(1. Department of Civil Engineering and Applied Mechanics,Sichuan University,Chengdu,Sichuan 610065,China;2. State Key Laboratory of Hydraulics and Mountain River Engineering,Sichuan University,Chengdu,Sichuan 610065,China)
Abstract:A series of new specimens were proposed for testing the toughness of mode I fractures:flattened ring with edge cracks,semicircular flattened ring with edge cracks,edge cracked semicircular flattened disc,and their counterparts without flattened ends. Finite element method was used to calibrate the dimensionless stress intensity factor of these specimens and analyse and curve fit the variation of the stress intensity factor. The results reveal that for the edge cracked(flattened) ring,the curve of dimensionless stress intensity factor versus dimensionless crack length appear to be ascending succeeded by descending;so the critical point can be identified directly from the corresponding load-displacement curve based on this unique property,bringing convenience for measuring the material?s fracture toughness. The edge cracked flattened semicircular disc also has such property,but wider flattened ends should be chosen. While the edge cracked semicircular disc and edge cracked(flattened) semicircular ring do not have this unique characteristics. In addition,in the preliminary experimental test,the fracture toughness of a sandstone determined with the edge cracked flattened semicircular disc and the edge cracked flattened semicircular ring coincides respectively with the results derived with the specimen suggested by the International Society for Rock Mechanics.
[1] American Society for Testing and Materials Standard. E399—12 Standard test method for linear-elastic plane-strain fracture toughness KIC of metallic materials[S]. West Conshohocken,PA,USA:Annual Book of ASTM Standards,3.1.2,ASTM International,2012.
[2] ISRM Testing Commission(co-ordinator:OUCHTERLONY F). Suggested methods for determining the fracture toughness of rock[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1988,25(2):71–96.
[3] ISRM Testing Commission(co-ordinator: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 and Geomechanics Abstracts,1995,32(1):57–64.
[4] IUNG T,PINEAU A. Dynamic crack propagation and crack arrest investigated with a new specimen geometry,part I:experimental and numerical calculations[J]. Fatigue and Fracture Engineering Materials and Structures,1996,19(11):1 357–1 367.
[5] IUNG T,PINEAU A. Dynamic crack propagation and crack arrest investigated with a new specimen geometry,Part II:Experimental study on a low-alloy ferritic steel[J]. Fatigue and Fracture Engineering Materials and Structures,1996,19(11):1 369–1 381.
[6] WANG Q Z,XING L. Determination of fracture toughness KIC by using the flattened Brazilian disc specimen for rocks[J]. Engineering Fracture Mechanics,1999,64(2):193–201.
[7] 王启智,贾学明. 用平台巴西圆盘试样确定脆性岩石的弹性模量、拉伸强度和断裂韧度—第一部分:解析和数值结果[J]. 岩石力学与工程学报,2002,21(9):1 285–1 289.(WANG Qizhi,JIA Xueming. Determination of elastic modulus,tensile strength and fracture toughness of Brittle rocks by using flattened Brazilian disc specimen,part 1:analytical and numerical results[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(9):1 285–1 289.(in Chinese))
[8] 张 盛,王启智. 采用中心圆孔裂缝平台巴西圆盘确定岩石的动态断裂韧度[J]. 岩土工程学报,2006,28(6):723–728.(ZHANG Sheng,WANG Qizhi. Method for determination of dynamic fracture toughness of rock using holed-cracked flattened disk specimen[J]. Chinese Journal of Geotechnical Engineering,2006,28(6):723–728.(in Chinese))
[9] THIERCELIN M,ROEGIERS J C. Toughness determination with the modified ring test[C]// The 27th US Symposium on Rock Mechanics (USRMS). [S. l.]:American Rock Mechanics Association,1986:128–132.
[10] ISRM Commission on Standardization of Laboratory and Field Tests. Suggested methods for determining tensile strength of rock materials[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1978,15(2):99–103.
[11] 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):2 449–2 460.(GOU Xiaoping,YANG Jingrui,WANG Qizhi. Test method for determining rock dynamic fracture toughness using P-CCNBD specimens[J]. Rock and Soil Mechanics,2013,34(9):2 449–2 460.(in Chinese))
[12] 铁摩辛柯,古地尔. 弹性理论(第三版)[M]. 北京:高等教育出版社,1990:141–143.(TIMOSHENKO S P,GOODIER J N. Theory of elasticity(third edition)[M]. Beijing:China Higher Education Press,1990:141–143.(in Chinese))
[13] 喻 勇,陈 平. 岩石巴西圆盘试验中的空间拉应力分布[J]. 岩土力学,2005,26(12):1 913–1 916.(YU Yong,CHEN Ping. Spatial distribution of tensile stress in Brazilian disc test of rock[J]. Rock and Soil Mechanics,2005,26(12):1 913–1 916.(in Chinese))
[14] WANG Q Z,FAN H,GOU X P,et al. Recalibration and clarification of the formula applied to the ISRM-Suggested CCNBD specimens for testing rock fracture toughness[J]. Rock Mechanics and Rock Engineering,2013,46(2):303–313.