In: Proceedings of 12th IEEE international pulsed power conference, vol 1. pp 165–168

  • Ross CA, Tedesco JW, Kuennen ST (1995) Effects of strain rate on concrete strength. ACI Mater J 92:37–47

    Google Scholar 

  • Rossi P (1991) A physical phenomena which can explain the mechanical behavior of concrete under high strain rates. Mater Struct 24:422–424

    Google Scholar 

  • 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  Google Scholar 

  • Rustan A (1998) Rock blasting terms and symbols: a dictionary of symbols and terms in rock blasting and related areas like drilling, mining and rock mechanics. Taylor and Francis, UK

  • Sasaki K, Kitajima H, Maehata H, Sakamoto R, Kubota S (2011) Development of splitting technology by using electric discharge impulse crushing system. In: 37th annual conference on explosives and blasting technique, pp 301–311

  • Segura JM, Carol I (2010) Numerical modelling of pressurized fracture evolution in concrete using zero-thickness interface elements. Eng Fract Mech 77:1386–1399

    Article  Google Scholar 

  • Shao P, Sheng P, Zhou JS, Long JK, Wu YQ (2010) Applying high voltage pulse discharge in rock blasting: theoretical problems. In: 2nd international conference on computer engineering and technology (ICCET), vol 5. pp 349–353

  • Song JH, Wang H, Belytschko T (2008) A comparative study on finite element methods for dynamic fracture. Comput Mech 42:239–250

    Google Scholar 

  • Song JH, Belytschko T (2009) Cracking node method for dynamic fracture with finite elements. Int J Numer Meth Eng 77:360–385

    Article  Google Scholar 

  • Stiehr JF, Dean JL (2011) ISEE blasters’ handbook, 18th edn. International Society of Explosives, Cleveland

    Google Scholar 

  • Stolarska M, Chopp DL, Moës N, Belytschko T (2001) Modeling crack growth by level sets in the extended finite element method. Int J Numer Meth Eng 51:943–960

    Google Scholar 

  • Tanaka K (1985) Detonation properties of high explosives calculated by revised Kihara-Hikita equation of state. In: Proceedings 8th symposium (international) on detonation. pp 548–557

  • Tanaka K (2003) Detonation properties of condensed materials (KHT 2003). http://riodb.ibase.aist.go.jp/ChemTherm/kht_e.htm Accessed 28 Aug 2012

  • Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293–297

    Google Scholar 

  • Weise THGG, Loffler JM (1993) Experimental investigations on rock fractioning by replacing explosives with electrically generated pressure pulses. In: Proceedings of 9th IEEE international pulsed power conference. Digest of Technical papers, vol 1. pp 19–22

  • Xu XP, Needleman A (1994) Numerical simulation of fast crack growth in brittle solids. J Mech Phys Solids 42:1397–1434

    Article  Google Scholar 

  • Yamamoto M, Ichijo T, Inaba T, Morooka K, Kaneko K (1999) Experimental and theoretical study on smooth blasting with electronic delay detonators. Fragblast 3(1):3–24

    Article  Google Scholar 

  • Zhang ZX, Kou SQ, Jiang LG, Lindqvist PA (2000) Effects of loading rate on rock fracture: fracture characteristics and energy partitioning. Int J Rock Mech Min Sci 37:745–762

    Article  Google Scholar 

Download references

Acknowledgments

The first author appreciates support received in the form of Research Fellowships from the Japan Society for the Promotion of Science for Young Scientists.

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Correspondence to Daisuke Fukuda.

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Fukuda, D., Moriya, K., Kaneko, K. et al. Numerical simulation of the fracture process in concrete resulting from deflagration phenomena. Int J Fract 180, 163–175 (2013). https://doi.org/10.1007/s10704-013-9809-4

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  • DOI: https://doi.org/10.1007/s10704-013-9809-4

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