Computers and Concrete

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Effects of number and angle of T Shape non persistent cracks on the failure behavior of samples under UCS test

  • Sarfarazi, V. (Department of Mining Engineering, Hamedan University of Technology) ;
  • Asgari, K. (Department of Mining Engineering, Shahid Bahonar University of Kerman) ;
  • Maroof, S. (Department of Mining Engineering, Hamedan University of Technology) ;
  • Fattahi, Sh (Department of Mining and Metallurgical Engineering, Amirkabir University of Technology)
  • Received : 2021.01.29
  • Accepted : 2022.01.05
  • Published : 2022.01.25
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Abstract

Experimental and numerical simulation were used to investigate the effects of angle and number of T shape non-persistent crack on the shear behaviour of crack's bridge area under uniaxial compressive test. concrete samples with dimension of 150 mm×150 mm×40 mm were prepared. Within the specimen, T shape non-persistent notches were provided. 16 different configuration systems were prepared for T shape non-persistent crack based on two and three cracks. In these configurations, the length of cracks were taken as 4 cm and 2 cm based on the cracks configuration systems. The angle of larger crack related to horizontal axis was 0°, 30°, 60° and 90°. Similar to cracks configuration systems in the experimental tests, 28 models with different T shape non-persistent crack angle were prepared in numerical model. The length of cracks were taken as 4 cm and 2 cm based on the cracks configuration systems. The angle of larger crack related to horizontal axis was 0°, 15°, 30°, 45°, 60°, 75° and 90°. Tensile strength of concrete was 1 MPa. The axial load was applied to the model. Displacement loading rate was controlled to 0.005 mm/s. Results indicated that the failure process was significantly controled by the T shape non-persistent crack angle and crack number. The compressive strengths of the specimens were related to the fracture pattern and failure mechanism of the discontinuities. Furthermore, it was shown that the compressive behaviour of discontinuities is related to the number of the induced tensile cracks which are increased by increasing the crack number and crack angle. The strength of samples decreased by increasing the crack number. In addition, the failure pattern and failure strength are similar in both methods i.e. the experimental testing and the numerical simulation methods (PFC2D).

Keywords

References

  1. Al-Shayea, N.A. (2005), "Crack propagation trajectories for rocks under mixed mode I-II fracture", Eng. Geol., 81(1) 84-97. https://doi.org/10.1016/j.enggeo.2005.07.013.
  2. Cao, P., Liu, T.Y., Pu, C.Z. and Lin, H. (2015), "Crack propagation and coalescence of brittle rock-like specimens with pre-existing cracks in compression", Eng. Geol., 187, 113-121. https://doi.org/10.1016/j.ijrmms.2021.104621.
  3. Cundall, P.A. and Strack, O.D.L. (1979), "A discrete numerical model for granular assemblies", Geotech., 29(1), 47-65. https://doi.org/10.1680/geot.1979.29.1.47.
  4. da Silva, G. and Einstein, H.H.B. (2013), "Modeling of crack initiation, propagation and coalescence in rocks", Int. J. Fract., 182, 167-186. https://doi.org/10.1007/s10704-013-9866-8.
  5. Dai, F., Xia, K., Zuo, J.P., Zhang, R. and Xu, N.W. (2013), "Static and dynamic flexural strength anisotropy of Barre granite", Rock Mech. Rock Eng., 46(6), 1589-1602. https://doi.org/10.1007/s00603-013-0390-y.
  6. Dai, F., Xu, Y., Zhao, T., Xu, N.W. and Liu, Y. (2016), "Loading-rate-dependent progressive fracturing of cracked chevron-notched Brazilian disc specimens in split Hopkinson pressure bar tests", Int. J. Rock Mech. Min. Sci., 88, 49-60. https://doi.org/10.1016/j.ijrmms.2016.07.003.
  7. Erarslan, N. and Williams, D.J. (2012), "Mixed-mode fracturing of rocks under static and cyclic loading", Rock Mech. Rock Eng., 46(5) 1035-1052. https://doi.org/10.1007/s00603-012-0303-5.
  8. 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.
  9. Haeri, H., Shahriar, K., Marji, M.F. and Moarefvand, P. (2014), "Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks", Int. J. Rock Mech. Min. Sci., 67, 20-28. https://doi.org/10.1016/j.ijrmms.2014.01.008.
  10. Hamdia, Kh., Silani, M., Zhuang, X., He, P. and Rabczuk, T. (2017), "Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions", Int. J. Fract., 206(2), 215-227. https://doi.org/10.1007/s10704-017-0210-6.
  11. Huang, D., Gu, D., Yang, C., Huang, R. and Fu, G. (2015), "Investigation on mechanical behaviors of sandstone with two preexisting flaws under triaxial compression", Rock Mech. Rock Eng., 49(2) 375-399. 10.1007/s00603-015-0757-3.
  12. Jiang, M., Chen, H. and Crosta, G.B. (2015), "Numerical modeling of rock mechanical behavior and fracture propagation by a new bond contact model", Int. J. Rock Mech. Min. Sci., 78, 175-189. https://doi.org/10.1016/j.ijrmms.2015.03.031.
  13. Li, H.Q. and Wong, L.N.Y. (2013), "Numerical study on coalescence of pre-existing flaw pairs in rock-like material", Rock Mech. Rock Eng., 47(6), 2087-2105. https://doi.org/10.1016/j.ijsolstr.2013.07.010.
  14. Li, Y., Peng, J., Zhang, F. and Qiu, Z. (2016), "Cracking behavior and mechanism of sandstone containing a pre-cut hole under combined static and dynamic loading", Eng. Geol., 213, 64-73. https://doi.org/10.1016/j.enggeo.2016.08.006.
  15. Liu, J. and Wang, J. (2018), "Stress evolution of rock-like specimens containing a single fracture under uniaxial loading: A numerical study based on particle flow code", Geotech. Geol. Eng., 38(1), 567-580. https://doi.org/10.1007/s10706-017-0347-0.
  16. Liu, Y., Dai, F., Dong, L., Xu, N.W. and Feng, P. (2018a), "Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters", Rock Mech. Rock Eng., 51(1), 47-68. https://doi.org/10.1007/s00603-017-1327-7.
  17. Liu, Y., Dai, F., Feng, P. and Xu, N.W. (2018b), "Mechanical behavior of intermittent jointed rocks under random cyclic compression with different loading parameters", Soild. Dyn. Earthq. Eng., 13, 55-67. https://doi.org/10.1016/j.soildyn.2018.05.030.
  18. Liu, Y., Dai, F., Zhao, T. and Xu, N.W. (2017), "Numerical investigation of the dynamic properties of intermittent jointed rock models subjected to cyclic uniaxial compression", Rock Mech. Rock Eng., 50, 89-112. https://doi.org/10.1007/s00603-016-1085-y.
  19. O ner, E., Yaylaci, M. and Birinci, A. (2015), "Analytical solution of a contact problem and comparison with the results from FEM", Struct. Eng. Mech., 54(4), 607-622. https://doi.org/10.12989/sem.2015.54.4.607.
  20. Potyondy, D.O. and Cundall, P.A. (2004), "A bonded-particle model for rock", Int. J. Rock Mech. Min. Sci., 41(8), 1329-1364. https://doi.org/10.1016/j.ijrmms.2004.09.011.
  21. Rabczuk, T. and Belytschko, T. (2004), "Cracking particles: A simplified meshfree method for arbitrary evolving cracks", Int. J. Numer. Method. Eng., 61(13), 2316-2343. https://doi.org/10.1002/nme.1151.
  22. Rabczuk, T. and Belytschko, T. (2007), "A three-dimensional large deformation meshfree method for arbitrary evolving cracks", Comput. Method. Appl. Mech. Eng., 196(29-30), 2777-2799. https://doi.org/10.1016/j.cma.2006.06.020.
  23. Rabczuk, T., Zi, G., Bordas, S. and Nguyen-Xuan, S. (2010), "A simple and robust three-dimensional cracking-particle method without enrichment", Comput. Method. Appl. Mech. Eng., 199(37-40), 2437-2455. https://doi.org/10.1016/j.cma.2010.03.031.
  24. Ren, H., Zhuang X., Cai, Y. and Rabczuk T. (2016), "Dual-horizon peridynamics", Int. J. Numer. Method. Eng., 108, 1451-1476. https://doi.org/10.1002/nme.5257.
  25. Ren, H., Zhuang, X. and Rabczuk, T. (2017), "Dual-horizon peridynamics: A stable solution to varying horizons", Comput. Method. Appl. Mech. Eng., 318, 762-782. https://doi.org/10.1016/j.cma.2016.12.031.
  26. Sarfarazi, V. and Haeri, H. (2016a), "Effect of number and configuration of bridges on shear properties of sliding surface", J. Min. Sci., 52(2), 245-257. https://doi.org/10.1134/S1062739116020370.
  27. Sarfarazi, V., Faridi, H.R., Haeri, H. and Schubert, W. (2016b), "A new approach for measurement of anisotropic tensile strength of concrete", Adv. Concrete Constr., 3(4), 269-284. https://doi.org/10.12989/acc.2015.3.4.269.
  28. 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.
  29. Sarfarazi, V., Haeri, H. and Khaloo, A. (2016c), "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.
  30. Uzun Yaylaci, E., Yaylaci, M., Olmez, H. and Birinci, A. (2020), "Artificial neural network calculations for a receding contact problem", Comput. Concrete, 25(6), 44-55. https://doi.org/10.12989/cac.2020.25.6.00.
  31. Wang, S.Y., Sloan, S.W., Sheng, D.C. and Tang, C.A. (2014), "Numerical study of failure behaviour of pre-cracked rock specimens under conventional triaxial compression", Int. J. Solid. Struct., 51(5) 1132-1148. https://doi.org/10.1016/j.ijsolstr.2013.12.012.
  32. Wang, S.Y., Sloan, S.W., Sheng, D.C. and Tang, C.A. (2016), "3D numerical analysis of crack propagation of heterogeneous notched rock under uniaxial tension", Tectono Physic., 21, 45-67. https://doi.org/10.1016/j.tecto.2016.03.042.
  33. Wong, L.N.Y. and Einstein, H.H. (2009), "Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression", Int. J. Rock Mech. Min. Sci., 46(2) 239-249. https://doi.org/10.1016/j.ijrmms.2008.03.006.
  34. Wong, R.H.C. and Lin, P. (2015), "Numerical study of stress distribution and crack coalescence mechanisms of a solid containing multiple holes", Int. J. Rock Mech. Min. Sci., 79, 41-54. https://doi.org/10.1016/j.ijrmms.2015.08.003.
  35. Xie, Y.S., Cao, P., Liu, J. and Dong, L.W. (2016), "Influence of crack surface friction on crack initiation and propagation: A numerical investigation based on extended finite element method", Comput. Geotech., 74, 1-14. https://doi.org/10.1016/j.compgeo.2015.12.013.
  36. Xu, Y., Dai, F., Xu, N.W. and Zhao, T. (2016), "Numerical investigation of dynamic rock fracture toughness determination using a semi-circular bend specimen in split Hopkinson pressure bar testing", Rock Mech. Rock Eng., 49(3), 731-745. https://doi.org/10.1007/s00603-015-0787-x.
  37. Yaylaci, M. (2016), "The investigation crack problem through numerical analysis", Struct. Eng. Mech., 57(6), 1143-1156. https://doi.org/10.12989/sem.2016.57.6.1143.
  38. Yaylaci, M. and Avcar, M. (2020), "Finite element modeling of contact between an elastic layer and two elastic quarter planes", Comput. Concrete, 26(2), 107-114. https://doi.org/https://doi.org/10.12989/cac.2020.26.2.107.
  39. Yaylaci, M. and Birinci, A. (2013), "The receding contact problem of two elastic layers supported by two elastic quarter planes", Struct. Eng. Mech., 48(2), 241-255. https://doi.org/10.12989/sem.2013.48.2.241.
  40. Yaylaci, M., Terzi, C. and Avcar, M. (2019), "Numerical analysis of the receding contact problem of two bonded layers resting on an elastic half plane", Struct. Eng. Mech., 72(6), 99-111. https://doi.org/10.12989/sem.2019.72.6.099.
  41. Zhang, X.P. and Wong, L.N.Y. (2012), "Crack initiation, propagation and coalescence in rock-like material containing two flaws: A numerical study based on bonded-particle model approach", Rock Mech. Rock Eng., 46(5), 1001-1021. https://doi.org/10.1007/s00603-012-0323-1.
  42. Zhang, X.P., Liu, Q.S., Wu, S.C. and Tang, X.H. (2015), "Crack coalescence between two non-parallel flaws in rock-like material under uniaxial compression", Eng. Geol., 199, 74-90. https: //doi.org/ 10.1016/ j.enggeo. 2015 .10.007.
  43. Zhao, Y.L., Zhang, L.Y., Wang, W.J., Pu, C.Z., Wan, W. and Tang, J.Z. (2016), "Cracking and stress-strain behavior of rocklike material containing two flaws under uniaxial compression", Rock Mech. Rock Eng., 49(7), 2665-2687. https://doi.org/10.1007/s00603-016-0932-1.
  44. Zhou, X.P. and Yang, H.Q. (2012), "Multiscale numerical modeling of propagation and coalescence of multiple cracks in rock masses", Int. J. Rock Mech. Min. Sci., 55, 15-27. https://doi.org/10.1016/j.ijrmms.2012.06.001.
  45. Zhou, X.P., Cheng, H. and Feng, Y.F. (2013), "An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression", Rock Mech. Rock Eng., 47(6), 961-1986. https://doi.org/10.1007/s00603-013-0511-7.