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

ZHOU Yan; ZHANG Cai-gui; YANG Jing-rui; WANG Qi-zhi

doi:10.3879/j.issn.1000-0887.2015.01.002

Volume 36 Issue 1

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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

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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

¹Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, P.R.China;²State Key Laboratory of Hydraulics and Mountain River Engineering(Sichuan University), Chengdu 610065, P.R.China)

Funds: The National Natural Science Foundation of China（51179115）

Received Date: 2014-03-25
Publish Date: 2015-01-15

Abstract

Abstract

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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References(18)

References

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