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8 99 -. /01.7 '(+ 0/425 0/393 0/ /802 0/6875 0/6625 0/6875 a(mm) 5/6 5/2 5/76 5 5/2 (MPa) 3/59 3/48 5/85 5/97 7/3 7/1 0/12 0/125 0/117 0/12 0/115 0/125 (MPa) *+, 0/5 0/5 1/25 1/25 1/75 1/75 07 "(3F 5 8 / "-. CF0( KL >, "M G$%M F 4 03" 5K3 F 07 $ G$%M % ( 5*D8.[6] 8 L [ 3 P K;. $ ]$J = 0/ 2543P c + 0 / 2336 (5) 3 0????( " 5????* %????U????/ C???? "??K iu 0?? v????, 5>??* 0?? s(?????8 GF7???=" 20 0J???* JN '??? 5????*D8????KL 5???? (9) '???, " $???K???$.(???8??????".5 U 07 C0( " >, "M 5 * % U / C =" 20 0JM "& 'DB 1/25 >, "M 5;. 5*D8 KL =" 5 8 GF7.5 U (10) ', " $K $.(8 " 5*D8 KL C" >, "M O " C 8 ', " 07 G$9U ]$J [4qg E7 0 ) ( 5*D8 KL"( 8 0o" dk " (.8 >, "M F " 0( KL.(10 dd8) 5 8 R" >, "M 5*D8 KL (4) C03" 10 dd8 0 0,(. = 0/ 3032P c + 0 / 2684 ( 5*D8 KL.(MPa) >, "M KL 03" 5< (. 8 "& >, "M 10 P c 03" $ (4) " dd8 0 0,(. 0/9844 U. f$t 3 >, "M 5*D8.5 % G"DF L _( ' " 07.K K;. "M 5*D8 KL 03" 8 / C" FG$9U $.5 (5 03") 3 03" >, K C y = x R² = P c (MPa) *+, -. /01 &.10 B. S D ^.8 '(+ 0/ ( )*+, 0/5 1/25 1/75
9 100 0/346 -%18/5 & %& '( S %20.9 '(+ 0/425-0/8E 2/6 %20 E(GPa) 3/25 - JD N3 Q+ -* &(c& S ([ 0/5716 -%1 '.8/1/25 *+, & *+, S %20.10 '(+.5 >, "M 9.G - 0/8Pc 1 %20 Pc (MPa) 1/25 - JD N3 Q+ -* &(c& S ([ ( 5*D8 KL C" 0J * JN ' O (8 F 07 "(3F [3] Alkılıçgil, Ç (2006) Development Of A New Method For Mode Fracture Toughness Test On Disc Type Rock Specimens. Master Of Science Dissertation, Department of Mining Engineering, Middle East Technical University. [4] Alpay, C (2008) nvestigation of Geometrical Factors for Determining Fracture Toughness With the Modified Ring Test. Master Of Science Dissertation, Department of Mining Engineering, Middle East Technical University. [5] Bazant, Z.P., and Kazemi, M.T (1990) Determination of fracture energy, process zone length andbrittleness number from size effect, with application to rockand concrete nternational Journal of Fracture, [6] Chen, M. and Zhang, G.-Q (2004) Laboratory Measurement And nterpretation Of The Fracture Toughness Of Formation Rocks At Great Depth. Journal of Petroleum Science and Engineering, [7] Ke, C.-C., Chen, C.-S., Tu, C.-H (2008) Determination Of Fracture Toughness Of Anisotropic Rocks By Boundary Element Method. Rock Mechanics and Rock Engineering, [8] Kuruppu, M.D., Obara, Y., Ayatollahi, M. R., Chong, K. P., Funatsu, T (2014) SRM- Suggested Method for Determining the Mode Static Fracture Toughness Using Semi-Circular Bend Specimen. Rock Mechanics and Rock Engineering, [9] Perez, N (2004) Fracture Mechanics. Boston. Kluwer Academic Publisher, [10] QiuhuaRao., Zongqisun., Stephanson, O., Chunlin Li., and Stillborg B (2003) Shear fracture (Mode )of brittle rock. nternational Journal of rock Mechanics and Mining Sciences, [11] Tutluoglu, L., Keles, C (2012) Effects of Geometric Factors on Mode Fracture Toughness for Modified Ring Tests. nternational Journal of Rock Mechanics & Mining Sciences, d -6 Q CF0( C" $FG$9U P K;. $ " ' O. " C [<J iu 0 v 5>* E$ ( 5*D8 KL >, "M 0J * JN.5 0JM /?LRF FG?$9U 9 U 5? ]$J 4 $ C" 8 / CFd ;. C" M 0/ J (. U C03" 0 0,(. 5*D8 KL -1." 03" 0J * JN ' 0/9969. f$t 3 ^ 0J * JN ' 5*D8 KL 03" /9969. f$t C" GF7 0J * JN ' GF7 5*D8 KL -3.$ G$%M U G$%M C" 3 >, "M 5*D8 KL 03" /9844. f$t GF7 >, "M GF7 5*D8 KL -5.$ G$%M U G$%M 9.G 5*D8 KL C" 0J * JN ' O -6 [O " (1387) C((.5 >, "M e. 5$U [1] G. [8 f$t C" 9 P4 " >, "M FeB 4 0$. ' > R/B "8 ( " [2] Alkılıçgil, Ç (2010) Development of Specimen Geometries For Mode Fracture Toughness Testing With Disc Type Rock Specimens.Doctoral Dissertation, Department of Mining Engineering, Middle East Technical University.
10 101 [12] Wang, Q.Z., Jia, X. M., Wu, L.Z (2004) Wide-range Stress ntensity Factors For The SRM Suggested Method Using CCNBD Specimens For Rock Fracture Toughness Tests. nternational Journal of Rock Mechanics And Mining Sciences,
11 102 Considering effect of modulus of elasticityand confining pressure on mode- fracture toughness of chalky specimens M. Hosseini* 1, M. Jalalypour 2 and S. Maleky 3 1, 2, 3- Dept., of Mining Engineering, mam Khomeini nternational University, Qazvin Recieved 2016/6/5 Accepted 2017/1/8 *meh_hosseini18@yahoo.com Abstract There are three notch displacement modes including the Mode or opening mode where the notch displacement is perpendicular to the notch front, Mode or shear mode where notch dimensions are displaced in the notch plane and the Mode or tear mode where the notch dimensions are displaced in the notch plane parallel to the notch front. Some application areas of rock fracture mechanics can be listed as hydraulic fracturing, rock blasting, rock cutting, mechanized drilling, rock slope stability and comminution in mineral processing. The aim of the present study was to examine the effect parameter of,modulus of elasticityand confining pressure on the mode Critical Stress ntensity Factor (Critical SF) using a thick-walled hollow cylindrical chalky specimen and the oil well environment was simulated in the laboratory. To perform the tests on artificial chalky specimens, two artificial symmetrical notches with certain dimensions were created in specimens with an outer diameter (OD) of 73 mm, an inner diameter (D) of 25 mm and a height of 150 mm. A triaxial stress was applied on the specimen and the pressure required for the propagation of the artificial notches was measured. Five tests were conducted to investigate the effect of modulus of elasticityand six tests to investigate the effect of confining pressureon the mode Critical SF. By conducting five tests, it was concluded that with increasingmodulus of elasticity, mode Critical SFincreases and with increasingpoisson s ratiomode Critical SF decreases, also, effect of modulus of elasticity onmode Critical SFis more. Meanwhile, it was found that the mode Critical SF nonlinearly increased with an increase in modulus of elasticity and it linearly increasedwith an increase inconfining pressure. Keywords fracture toughness, mode,modulus of elasticity, confining pressure,chalky specimen.
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