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Simulation of fracture mechanism of pre-holed concrete model under Brazilian test using PFC3D

  • Received : 2018.08.23
  • Accepted : 2018.11.16
  • Published : 2018.12.25
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Abstract

In the previous studies on the porous rock strength the effect of pore number and its diameter is not explicitly defined. In this paper crack initiation, propagation and coalescence in Brazilian model disc containing a single cylindrical hole and or multiple holes have been studied numerically using PFC3D. In model with internal hole, the ratio of hole diameter to model diameter was varied between 0.03, 0.17, 0.25, 0.33, and 0.42. In model with multiple hole number of holes was different in various model, i.e., one hole, two holes, three holes, four holes, five holes, six holes, seven holes, eight holes and nine holes. Diameter of these holes was 5 mm, 10 mm and 12 mm. The pre-holed Brazilian discs are numerically tested under Brazilian test. The breakage load in the ring type disc specimens containing an internal hole with varying diameters is measured. The mechanism of cracks propagation in the wall of the ring type specimens is also studied. In the case of multi-hole Brazilian disc, the cracks propagation and b cracks coalescence are also investigated. The results shows that breaking of the pre-holed disc specimens is due to the propagation of radially induced tensile cracks initiated from the surface of the central hole and propagating toward the direction of diametrical loading. In the case of disc specimens with multiple holes, the cracks propagation and cracks coalescence may occur simultaneously in the breaking process of model under diametrical compressive loading. Finally the results shows that the failure stress and crack initiation stress decreases by increasing the hole diameter. Also, the failure stress decreases by increasing the number of hole which mobilized in failure. The results of these simulations were comprised with other experimental and numerical test results. It has been shown that the numerical and experimental results are in good agreement with each other.

Keywords

References

  1. Akbas, S, (2016), "Analytical solutions for static bending of edge cracked micro beams", Struct. Eng. Mech., 59(3), 66-78.
  2. Aliabadi, M.H. and Brebbia, C.A. (1993), Advances in Boundary Element Methods for Fracture Mechanics. Amsterdam: Elsevier.
  3. Al-Shayea, N.A. (2005), "Crack propagation trajectories for rocks under mixed mode I-II fracture", Eng. Geol., 81, 84-97. https://doi.org/10.1016/j.enggeo.2005.07.013
  4. Amadei, B., Lin, C. and Jerry, D. (1996), Recent extensions to the DDA method. In: Proceedings of the First International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media.Albuquerque: TSI Press. p. 1-3.
  5. Ashby, M.F. and Hallam, S.D. (1986), "The failure of brittle solids containing small cracks under compressive stress states", Acta Metal., 34(3), 497-510. https://doi.org/10.1016/0001-6160(86)90086-6
  6. Cundall, P.A. and Strack, O.D.L. (1979), "A discrete numerical model for granular assemblies", Geotechnique, 29(1), 47-65. https://doi.org/10.1680/geot.1979.29.1.47
  7. Fan, Y., Zhu, Z., Kang, J. and Fu, Y. (2016), "The mutual effects between two unequal collinear cracks under compression", Math. Mech. Solids, 22,1205-1218.
  8. Gerges, N., Issa, C. and Fawaz, S. (2015), "Effect of construction joints on the splitting tensile strength of concrete", Case Studies Constr. Mater., 3, 83-91. https://doi.org/10.1016/j.cscm.2015.07.001
  9. Ghazvinian, A., Sarfarazi, V., Schubert, W. and Blumel, M. (2012), "A study of the failure mechanism of planar non-persistent open joints using PFC2D", Rock Mech. Rock Eng., 45(5), 677-693, https://doi.org/10.1007/s00603-012-0233-2
  10. Haeri, H., Sarfarazi, V., Fatehi, M., Hedayat, A. and Zhu, Z. (2016c), "Experimental and numerical study of shear fracture in brittle materials with interference of initial double", Acta Mech. Soil. Sinic., 5, 555-566.
  11. Haeri, H., Khaloo, A. and Marji, M.F. (2015a), "Experimental and numerical simulation of the microcrack coalescence mechanism in rock-like materials", Strength Mater., 47(5), 740-754. https://doi.org/10.1007/s11223-015-9711-6
  12. Haeri, H., Khaloo, A. and Marji, M.F. (2015b), "Fracture analyses of different pre-holed concrete specimens under compression", Acta Mech. Sinic., 31(6), 855-870. https://doi.org/10.1007/s10409-015-0436-3
  13. Haeri, H., Khaloo, A. and Marji, M.F. (2015c), "A coupled experimental and numerical simulation of rock slope joints behavior", Arab. J. Geosci., 8(9), 7297-7308. https://doi.org/10.1007/s12517-014-1741-z
  14. Haeri, H., Sarfarazi, V. and Hedayat, A. (2016a), "Suggesting a new testing device for determination of tensile strength of concrete", Struct. Eng. Mech., 60(6), 939-952. https://doi.org/10.12989/SEM.2016.60.6.939
  15. Haeri, H., Sarfarazi, V. and Lazemi, H. (2016b), "Experimental study of shear behavior of planar non-persistent joint", Comput. Concrete, 17(5), 639-653. https://doi.org/10.12989/CAC.2016.17.5.639
  16. Haeri, H. and Sarfarazi, V. (2016), "The effect of non-persistent joints on sliding direction of rock slopes", Comput. Concrete, 17(6), 723-737. https://doi.org/10.12989/CAC.2016.17.6.723
  17. He, L. and Ma, G.W. (2010), "Development of 3D numerical manifold method", Int. J. Comput. Meth., 7(1)107-129. https://doi.org/10.1142/S0219876210002088
  18. Jespersen, C., Maclaughlin, M. and Hudyma, N. (2010), "Strength deformation modulus and failure modes of cubic analog specimens representing macroporus rock", Int. J. Rock Mech. Min. Sci., 47, 1349-1356. https://doi.org/10.1016/j.ijrmms.2010.08.015
  19. Kequan, Y.U. and Zhoudao, L.U. (2015), "Influence of softening curves on the residual fracture toughness of post-fire normalstrength mortar", Comput. Mortar, 15(2), 102-111.
  20. Lajtai, E.Z. and Lajtai, V.N. (1975), "The collapse of cavities", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 12, 81-86.
  21. Lancaster, I.M., Khalid, H.A. and Kougioumtzoglou, I.A. (2013), "Extended FEM modelling of crack propagation using the semicircular bending test", Constr. Build. Mater., 48, 270-277 https://doi.org/10.1016/j.conbuildmat.2013.06.046
  22. Lee, S. and Chang, Y. (2015), "Evaluation of RPV according to alternative fracture toughness requirements", Struct. Eng. Mech., 53(6), 1271-1286. https://doi.org/10.12989/SEM.2015.53.6.1271
  23. 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", Measurement, 82, 421-431. https://doi.org/10.1016/j.measurement.2016.01.017
  24. 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", Materials, 8(6), 3364-3376. https://doi.org/10.3390/ma8063364
  25. Lin, P., Ma, T.H., Liang, Z.Z., Tang, C.A. and Wang, R.K. (2014), "Failure and overall stability analysis on high arch dam based on DFPA code", Eng. Fail. Anal., 45, 164-184. https://doi.org/10.1016/j.engfailanal.2014.06.020
  26. Lin, P., Wang, R.K., Wong, R.H.C. and Zhou, W.Y. (2005), "Crack coalescence mechanism of brittle solids containing holes under uniaxial compression", Proceedings of the EuRock 2005, London.
  27. Lin, P., Wong, R.H.C. and Tang, C.A. (2015), "Experimental study of coalescence mechanisms and failure under uniaxial compression of granite containing multiple holes", Int. J. Rock Mech. Min. Sci., 77, 313-327. https://doi.org/10.1016/j.ijrmms.2015.04.017
  28. Lin, P., Zhou, Y.N., Liu, H.Y. and Wang, C. (2013), "Reinforcement design and stability analysis for large-span tailrace bifurcated tunnels with irregular geometry", Tunn. Undergr. Sp. Tech., 38(9), 189-204. https://doi.org/10.1016/j.tust.2013.07.011
  29. Mellor, M. and Hawkes, I. (1971), "Mesurment of tensile strength by diametral compression on disc and annuli", Eng. Geol., 5, 173-225. https://doi.org/10.1016/0013-7952(71)90001-9
  30. Mobasher, B., Bakhshi, M. and Barsby, C. (2014), "Backcalculation of residual tensile strength of regular and high performance fibre reinforced concrete from flexural tests", Constr. Build. Mater., 70, 243-253. https://doi.org/10.1016/j.conbuildmat.2014.07.037
  31. Mohammad, A. (2016), "Statistical flexural toughness modeling of ultra-high performance mortar using response surface method", Comput. Mortar, 17(4), 33-39.
  32. Nemat-Nasser, S. and Horii, H. (1982), "Compression-induced nonlinear crack extension with application to splitting, exfoliation, and rockburst", J. Geophys. Res., 87(8), 6805-6821. https://doi.org/10.1029/JB087iB08p06805
  33. Noel, M. and Soudki, K. (2014), "Estimation of the crack width and deformation of FRP-reinforced concrete flexural members with and without transverse shear reinforcement", Eng. Struct., 59, 393-398. https://doi.org/10.1016/j.engstruct.2013.11.005
  34. Oliveira, H.L. and Leonel, E.D. (2014), "An alternative BEM formulation, based on dipoles of stresses and tangent operator technique, applied to cohesive crack growth modeling", Eng. Anal. Bound. Elem., 41, 74-82. https://doi.org/10.1016/j.enganabound.2014.01.002
  35. Pan, B., Gao, Y. and Zhong, Y. (2014), "Theoretical analysis of overlay resisting crack propagation in old cement mortar pavement", Struct. Eng. Mech., 52(4) 167-181.
  36. Park, C.H. and Bobet, A. (2009), "Crack coalescence in specimens with open and closed flaws :a comparison", Int. J. Rock Mech. Min. Sci., 46, 819-829. https://doi.org/10.1016/j.ijrmms.2009.02.006
  37. Rajabi, M., Soltani, N. and Eshraghi, I. (2016), "Effects of temperature dependent material properties on mixed mode crack tip parameters of functionally graded materials", Struct. Eng. Mech., 58(2), 144-156.
  38. Ramadoss, P. and Nagamani, K. (2013), "Stress-strain behavior and toughness of high performance steel fiber reinforced mortar in compression", Comput. Mortar, 11(2), 55-65.
  39. Robert, L.K. (1979), "Crack- crack and crack- hole interactions in stressed granite", Int. J. Rock Mech. Min. Sci., 16, 37-47.
  40. Roy, Y.A. and Narasimhan, R.A. (1999), "Finite element investigation of the effect of crack tip constraint on hole growth under mode I and mixed mode loading", Int. J. Solids Struct., 36, 1427-1447. https://doi.org/10.1016/S0020-7683(98)00046-8
  41. Sammis, C.G. and Ashby, M.F. (1986), "The failure of brittle porous solids under compressive stress states", Acta Metal., 34, 511-526. https://doi.org/10.1016/0001-6160(86)90087-8
  42. Sammis, C.G. and Ashby, M.F. (1986), "The failure of brittle porous solids under compressive stress states", Acta. Metal., 34, 511-526. https://doi.org/10.1016/0001-6160(86)90087-8
  43. Sardemir, M. (2016), "Empirical modeling of flexural and splitting tensile strengths of concrete containing fly ash by GEP", Comput. Concrete, 17(4), 489-498. https://doi.org/10.12989/CAC.2016.17.4.489
  44. 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 Mech. Rock Eng., 47(4), 1355-1371. https://doi.org/10.1007/s00603-013-0450-3
  45. Sarfarazi, V., Haeri, H. and khaloo, A. (2016a), "The effect of non-persistent joints on sliding direction if rock slopes", Comput. Concerete, 7, 723-737.
  46. Shi, G.H. (1988), Discontinuous Deformation Analysis, a New Numerical Mode l for the Statics and Dynamics of Block System. Berkeley: Department of Civil Engineering, University of California; 1988 [Ph.D. dissertation].
  47. Shuraim, A.B., Aslam, F., Hussain, R. and Alhozaimy, A. (2016), "Analysis of punching shear in high strength RC panels-experiments, comparison with codes and FEM results", Comput. Concrete, 17(6), 33-49.
  48. Silva, R.V., Brito, J. and Dhir, R.K. (2015), "Tensil strength behaviour of recycled aggregate concrete", Constr. Build. Mater., 83, 108-118. https://doi.org/10.1016/j.conbuildmat.2015.03.034
  49. Sukumar, N.A. and Prevost, J.H. (2003), "Modeling quasi-static crack growth with the ex-tended finite element method, Part I: Computer implementation", Int. J. Solids Struct., 40, 7513-7537. https://doi.org/10.1016/j.ijsolstr.2003.08.002
  50. Tan, X.C., Kou, S.Q. and Lindqvist, P.A. (1998), "Application of the DDM and fracture mechanics model on the simulation of rock breakage by mechanical tools", Eng. Geol., 3-4, 277-284.
  51. Tang, C.A. and Hudson, J.A. (2010), Rock failure mechanisms: illustrated and explained. CRC Press, Boca Raton.
  52. Tiang, Y., Shi, S., Jia, K. and Hu, S. (2015), "Mechanical and dynamic properties of high strength concrete modified with lightweight aggregates presaturated polymer emulsion", Constr. Build. Mater., 93, 1151-1156. https://doi.org/10.1016/j.conbuildmat.2015.05.015
  53. Wan Ibrahim, M.H., Hamzah, A.F., Jamaluddin, N,, Ramadhansyah, P.J. and Fadzil, A.M. (2015), Split Tensile Strength on Self-compacting Concrete Containing Coal Bottom Ash, Procedia - Social and Behavioral Sciences, 198, 2280-2289.
  54. 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 mediumlow speed impacts", Eng. Fract. Mech., 181, 52-64. https://doi.org/10.1016/j.engfracmech.2017.06.024
  55. Wong, R.H.C. and Chau, K.T. (1998), "Crack coalescence in rocklike material containing two cracks", Int. J. Rock Mech. Min. Sci., 35(2), 147-164 . https://doi.org/10.1016/S0148-9062(97)00303-3
  56. Yaylac, M. (2016), "The investigation crack problem through numerical analysis", Struct. Eng. Mech., 57(6), 55-68.
  57. Yin, P. (2013), Multiple Surface Crack Coalescence Mechanisms in Granite.The Hong Kong Polytechnic University; [Ph.D. thesis].
  58. Zheng, H. (2009), "Discontinuous deformation analysis based on complementary theory", Sci. China Ser. E. Tech. Sci., 52(9), 2547-2554. https://doi.org/10.1007/s11431-009-0256-4

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