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Numerical Observation of Three-Dimensional Wing Cracking of Cracked Chevron Notched Brazilian Disc Rock Specimen Subjected to Mixed Mode Loading

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Abstract

The cracked chevron notched Brazilian disc (CCNBD) specimen has been suggested by International Society for Rock Mechanics for measuring mode I fracture toughness of rocks. Subsequently, this specimen geometry has been widely extended to conduct mixed mode fracture tests on rocks as well. A straight through crack front during the fracturing process upon the root of the chevron notch is assumed in the testing principle, but has never been thoroughly evaluated before. In this study, for the first time, the progressive rock fracture mechanism of the CCNBD rock specimen under mixed mode loading is numerically simulated. Specimens under representative mixed mode loading angles are modelled; and the assumption of the straight through crack front growth is critically assessed. The results show that not only the notch tip but also the saw-cut chevron notch cracks during the experiments, yielding a prominent twisted front, far from being straight. The crack front never grows up to the root of the notch ligament and the straight through crack front assumption is never satisfied in the realistic rock fracture progress of this chevron notched specimen subjected to mixed mode loads. In contrast, the fracture progress features typical three-dimensional wing cracking towards the loading ends. The numerically observed progressive fracture mechanism reveals that the measuring principle of mixed mode fracture tests employing CCNBD specimens is significantly violated and the measures of both modes I and II fracture toughness are uncertain.

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References

  • Aliha MRM, Ayatollahi MR (2014) Rock fracture toughness study using cracked chevron notched Brazilian disc specimen under pure modes I and II loading-A statistical approach. Theor Appl Fract Mech 69:17–25

    Article  Google Scholar 

  • Aliha MRM, Ashtari R, Ayatollahi MR (2006) Modes I and II fracture toughness testing for a coarse grain marble. Appl Mech Mater 5–6:181–188

    Article  Google Scholar 

  • Aliha MRM, Ayatollahi MR, Smith DJ, Pavier MJ (2010) Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading. Eng Fract Mech 77(11):2200–2212

    Article  Google Scholar 

  • Aliha MRM, Ayatollahi MR, Akbardoost J (2012) Typical upper bound-lower bound mixed mode fracture resistance envelopes for rock material. Rock Mech Rock Eng 45(1):65–74

    Article  Google Scholar 

  • Alshayea NA, Khan K, Abduljauwad SN (2000) Effects of confining pressure and temperature on mixed-mode (I–II) fracture toughness of a limestone rock. Int J Rock Mech Min 37:629–643

    Article  Google Scholar 

  • Amrollahi H, Baghbanan A, Hashemolhosseini H (2011) Measuring fracture toughness of crystalline marbles under modes I and II and mixed mode I-II loading conditions using CCNBD and HCCD specimens. Int J Rock Mech Min 48(7):1123–1134

    Article  Google Scholar 

  • Anderson TL (2005) Fracture mechanics: fundamentals and applications. CRC Taylor & Francis, New York

  • Atkinson C, Smelser RE, Sanchez J (1982) Combined mode fracture via the cracked Brazilian disk test. Int J Fract 18(4):279–291

    Google Scholar 

  • Awaji H, Sato S (1978) Combined mode fracture toughness measurement by disk test. J Eng Mater T ASME 100(2):175–182

    Article  Google Scholar 

  • Ayatollahi MR, Aliha MRM (2007) Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading. Comput Mater Sci 38(4):660–670

    Article  Google Scholar 

  • Ayatollahi MR, Aliha MRM (2008) On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials. Eng Fract Mech 75:4631–4641

    Article  Google Scholar 

  • Backers T, Stephansson O (2012) ISRM suggested method for the determination of mode II fracture toughness. Rock Mech Rock Eng 45:1011–1022

    Article  Google Scholar 

  • Bažant ZP (2000) Size effect. Int J Solid Struct 37:69–80

    Article  Google Scholar 

  • Chang SH, Lee CI, Jeon S (2002) Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens. Eng Geol 66:79–97

    Article  Google Scholar 

  • Chen CH, Chen CS, Wu JH (2008) Fracture toughness analysis on cracked ring disks of anisotropic rock. Rock Mech Rock Eng 41(4):539–562

    Article  Google Scholar 

  • Chong KP, Kuruppu MD (1988) New specimens for mixed mode fracture investigations of geo materials. Eng Fract Mech 30:701–712

    Article  Google Scholar 

  • Cui ZD, Liu DA, An GM, Sun B, Zhou M, Cao FQ (2010) A comparison of two ISRM suggested chevron notched specimens for testing mode-I rock fracture toughness. Int J Rock Mech Min Sci 47:871–876

    Article  Google Scholar 

  • Dai F, Xia K (2013) Laboratory measurements of the rate dependence of the fracture toughness anisotropy of Barre granite. Int J Rock Mech Min 60:57–65

    Google Scholar 

  • Dai F, Chen R, Iqbal MJ, Xia K (2010) Dynamic cracked chevron notched Brazilian disc method for measuring rock fracture parameters. Int J Rock Mech Min 47(4):606–613

    Article  Google Scholar 

  • Dai F, Xia K, Zheng H, Wang Y (2011) Determination of dynamic rock mode-I fracture parameters using cracked chevron notched semi-circular bend specimen. Eng Fract Mech 78(15):2633–2644

    Article  Google Scholar 

  • Dai F, Wei MD, Xu NW, Ma Y, Yang D (2015) Numerical assessment of the progressive rock fracture mechanism of cracked chevron notched Brazilian disc specimens. Rock Mech Rock Eng 48(2):463–479

    Article  Google Scholar 

  • Erarslan N, Williams DJ (2013) Mixed-mode fracturing of rocks under static and cyclic loading. Rock Mech Rock Eng 46:1035–1052

    Article  Google Scholar 

  • Erarslan N, Liang ZZ, Williams DJ (2012) Experimental and numerical studies on determination of indirect tensile strength of rocks. Rock Mech Rock Eng 45(5):739–751

    Google Scholar 

  • Fowell RJ (1995) ISRM commission on testing methods: suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc (CCNBD) specimens. Int J Rock Mech Min Sci Geomech Abstr 32(1):57–64

    Article  Google Scholar 

  • Fowell RJ, Xu C (1994) The use of the cracked Brazilian disc geometry for rock fracture investigations. Int J Rock Mech Min Sci Geomech Abstr 31(6):571–579

    Article  Google Scholar 

  • Funatsu T, Kuruppu M, Matsui K (2014) Effects of temperature and confining pressure on mixed-mode (I–II) and mode II fracture toughness of Kimachi sandstone. Int J Rock Mech Min 67:1–8

    Google Scholar 

  • Gao X, Shih CF (1998) A parametric study of mixed-mode I/III ductile fracture in tough materials under small scale yielding. Eng Fract Mech 60(4):407–420

    Article  Google Scholar 

  • Ghazvinian A, Nejati HR, Sarfarazi V, Hadei MR (2013) Mixed mode crack propagation in low brittle rock-like materials. Arab J Geosci 6(11):4435–4444

    Article  Google Scholar 

  • Haeria H, Shahriarb K, Marjic MF, Moarefvandb P (2014) Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks. Int J Rock Mech Min 67:20–28

    Google Scholar 

  • Khan K, Al-Shayea NA (2000) Effect of specimen geometry and testing method on mixed I–II fracture toughness of a limestone rock from Saudi Arabia. Rock Mech Rock Eng 33(3):179–206

    Article  Google Scholar 

  • Kuruppu MD, Obara Y, Ayatollahi MR, Chong KP, Funatsu T (2014) ISRM-Suggested method for determining the mode I static fracture toughness using semi-circular bend specimen. Rock Mech Rock Eng 47:267–274

    Article  Google Scholar 

  • Liang ZZ, Xing H, Wang SY, Williams DJ, Tang CA (2012) A three dimensional numerical investigation of fracture of rock specimen containing a pre-existing surface flaw. Comput Geotech 45:19–33

    Article  Google Scholar 

  • Lim IL, Johnston IW, Choi SK, Boland JN (1994a) Fracture testing of a soft rock with semicircular specimens under 3-Point bending.1. Mode-I. Int J Rock Mech Min Sci Geomech Abstr 31(3):185–197

    Article  Google Scholar 

  • Lim IL, Johnston IW, Choi SK, Boland JN (1994b) Fracture testing of a soft rock with semicircular specimens under 3-point bending. 2. Mixed mode. Int J Rock Mech Min Sci Geomech Abstr 31(3):199–212

    Article  Google Scholar 

  • Ouchterlony F (1988) ISRM commission on testing methods; suggested methods for determining fracture toughness of rock. Int J Rock Mech Min Sci Geomech Abstr 25:71–96

    Google Scholar 

  • Shetty DK, Rosenfield AR, Duckworth WH (1985) Fracture toughness of ceramics measured by a chevron-notched diametral-compression test. J Am Ceram Soc 68:c325–c443

    Article  Google Scholar 

  • Tang CA (1997) Numerical simulation of progressive rock failure and associated seismicity. Int J Rock Mech Min Sci 34:249–261

    Article  Google Scholar 

  • Tang CA, Kaiser PK (1998) Numerical simulation of cumulative damage and seismic energy release during brittle rock failure—Part I: fundamentals. Int J Rock Mech Min Sci 35(2):113–121

    Article  Google Scholar 

  • Wang SY, Sloan SW, Tang CA (2014) Three-dimensional numerical investigations of the failure mechanism of a rock disc with a central or eccentric hole. Rock Mech Rock Eng 47(6):2117–2137

    Article  Google Scholar 

  • Wei MD, Dai F, Xu NW, Xu Y, Xia K (2015) Three-dimensional numerical evaluation of the progressive fracture mechanism of cracked chevron notched semi-circular bend rock specimens. Eng Fract Mech 134:286–303

    Article  Google Scholar 

  • Weibull W (1939) A statistical theory of the strength of materials. Ing Vet Ak Handl 151:5–44

    Google Scholar 

  • Whittaker BN, Singh RN, Sun G (1992) Rock fracture mechanics: principles, design and applications, developments in geotechnical engineering. Elsevier, Amsterdam

    Google Scholar 

  • Xu NW, Tang CA, Li H, Dai F, Ma K, Shao JD, Wu JC (2012) Excavation-induced microseismicity: microseismic monitoring and numerical simulation. J Zhejiang Univ SCI A 13(6):445–460

    Article  Google Scholar 

  • Xu NW, Dai F, Liang ZZ, Zhou Z, Sha C, Tang CA (2014) The dynamic evaluation of rock slope stability considering the effects of microseismic damage. Rock Mech Rock Eng 47:621–642

    Article  Google Scholar 

  • Xu NW, Li T, Dai F, Li B, Zhu Y, Yang D (2015) Microseismic monitoring and stability evaluation for the large scale underground caverns of Houziyan hydropower station, southwest China. Eng Geol 188:48–67

    Article  Google Scholar 

  • Zhou YX, Xia K, Li XB, Li HB, Ma GW, Zhao J, Zhou ZL, Dai F (2012) Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials. Int J Rock Mech Min 49:105–112

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful for the financial support from the program for New Century Excellent Talents in University (NCET-13-0382), the National Program on Key basic Research Project (No. 2015CB057903), National Natural Science Foundation of China (No. 51374149) and the Youth Science and Technology Fund of Sichuan Province (2014JQ0004).

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Xu, N.W., Dai, F., Wei, M.D. et al. Numerical Observation of Three-Dimensional Wing Cracking of Cracked Chevron Notched Brazilian Disc Rock Specimen Subjected to Mixed Mode Loading. Rock Mech Rock Eng 49, 79–96 (2016). https://doi.org/10.1007/s00603-015-0736-8

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  • DOI: https://doi.org/10.1007/s00603-015-0736-8

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