ZHOU Yan, ZHANG Cai-gui, YANG Jing-rui, WANG Qi-zhi. Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks[J]. Applied Mathematics and Mechanics, 2015, 36(1): 16-30. doi: 10.3879/j.issn.1000-0887.2015.01.002
Citation: ZHOU Yan, ZHANG Cai-gui, YANG Jing-rui, WANG Qi-zhi. Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks[J]. Applied Mathematics and Mechanics, 2015, 36(1): 16-30. doi: 10.3879/j.issn.1000-0887.2015.01.002

Comprehensive Calibration of the Stress Intensity Factor for the Holed Flattened Brazilian Disc With an Inner Single Crack or Double Cracks

doi: 10.3879/j.issn.1000-0887.2015.01.002
Funds:  The National Natural Science Foundation of China(51179115)
  • Received Date: 2014-03-25
  • Publish Date: 2015-01-15
  • Previously the circular ring specimen containing an inner single radial crack subjected to diametrically compressive loading had been studied, here it was modified with a pair of parallel flattened facets, which were beneficial to loading, to form a newtype specimen―the holed single cracked flattened Brazilian disc (HSCFBD). In addition, the holed (double) cracked flattened Brazilian disc (HCFBD) was further investigated. The dimensionless stress intensity factors of HSCFBD and HCFBD with different inner-radius-to-outer-radius ratios, different dimensionless crack lengths and different flattened angles, were comprehensively calibrated through finite element simulation, and the curve-fitting formulas of the factor were given. The relative errors between the fitting formulas and the numerical calibration results were within ±1.39%. The effects of geometric factors on the dimensionless stress intensity factor were also analyzed. The results show that the dimensionless stress intensity factor increases with the inner-radius-to-outer-radius ratio, and decreases with the flattened angle. According to the varying law of the stress intensity factor, the specimen parameters of HSCFBD and HCFBD were recommended for testing the mode-I fracture toughness. The preliminary test of HCFBD specimens was carried out for a sand stone, and the comparative test of CCNBD specimens suggested by the International Society for Rock Mechanics was also conducted.
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  • [1]
    于骁中. 岩石和混凝土断裂力学[M]. 长沙: 中南工业大学出版社,1991.(YU Xiao-zhong. Rock and Concrete Fracture Mechanics [M]. Changsha: Central South University of Technology Press, 1991.(in Chinese))
    [2]
    American Society for Testing and Materials Standard E399-12. Standard test method for linear-elastic plane-strain fracture toughness KIC of metallic materials[S]. 3.1.2, ASTM International West Conshohocken, PA, USA, 2012.
    [3]
    Frankin J A, SUN Zong-qi, Atkinson B K, Meredith P C, Rummel F, Mueller W, Nishimatsu Y, Takahahsi H, Costin L S, Ingraffea A R, Bobrov G F. Suggested methods for determining the fracture toughness of rock[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1988,25(2): 71-96.
    [4]
    Fowell R J. Suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc(CCNBD) specimens[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1995,32(1): 57-64.
    [5]
    Kuruppu M D, Obara Y, Ayatollahi M R, Chong K P, Funatsu T. ISRM-Suggested method for determining the mode I static fracture toughness using semi-circular bend specimen[J]. Rock Mechanics Rock Engineering,2014,47(1): 267-274.
    [6]
    CHEN Mian, ZHANG Guang-qing. Laboratory measurement and interpretation of the fracture toughness of formation rocks at great depth[J]. Journal of Petroleum Science and Engineering,2004,41(1/3): 221-231.
    [7]
    李银平, 王元汉, 陈龙珠, 余飞, 李亮辉. 含预制裂纹大理岩的压剪试验分析[J]. 岩土工程学报, 2004,26(1): 1120-1124.(LI Yin-ping, WANG Yuan-han, CHEN Long-zhu, YU Fei, LI Liang-hui. Experimental research on pre-existing cracks in marble under compression[J]. Chinese of Journal of Geotechnical Engineering,2004,26(1): 1120-1124.(in Chinese))
    [8]
    Ahmad J, Ashbaugh N E. Constant KI crack-propagation test specimens[J]. International Journal of Fracture,1982,19(2): 115-129.
    [9]
    Tang T X, Bazant Z P, Yang S C, Zollinger D. Variable-notch one-size test method for fracture energy and process zone length[J]. Engineering Fracture Mechanics,1996,55(3): 383-404.
    [10]
    Hobbs D W. The tensile strength of rocks[J]. International Journal of Rock Mechanics and Mining Sciences,1964,1(3): 385-396.
    [11]
    Fischer M P, Elsworth D, Alley R B, Engelder T. Finite element analysis of the modified ring rest for determining mode I fracture toughness[J]. International Journal of Rock Mechanics and Mining Sciences,1996,33(1): 1-15.
    [12]
    张盛, 王启智. 用五种圆盘试件的劈裂试验确定岩石断裂韧度[J]. 岩土力学,2009,30(1): 12-18.(ZHANG Sheng, WANG Qi-zhi. Determination of rock fracture toughness by split test using five types of disc specimens[J].Rock and Soil Mechanics,2009,30(1): 12-18.(in Chinese))
    [13]
    Kourkoulis S K, Markides Ch F. Stresses and displacements in a circular ring under parabolic diametral compression[J].International Journal of Rock Mechanics and Mining Sciences,2014,71: 272-292.
    [14]
    Chen C H, Chen C S, Wu J H. Fracture toughness analysis on cracked ring disks of anisotropic rock[J].Rock Mechanics Rock Engineering,2008,41(4): 539-562.
    [15]
    Aliha M R M, Ayatollahi M R, Pakzad R. Brittle fracture analysis using a ring shape specimen containing two angled cracks[J]. International Journal of Fracture,2008,153(1): 63-68.
    [16]
    苟小平, 杨井瑞, 王启智. 基于P-CCNBD试样的岩石动态断裂韧度测试方法[J]. 岩土力学, 2013,34(9): 2450-2466.(GOU Xiao-ping, YANG Jing-rui, WANG Qi-zhi. Test method of rock dynamic fracture toughness based on using P-CCNBD specimen[J]. Rock and Soil Mechanics,2013,34(9): 2450-2466.(in Chinese))
    [17]
    樊鸿, 张盛, 苟小平, 王启智. 岩石断裂韧度试样CCNBD临界应力强度因子的全新数值标定[J]. 应用力学学报, 2011,28(4):416-422.(FAN Hong, ZHANG Sheng, GOU Xiao-ping, WANG Qi-zhi. A completely new numerical calibration of the critical stress intensity factor for the CCNBD specimens used in rock fracture toughness test[J]. Chinese Journal of Applied Mechanics,2011,28(4): 416-422.(in Chinese))
    [18]
    崔振东, 刘大安, 安光明, 周苗. 岩石I型断裂韧度测试方法研究进展[J]. 测试技术学报, 2009,23(3): 189-196.(CUI Zhen-dong, LIU Da-an, AN Guang-ming, ZHOU Miao. Research progress in mode-I fracture toughness testing methods for rocks[J]. Journal of Test and Measurement Technology,2009,23(3): 189-196.(in Chinese))
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