Browse > Article
http://dx.doi.org/10.12989/sem.2018.66.5.569

Experimental and numerical simulating of the crack separation on the tensile strength of concrete  

Sarfarazi, Vahab (Department of Mining Engineering, Hamedan University of Technology)
Haeri, Hadi (Young Researchers and Elite Club, Bafgh Branch, Islamic Azad University)
Shemirani, Alireza Bagher (Department of Civil Engineering, Sadra Institute of Higher Education)
Zhu, Zheming (College of Architecture and Environment, Sichuan University)
Marji, Mohammad Fatehi (Mine Exploitation Engineering Department, Faculty of Mining and Metallurgy, Institution of Engineering, Yazd University)
Publication Information
Structural Engineering and Mechanics / v.66, no.5, 2018 , pp. 569-582 More about this Journal
Abstract
Effects of crack separation, bridge area, on the tensile behaviour of concrete are studied experimentally and numerically through the Brazilian tensile test. The physical data obtained from the Brazilian tests are used to calibrate the two-dimensional particle flow code based on discrete element method (DEM). Then some specially designed Brazilian disc specimens containing two parallel cracks are used to perform the physical tests in the laboratory and numerically simulated to make the suitable numerical models to be tested. The experimental and numerical results of the Brazilian disc specimens are compared to conclude the validity and applicability of these models used in this research. Validation of the simulated models can be easily checked with the results of Brazilian tests performed on non-persistent cracked physical models. The Brazilian discs used in this work have a diameter of 54 mm and contain two parallel centred cracks ($90^{\circ}$ to the horizontal) loaded indirectly under the compressive line loading. The lengths of cracks are considered as; 10 mm, 20 mm, 30 mm and 40 mm, respectively. The visually observed failure process gained through numerical Brazilian tests are found to be very similar to those obtained through the experimental tests. The fracture patterns demonstrated by DEM simulations are mostly affected by the crack separation but the tensile strength of bridge area is related to the fracture pattern and failure mechanism of the testing samples. It has also been shown that when the crack lengths are less than 30 mm, the tensile cracks may initiate from the cracks tips and propagate parallel to loading direction till coalesce with the other cracks tips while when the cracks lengths are more than 30 mm, these tensile cracks may propagate through the intact concrete itself rather than that of the bridge area.
Keywords
experimental tests; discrete element method; Brazilian discs; non-persistent cracks; crack separation;
Citations & Related Records
Times Cited By KSCI : 7  (Citation Analysis)
연도 인용수 순위
1 Al-Shayea, N.A. (2005), "Crack propagation trajectories for rocks under mixed mo de I-II fracture", Eng. Geol., 81(1), 84-97.   DOI
2 Al-Shayea, N.A., Khan, K. and Abduljauwad, S.N. (2000), "Effects of confining pressure and temperature on mixed-mode (I-II) fracture toughness of a limes tone roc k formation", Int. J. Rock Mech. Rock Eng., 37(4), 629-643.   DOI
3 Atkinson, C., Smelser, R.E. and Sanchez, J. (1982), "Combined mode fracture via the cracked Brazilian disk", Int. J. Fract., 18(4), 279-291.   DOI
4 Awaji, H. and Sato, S. (1978), "Combined mode fracture toughness measurement by the disk test", J. Eng. Mater. Technol., 100(2), 175-182.   DOI
5 Ayatollahi, M.R. and Aliha, M.R.M. (2008), "On the use of Brazilian disc specimen for calculating mixed mode I-II fracture toughness of rock materials", Eng. Fract. Mech., 75(16), 4631-4641.   DOI
6 Ayatollahi, M.R. and Sistaninia, M. (2011), "Mode II fracture study of rocks using Brazilian disk specimens", Int. J. Rock Mech. Min. Sci., 48(5), 819-826.   DOI
7 Bagher Shemirani, A., Haeri, H., Sarfarazi, V. and Hedayat, A. (2017), "A review paper about experimental investigations on failure behaviour of non-persistent joint", Geomech. Eng., 13(4), 535-570.
8 Bagher Shemirani, A., Sarfarazi, V., Haeri, H., Marji, M. and Hosseini, S. (2018), "A discrete element simulation of a punchthrough shear to investigate the confining pressure effects on the shear behaviour of concrete cracks", Comput. Concrete, 21(2), 189-197.   DOI
9 Bahaaddini, M., Sharrock, G. and Hebblewhite, B.K. (2013), "Numerical investigation of the effect of joint geometrical parameters on the mechanical properties of a non-persistent jointed rock mass under uniaxial compression", Comput. Geotech., 49, 206-225.   DOI
10 Bobet, A. (2000), "The initiation of secondary cracks in compression", Eng. Fract. Mech., 66(2), 187-219.   DOI
11 Bobet, A. and Einstein, H.H. (1998), "Fracture coalescence in rock-type materials under uniaxial and biaxial compression", Int. J. Rock Mech. Min. Sci., 35(7), 863-888.   DOI
12 Cho, N. (2008), "Discrete element modeling of rock: pre-peak fracturing and dilation", Ph.D. Dissertation, University of Alberta, Canada.
13 Cho, N., Martin, C.D. and Sego, D.C. (2007), "A clumped particle model for rock", Int. J. Rock Mech. Min. Sci., 44(7), 997-1010.   DOI
14 Cundall, P.A. (1971), "A computer model for simulating progressive large scale movements in blocky rock systems", Proceedings of the ISRM Symposium.
15 Cundall, P.A. (2000), "A discontinuous future for numerical modelling in geomechanics", Geotech. Eng., 149(1), 41-47.
16 Diederichs, M.S. (2000), "Instability of hard rock masses: The role of tensile damage and relaxation", Ph.D. Dissertation, University of Waterloo, Canada.
17 Ghazvinian, A., Nejati, H.R., Sarfarazi, V. and Hadei, M.R. (2013), "Mixed mode crack propagation in low brittle rock-like materials", Arab J. Geosci., 6(11), 4435-4444.   DOI
18 Haeri, H., Sarfarazi, V. and Hedayat, A. (2016), "Suggesting a new testing device for determination of tensile strength of concrete", Struct. Eng. Mech., 60(6), 939-952.   DOI
19 Haeri, H. (2015), "Influence of the inclined edge notches on the shear-fracture behavior in edge-notched beam specimens", Comput. Concrete, 16(4), 605-623.   DOI
20 Haeri, H., Khaloo, A. and Marji, M.F. (2015), "Experimental and numerical simulation of the microcrack coalescence mechanism in rock-like materials", Strength Mater., 47(5), 740-754.   DOI
21 Hazzard, J.F. and Young, R.P. (2000), "Simulating acoustic emissions in bonded-particle models of rock", Int. J. Rock Mech. Min. Sci., 37(5), 867-872.   DOI
22 Ingraffea, A.R. and Heuze, F.E. (1980), "Finite element models for rock fracture mechanics", Int. J. Numer. Anal. Meth. Geomech., 4(1), 25-43.   DOI
23 Itasca Consulting Group (2004), PFC2D (Particle Flow Code in 2 Dimensions) Version 3.1.
24 Jiefan, H., Ganglin, C., Yonghong, Z. and Ren, W. (1990), "An experimental study of the strain field development prior to failure of a marble plate under compression", Tectonophys., 175(1-3), 269-284.   DOI
25 Khan, K. and Al-Shayea, N.A. (2000), "Effects of specimen geometry and testing method on mixed-mode I-II fracture toughness of a limestone rock from Saudi Arabia", Rock Mech. Rock Eng., 33(3), 179-206.   DOI
26 Krishnan, G.R., Zhao, X.L., Zaman, M. and Rogiers, J.C. (1998), "Fracture toughness of a soft sandstone", Int. J. Fract. Mech., 35(6), 195-218.
27 Lambert, C. and Coll, C. (2013), "Discrete modeling of rock joints with a smooth-joint contact model", J. Rock Mech. Geotech. Eng., 6(1), 1-12.
28 Li, Y., Zhou, H., Zhu, W., Li, S. and Liu, J., (2015), "Numerical study on crack propagation in brittle jointed rock mass influenced by fracture water pressure", Mater., 8(6), 3364-3376.   DOI
29 Li, J.Y., Zhou, H., Zhu, W. and Li, S. (2016), "Experimental and numerical investigations on the shear behavior of a jointed rock mass", Geosci. J., 20(3), 371-379.   DOI
30 Li, S., Wang, H., Li, Y., Li, Q., Zhang, B. and Zhu, H. (2016), "A new mini-grating absolute displacement measuring system for static and dynamic geomechanical model tests", Measure., 82, 421-431.
31 Manouchehrian, A., Sharifzadeh, M., Marji, M.F. and Gholamnejad, J. (2014), "A bonded particle model for analysis of the flaw orientation effect on crack propagation mechanism in brittle materials under compression", Arch. Civil Mech. Eng., 14(1), 40-52.   DOI
32 Mughieda, O. and Alzoubi, K.A. (2004), "Fracture mechanisms of offset rock joints-a laboratory investigation", Geotech. Geol. Eng., 22(4), 545-562.   DOI
33 Park, C.H. (2008), "Coalescence of frictional fractures in rock materials", Ph.D. Dissertation, Purdue University West Lafayette, Indiana, U.S.A.
34 Petit, J. and Barquins, M. (1988), "Can natural faults propagate under mode II conditions?", Tecton., 7(6), 1243-1256.   DOI
35 Potyondy, D.O. and Cundall, P.A. (2004), "A bonded-particle model for rock", Int. J. Rock Mech. Min. Sci., 41(8), 1329-1364.   DOI
36 Reyes, O. and Einstein, H.H. (1991), "Failure mechanism of fractured rock-a fracture coalescence model", Proceedings of the 7th International Congress of Rock Mechanics.
37 Sanchez, J. (1979), "Application of the disk test to mode-I-II fracture toughness analysis", M.Sc. Dissertation, University of Pittsburgh, Pittsburgh, U.S.A.
38 Sarfarazi, V., Haeri, H., Bagher Shemirani, A. and Zhu, Z. (2017b), "The effect of compression load and rock bridge geometry on the shear mechanism of weak plane", Geomech. Eng., 13(3), 57-63.
39 Sarfarazi, V., Ghazvinian, A., Schubert, W., Blumel, M. and Nejati, H.R. (2014), "Numerical simulation of the process of fracture of echelon rock joints, rock mechanics and rock engineering", 47(4), 1355-1371.   DOI
40 Sarfarazi, V., Haeri, H. and Bagher Shemirani, A. (2017a), "Direct and indirect methods for determination of mode I fracture toughness using PFC2D", Comput. Concrete, 20(1), 39-47.   DOI
41 Sarfarazi, V., Haeri, H., Bagher Shemirani, A., Hedayat, A. and Hosseini, S. (2017c), "Investigation of ratio of TBM disc spacing to penetration depth in rocks with different tensile strengths using PFC2D", Comput. Concrete, 20(4), 429-437.
42 Scavia, C. and Castelli, M. (1998), "Studio della propagazione per trazione indotta di sistemi di fratture in roccia", Rivista Italiana di Geotecnica, anno XXXII, 48-62.
43 Shaowei, H., Aiqing, X., Xin, H. and Yangyang, Y. (2016), "Study on fracture characteristics of reinforced concrete wedge splitting tests", Comput. Concrete, 18(3), 337-354.   DOI
44 Shemirani, A., Naghdabadi, R. and Ashrafi, M. (2016), "Experimental and numerical study on choosing proper pulse shapers for testing concrete specimens by split Hopkinson pressure bar apparatus", Constr. Build. Mater., 125, 326-336.   DOI
45 Shen, B. and Stephansson, O. (1993), "Large-scale permeability tensor of rocks from induced microseismicity", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 30, 861-867.   DOI
46 Shen, B., Stephansson, O., Einstein, H.H. and Ghahreman, B. (1995), "Large-scale permeability tensor of rocks from induced micro-seismicity", J. Geophys. Res., 100, 5975-5990.   DOI
47 Wang, Q.Z., Gou, X.P. and Fan, H. (2012), "The minimum dimensionless stress intensity factor and its upper bound for CCNBD fracture toughness specimen analyzed with straight through crack assumption", Eng. Fract. Mech., 82, 1-8.   DOI
48 Shetty, D.K., Rosenfield, A.R. and Duckworth, W.H. (1986), "Mixed mode fracture of ceramic in diametrical compression", J. Am. Ceram. Soc., 69(6), 437-443.   DOI
49 Wang, Q.Z. (2010), "Formula for calculating the critical stress intensity factor in rock fracture toughness tests using cracked chevron notched Brazilian disc (CCNBD) specimens", Int. J. Rock Mech. Min. Sci., 47(6), 1006-1011.   DOI
50 Wang, Q.Z., Feng, F., Ni, M. and Gou, X.P. (2011), "Measurement of mode I and mode II rock dynamic fracture toughness with cracked straight through flattened Brazilian disc impacted by split Hopkinson pressure bar", Eng. Fract. Mech., 78(12), 2455-2469.   DOI
51 Wang, X., Zhu, Z., Wang, M., Ying, P., Zhou, L. and Dong, Y. (2017), "Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts", Eng. Fract. Mech., 181, 52-64.   DOI
52 Yang, S.Q. (2015), "An experimental study on fracture coalescence characteristics of brittle sandstone specimens combined various flaws", Geomech. Eng., 8(4), 541-557.   DOI
53 Wei, M.D., Dai, F., Xu, N.W., Xu, Y. and Xia, K. (2015), "Threedimensional numerical evaluation of the progressive fracture mechanism of cracked chevron notched semi-circular bend rock specimens", Eng. Fract. Mech., 134, 286-303.   DOI
54 Wong, R.H.C. and Chau, K.T. (1998), "Crack coalescence in a rock-like material containing two cracks", Int. J. Rock Mech. Min. Sci., 35(2), 147-164.   DOI
55 Wong, R.H.C., Tang, C.A., Chau, K.T. and Lin, P. (2002), "Splitting failure in brittle rocks containing pre-existing flaws under uniaxial compression", Eng. Fract. Mech., 69(1), 853-871.