8 工程科学学报,第44卷,第X期 specimen for calculating mixed mode I-II fracture toughness of [23]Tang S B.Stress intensity factors for a Brazilian disc with a central rock materials.Eng Fract Mech,2008,75(16):4631 crack subjected to compression.Int J Rock Mech Min Sci,2017, [12]Hua W,Dong S M,Peng F,et al.Experimental investigation on 93:38 the effect of wetting-drying cycles on mixed mode fracture [24]Dong Z,Tang S B.Effect of confining pressure and diametrical toughness of sandstone.Int Rock Mech Min Sci,2017,93:242 force on stress intensity fracture in central cracked disk.ChinJ [13]Yin T B,Wu Y,Wang C,et al.Mixed-mode I+Il tensile fracture Comput Mech,2018,35(2):168 analysis of thermally treated granite using straight-through notch (董卓,唐世斌.围压与径向荷载共同作用下巴西盘裂纹应力强 Brazilian disc specimens.Eng Fract Mech,2020,234:107111 度因子的解析解.计算力学学报,2018,35(2):168) [14]Awaji H,Sato S.Combined mode fracture toughness measurement [25]Markides C F,Pazis D N,Kourkoulis S K.Stress intensity factors by the disk test.J Eng Mater Technol,1978,100(2):175 for the Brazilian disc with a short central crack:Opening versus [15]Dorogoy A.Banks-Sills L.Effect of crack face contact and friction closing cracks.Appl Math Model,2011,35(12):5636 on Brazilian disk specimens-A finite difference solution.Eng [26]Hondros G.The evaluation of Poisson's ratio and the modulus of Fract Mech,2005,72(18):2758 materials of low tensile resistance by the Brazilian (indirect [16]Ayatollahi M R,Aliha M R M.Wide range data for crack tip tensile)test with particular reference to concrete.AustralianJAppl parameters in two disc-type specimens under mixed mode loading. Sci,1959,10(3):243 Comput Mater Sci,2007,38(4):660 [27]Fairhurst C.On the validity of the 'Brazilian'test for brittle [17]Xu J G,Dong S M,Hua W.Effect of confining pressure on stress materials.Int J Rock Mech Min Sci Geomech Abstr,1964,1(4): intensity factors determined by cracked Brazilian disk.Rock Soil 535 Mech,2015,36(7):1959 [28]Hung K M,Ma CC.Theoretical analysis and digital photoelastic (徐积刚,董世明,华文.围压对巴西裂纹圆盘应力强度因子影 measurement of circular disks subjected to partially distributed 响分析.岩土力学,2015,36(7):1959) compressions.Exp Mech,2003,43(2):216 [18]Hua W.Xu J G,Dong S M,et al.Effect of confining pressure on [29]Wei XX,Chau K T.Three dimensional analytical solution for stress intensity factors for cracked Brazilian disk.InJAppl finite circular cylinders subjected to indirect tensile test.InJ Mechanics,2015,7(3):1550051 Solids Struct,,2013,50(14-15):2395 [19]Hua W,Li Y F,Dong S M,et al.T-stress for a centrally cracked [30]Japaridze L.Stress-deformed state of cylindrical specimens during Brazilian disk under confining pressure.Eng Fract Mech,2015 indirect tensile strength testing.J Rock Mech Geotech Eng,2015, 149:37 7(5):509 [20]Hou C.Wang Z Y,Liang W G.et al.Determination of fracture [31]Yu JH.Shang X C.WuPF.Influence of pressure distribution and parameters in center cracked circular discs of concrete under friction on determining mechanical properties in the Brazilian test: diametral loading:A numerical analysis and experimental results Theory and experiment.IntJSolids Struct,2019,161:11 Theor Appl Fract Mech,2016,85:355 [32]Markides C F,Kourkoulis S K.The stress field in a standardized [21]Li Y F,Dong S M,Hua W.T-stress for central cracked Brazilian Brazilian disc:The influence of the loading type acting on the disk subjected to compression.Rock Soil Mech,2016,37(11): actual contact length.Rock Mech Rock Eng,2012,45(2):145 3191 [33]Kourkoulis S K,Markides C F,Chatzistergos P E.The Brazilian (李一凡,董世明,华文.中心裂纹巴西圆盘压缩载荷下T应力研 disc under parabolically varying load:Theoretical and 究.岩土力学,2016,37(11):3191) experimental study of the displacement field.Int J Solids Struct, [22]Hou C,Wang Z Y,Liang W G,et al.Investigation of the effects of 2012,49(7-8):959 confining pressure on SIFs and T-stress for CCBD specimens [34]Yu J H,Shang X C.Analysis of the influence of boundary pressure using the XFEM and the interaction integral method.Eng Fract and friction on determining fracture toughness of shale using Mech,2017,178:279 cracked Brazilian disc test.Eng Fract Mech,2019,212:57specimen for calculating mixed mode I-II fracture toughness of rock materials. Eng Fract Mech, 2008, 75(16): 4631 Hua W, Dong S M, Peng F, et al. Experimental investigation on the effect of wetting-drying cycles on mixed mode fracture toughness of sandstone. Int J Rock Mech Min Sci, 2017, 93: 242 [12] Yin T B, Wu Y, Wang C, et al. Mixed-mode I + II tensile fracture analysis of thermally treated granite using straight-through notch Brazilian disc specimens. Eng Fract Mech, 2020, 234: 107111 [13] Awaji H, Sato S. Combined mode fracture toughness measurement by the disk test. J Eng Mater Technol, 1978, 100(2): 175 [14] Dorogoy A, Banks-Sills L. Effect of crack face contact and friction on Brazilian disk specimens —A finite difference solution. Eng Fract Mech, 2005, 72(18): 2758 [15] Ayatollahi M R, Aliha M R M. Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading. Comput Mater Sci, 2007, 38(4): 660 [16] Xu J G, Dong S M, Hua W. Effect of confining pressure on stress intensity factors determined by cracked Brazilian disk. Rock Soil Mech, 2015, 36(7): 1959 (徐积刚, 董世明, 华文. 围压对巴西裂纹圆盘应力强度因子影 响分析. 岩土力学, 2015, 36(7):1959) [17] Hua W, Xu J G, Dong S M, et al. Effect of confining pressure on stress intensity factors for cracked Brazilian disk. Int J Appl Mechanics, 2015, 7(3): 1550051 [18] Hua W, Li Y F, Dong S M, et al. T-stress for a centrally cracked Brazilian disk under confining pressure. Eng Fract Mech, 2015, 149: 37 [19] Hou C, Wang Z Y, Liang W G, et al. Determination of fracture parameters in center cracked circular discs of concrete under diametral loading: A numerical analysis and experimental results. Theor Appl Fract Mech, 2016, 85: 355 [20] Li Y F, Dong S M, Hua W. T-stress for central cracked Brazilian disk subjected to compression. Rock Soil Mech, 2016, 37(11): 3191 (李一凡, 董世明, 华文. 中心裂纹巴西圆盘压缩载荷下T应力研 究. 岩土力学, 2016, 37(11):3191) [21] Hou C, Wang Z Y, Liang W G, et al. Investigation of the effects of confining pressure on SIFs and T-stress for CCBD specimens using the XFEM and the interaction integral method. Eng Fract Mech, 2017, 178: 279 [22] Tang S B. Stress intensity factors for a Brazilian disc with a central crack subjected to compression. Int J Rock Mech Min Sci, 2017, 93: 38 [23] Dong Z, Tang S B. Effect of confining pressure and diametrical force on stress intensity fracture in central cracked disk. Chin J Comput Mech, 2018, 35(2): 168 (董卓, 唐世斌. 围压与径向荷载共同作用下巴西盘裂纹应力强 度因子的解析解. 计算力学学报, 2018, 35(2):168) [24] Markides C F, Pazis D N, Kourkoulis S K. Stress intensity factors for the Brazilian disc with a short central crack: Opening versus closing cracks. Appl Math Model, 2011, 35(12): 5636 [25] Hondros G. The evaluation of Poisson's ratio and the modulus of materials of low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete. Australian J Appl Sci, 1959, 10(3): 243 [26] Fairhurst C. On the validity of the ‘Brazilian ’ test for brittle materials. Int J Rock Mech Min Sci Geomech Abstr, 1964, 1(4): 535 [27] Hung K M, Ma C C. Theoretical analysis and digital photoelastic measurement of circular disks subjected to partially distributed compressions. Exp Mech, 2003, 43(2): 216 [28] Wei X X, Chau K T. Three dimensional analytical solution for finite circular cylinders subjected to indirect tensile test. Int J Solids Struct, 2013, 50(14-15): 2395 [29] Japaridze L. Stress-deformed state of cylindrical specimens during indirect tensile strength testing. J Rock Mech Geotech Eng, 2015, 7(5): 509 [30] Yu J H, Shang X C, Wu P F. Influence of pressure distribution and friction on determining mechanical properties in the Brazilian test: Theory and experiment. Int J Solids Struct, 2019, 161: 11 [31] Markides C F, Kourkoulis S K. The stress field in a standardized Brazilian disc: The influence of the loading type acting on the actual contact length. Rock Mech Rock Eng, 2012, 45(2): 145 [32] Kourkoulis S K, Markides C F, Chatzistergos P E. The Brazilian disc under parabolically varying load: Theoretical and experimental study of the displacement field. Int J Solids Struct, 2012, 49(7-8): 959 [33] Yu J H, Shang X C. Analysis of the influence of boundary pressure and friction on determining fracture toughness of shale using cracked Brazilian disc test. Eng Fract Mech, 2019, 212: 57 [34] · 8 · 工程科学学报,第 44 卷,第 X 期