Evaluation of Mode I Fracture Toughness Assisted by the Numerical Determination of K-Resistance

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• 作者：Takahiro Funatsu (1)
  Norikazu Shimizu (2)
  Mahinda Kuruppu (3)
  Kikuo Matsui (4)
  
  1. National Institute of Advanced Industrial Science and Technology (AIST) ; Central 7 ; 1-1-1 Higashi ; Tsukuba ; Ibaraki ; 305-8567 ; Japan
  2. Yamaguchi University ; 2-16-1 Tokiwadai ; Ube ; Yamaguchi ; 755-8611 ; Japan
  3. Curtin University ; Locked Bag 30 ; Kalgoorlie ; WA ; 6433 ; Australia
  4. Kyushu University ; 744 Motooka ; Nishi-ku ; Fukuoka ; 819-0395 ; Japan
  
• 关键词：Fracture toughness ; SCB specimen ; Fracture process zone ; DEM ; K ; resistance curve
• 刊名：Rock Mechanics and Rock Engineering
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：48
• 期：1
• 页码：143-157
• 全文大小：6,093 KB
• 参考文献：1. Aliha MRM, Sistaninia M, Smith DJ, Pavier MJ, Ayatollahi (2012) Geometry effects and statistical analysis of mode I fracture in guiting limestone. Int J Rock Mech Min Sci 51:128鈥?35. doi:10.1016/j.ijrmms.2012.01.017 CrossRef
  2. Azevedo NM, Lemos JV (2006) Hybrid discrete element/finite element method for fracture analysis. Comput Methods Appl Mech Eng 195(33鈥?6):4579鈥?593. doi:10.1016/j.cma.2005.10.005 CrossRef
  3. Barker LM (1977) A simplified method for measuring plane strain fracture toughness. Eng Fract Mech 9:361鈥?69 CrossRef
  4. 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(1鈥?):79鈥?7. doi:10.1016/s0013-7952(02)00033-9 CrossRef
  5. Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44(7):997鈥?010. doi:10.1016/j.ijrmms.2007.02.002 CrossRef
  6. Chong KP, Kuruppu MD (1988) New specimens for mixed mode fracture investigations of geomaterials. Eng Fract Mech 30(5):701鈥?12. doi:10.1016/0013-7944(88)90160-9 CrossRef
  7. Chong KP, Kuruppu MD, Kuszmaul JS (1987) Fracture toughness determination of layered materials. Eng Fract Mech 28(1):43鈥?4 CrossRef
  8. Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotech 29(1):47鈥?5 CrossRef
  9. D鈥橝ddetta GA, Kun F, Ramm E (2002) On the application of a discrete model to the fracture process of cohesive granular materials. Granul Matter 4(2):77鈥?0. doi:10.1007/s10035-002-0103-9 CrossRef
  10. Dai F, Xia K, Nasseri MHB, Mohanty B (2007) Crack microcrack interaction and fracture toughness anisotropy in rocks. In: Proceedings of the SEM annual conference and exposition on experimental and applied mechanics, Springfield, MA, USA, June 2007, pp 1383鈥?390
  11. Fowell RJ (1995) 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鈥?4. doi:10.1016/0148-9062(94)00015-U CrossRef
  12. 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鈥?79 CrossRef
  13. Funatsu T, Seto M, Shimada H, Matsui K, Kuruppu M (2004) Combined effects of increasing temperature and confining pressure on the fracture toughness of clay bearing rocks. Int J Rock Mech Min Sci 41(6):927鈥?38. doi:10.1016/j.ijrmms.2004.02.008 CrossRef
  14. Funatsu T, Li Q, Shimizu N, Seto M, Matsui K (2008) Numerical simulation of crack propagation in rock by particle flow code. J MMIJ 124(10鈥?1):611鈥?18 CrossRef
  15. Guo H, Aziz NI, Schmidt LC (1993) Rock fracture-toughness determination by the Brazilian test. Eng Geol 33(3):177鈥?88. doi:10.1016/0013-7952(93)90056-I CrossRef
  16. International Society for Rock Mechanics (ISRM) (1988) Suggested methods for determining the fracture toughness of rock. Int J Rock Mech Min Sci Geomech Abstr 25(2):71鈥?6. doi:10.1016/0148-9062(88)91871-2
  17. Iqbal MJ, Mohanty B (2007) Experimental calibration of ISRM suggested fracture toughness measurement techniques in selected brittle rocks. Rock Mech Rock Eng 40(5):453鈥?75. doi:10.1007/s00603-006-0107-6 CrossRef
  18. Itasca Consulting Group Inc. (2004) Particle flow code in 2-dimensions (PFC2D) version 3.10, Minneapolis, MN
  19. Khan K, Al-Shayea NA (2000) Effect of specimen geometry and testing method on mixed mode I鈥揑I fracture toughness of a limestone rock from Saudi Arabia. Rock Mech Rock Eng 33(3):179鈥?06. doi:10.1007/s006030070006 CrossRef
  20. 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(1):267鈥?74. doi:10.1007/s00603-013-0422-7 CrossRef
  21. Lim IL, Johnston IW, Choi SK, Boland JN (1994) Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 1鈥攎ode I. Int J Rock Mech Min Sci Geomech Abstr 31(3):185鈥?97. doi:10.1016/0148-9062(94)90463-4 CrossRef
  22. Matsuki K, Hasibuan SS, Takahashi H (1991) Specimen size requirements for determining the inherent fracture toughness of rocks according to the ISRM suggested methods. Int J Rock Mech Min Sci Geomech Abstr 28(5):365鈥?74. doi:10.1016/0148-9062(91)90075-W CrossRef
  23. Nasseri MHB, Mohanty B, Young RP (2006) Fracture toughness measurements and acoustic emission activity in brittle rocks. Pure Appl Geophys 163(5鈥?):917鈥?45. doi:10.1007/s00024-006-0064-8 CrossRef
  24. Ouchterlony F (1981) Extension of the compliance and stress intensity formulas for the single edge crack round bar in bending. ASTM STP 745:237鈥?56
  25. Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329鈥?364. doi:10.1016/j.ijrmms.2004.09.011 CrossRef
  26. Schmidt RA (1980) A microcrack model and its significance to hydraulic fracturing and fracture toughness testing. In: Proceedings of the 21st U.S. symposium on rock mechanics (USRMS), Rolla, MO, USA, May 1980, pp 581鈥?90
  27. Tan Y, Yang D, Sheng Y (2009) Discrete element method (DEM) modeling of fracture and damage in the machining process of polycrystalline SiC. J Eur Ceram Soc 29(6):1029鈥?037. doi:10.1016/j.jeurceramsoc.2008.07.060 CrossRef
  28. Tutluoglu L, Keles C (2011) Mode I fracture toughness determination with straight notched disk bending method. Int J Rock Mech Min Sci 48(8):1248鈥?261. doi:10.1016/j.ijrmms.2011.09.019 CrossRef
  29. Wang Q-Z, Xing L (1999) Determination of fracture toughness / K _IC by using the flattened Brazilian disk specimen for rocks. Eng Fract Mech 64:193鈥?01 CrossRef
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geophysics and Geodesy
  Civil Engineering
  
• 出版者：Springer Wien
• ISSN：1434-453X

文摘

The fracture toughness of a rock often varies depending on the specimen shape and the loading type used to measure it. To investigate the mode I fracture toughness using semi-circular bend (SCB) specimens, we experimentally studied the fracture toughness using SCB and chevron bend (CB) specimens, the latter being one of the specimens used extensively as an International Society for Rock Mechanics (ISRM) suggested method, for comparison. The mode I fracture toughness measured using SCB specimens is lower than both the level I and level II fracture toughness values measured using CB specimens. A numerical study based on discontinuum mechanics was conducted using a two-dimensional distinct element method (DEM) for evaluating crack propagation in the SCB specimen during loading. The numerical results indicate subcritical crack growth as well as sudden crack propagation when the load reaches the maximum. A K-resistance curve is drawn using the crack extension and the load at the point of evaluation. The fracture toughness evaluated by the K-resistance curve is in agreement with the level II fracture toughness measured using CB specimens. Therefore, the SCB specimen yields an improved value for fracture toughness when the increase of K-resistance with stable crack propagation is considered.