Smart Structures and Systems

  • 제23권5호
  • /
  • Pages.479-493
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  • 2019
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Experimental and numerical studies of the pre-existing cracks and pores interaction in concrete specimens under compression

  • Haeri, Hadi (MOE Key Laboratory of Deep Underground Science and Engineering, School of Architecture and Environment,Sichuan University) ;
  • Sarfarazi, Vahab (Department of Mining Engineering, Hamedan University of Technology) ;
  • Zhu, Zheming (MOE Key Laboratory of Deep Underground Science and Engineering, School of Architecture and Environment,Sichuan University) ;
  • Marji, Mohammad Fatehi (Department of Mining Engineering, Yazd University)
  • 투고 : 2019.01.30
  • 심사 : 2019.03.19
  • 발행 : 2019.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the interaction between notch and micro pore under uniaxial compression has been performed experimentally and numerically. Firstly calibration of PFC2D was performed using Brazilian tensile strength, uniaxial tensile strength and biaxial tensile strength. Secondly uniaxial compression test consisting internal notch and micro pore was performed experimentally and numerically. 9 models consisting notch and micro pore were built, experimentally and numerically. Dimension of these models are 10 cm*1 cm*5 cm. the length of joint is 2 cm. the angularities of joint are $30^{\circ}$, $45^{\circ}$ and $60^{\circ}$. For each joint angularity, micro pore was situated 2 cm above the lower tip of the joint, 2 cm above the middle of the joint and 2 cm above the upper of the joint, separately. Dimension of numerical models are 5.4 cm*10.8 cm. The size of the cracks was 2 cm and its orientation was $30^{\circ}$, $45^{\circ}$ and $60^{\circ}$. Diameter of pore was 1cm which situated at the upper of the notch i.e., 2 cm above the upper notch tip, 2 cm above the middle of the notch and 2 cm above the lower of the notch tip. The results show that failure pattern was affected by notch orientation and pore position while uniaxial compressive strength is affected by failure pattern.

키워드

참고문헌

  1. Abdollahipour, A., Marji, M.F., Bafghi, A.Y. and Gholamnejad, J. (2015), "Simulating the propagation of hydraulic fractures from a circular wellbore using the Displacement Discontinuity Method", Int. J. Rock Mech. Min. Sci., 80, 281-291. https://doi.org/10.1016/j.ijrmms.2015.10.004.
  2. Antunes, F.V. and Rodrigues, D.M. (2008), "Numerical simulation of plasticity induced crack closure: Identification and discussion of parameters", Eng. Fract. Mech., 75(10), 3101-3120. https://doi.org/10.1016/j.engfracmech.2007.12.009.
  3. ASTM E1681 (2008), "Standard test method for determining threshold stress intensity factor for environment-assisted cracking of metallic materials", The American Society for Testing and Materials.
  4. Backers, T., Dresen, G., Rybacki, E. and Stephansson, O. (2004), "New data on mode II fracture toughness of rock from the punchthrough shear test", Int. J. Rock Mech. Min. Sci., 41(1), 2-7. https://doi.org/10.1016/j.ijrmms.2004.03.010
  5. Barry, N.W., Raghu, N.S. and Gexin, S. (1992), Rock Fracture Mechanics Principles Design and Applications, Amsterdam, Elsevier.
  6. Becker, A.A. (1992), The Boundary Element Method in Engineering: a Complete Course, McGraw-Hill Companies.
  7. Bi, J.; Zhou, X.P. and Xu, X.M. (2017), "Numerical simulation of failure process of rock-like materials subjected to impact loads", Int. J. Geomech., 17(3), 04016073. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000769.
  8. Bi, J.; Zhou, X.P. and Qian, Q.H. (2016), "The 3D numerical simulation for the propagation process of multiple pre-existing flaws in rock-like materials subjected to biaxial compressive loads", Rock Mech. Rock Eng., 49(5), 1611-1627. https://doi.org/10.1007/s00603-015-0867-y
  9. Bian, L.C. and Kim, K.S. (2004),"The minimum plastic zone radius criterion for crack initiation direction applied to surface cracks and through-cracks under mixed mode loading", Int. J. Fatigue, 26(11), 1169-1178. https://doi.org/10.1016/j.ijfatigue.2004.04.006.
  10. Botvina, L.R. and Korsunsky, A.M. (2005), "On the structure of plastic and damage zones in different materials and at various scales", Proceedings of the 6th International Conference on Fracture.
  11. Boumaaza, M., Bezazi, A., Bouchelaghem, H., Benzennache, N., Amziane, S. and Scarpa, F. (2017), "Behavior of pre-cracked deep beams with composite materials repairs", Struct. Eng. Mech., 63(5), 43-56. https://doi.org/10.12989/sem.2017.63.5.575.
  12. Caputo, F., Lamanna, G. and Soprano, A. (2012), "Geometrical parameters influencing a hybrid mechanical coupling", Key Eng. Mater., 525-526.
  13. Caputo, F., Lamanna, G. and Soprano, A. (2013), "On the evaluation of the plastic zone size at the crack tip", Eng. Fract. Mech., 103, 162-173. https://doi.org/10.1016/j.engfracmech.2012.09.030.
  14. Cheng, H., Zhou, X.P., Zhu, J. and Qian, Q. (2016), "The effects of crack openings on crack initiation, propagation and coalescence behavior in rock-like materials under uniaxial compression", Rock Mech. Rock Eng., 49(9), 3481-3494. https://doi.org/10.1007/s00603-016-0998-9
  15. Cheng, H. and Zhou, X.P. (2015), "A multi-dimensional space method for dynamic cracks problems using implicit time scheme in the framework of the extended finite element method", Int. J. Damage Mech., 24(6), 859-890. https://doi.org/10.1177/1056789514555149.
  16. de Castro, J.T.P., Meggiolaro, M.A. and de Oliveira Miranda, A.C. (2009), "Fatigue crack growth predictions based on damage accumulation calculations ahead of the crack tip", Compos. Mater. Sci., 46(1), 115-123. https://doi.org/10.1016/j.commatsci.2009.02.012.
  17. Fowell, R.J. (1995), "Suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc (CCNBD) specimens", Int. J. Rock Mech. Min. Sci. Geomech. Abst., 32(1), 57-64 https://doi.org/10.1016/0148-9062(94)00015-U
  18. Haeri, H., Shahriar, K., Marji, M.F. and Moarefvand, P. (2014), "Investigation of fracturing process of rock-like Brazilian disks containing three parallel cracks under compressive line loading", Strength of Mater., 46 (3), 404-416.. https://doi.org/10.1007/s11223-014-9562-6
  19. Haeri, H., Marji, M.F. and Shahriar, K. (2015a), "Simulating the effect of disc erosion in TBM disc cutters by a semi-infinite DDM", Arabian J. Geosci., 8(6), 3915-3927. https://doi.org/10.1007/s12517-014-1489-5
  20. Haeri, H., Khaloo, A. and Marji, M.F. (2015b), "Experimental and numerical analysis of Brazilian discs with multiple parallel cracks", Arabian J. Geosci., 8(8), 5897-5908. https://doi.org/10.1007/s12517-014-1598-1
  21. 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.
  22. Haeri, H., Sarfarazi, V., Marji, M.F., Hedayat, A. and Zhu, Z. (2016b), "Experimental and numerical study of shear fracture in brittle materials with interference of initial double cracks", Acta Mech. Solida, 29(5), 555-566. https://doi.org/10.1016/S0894-9166(16)30273-7.
  23. Hori, M. and Nemat-Nasser, S. (1987), "Interacting micro-cracks near the tip in the process zone of a macro-crack", J. Mech. Phys. Solid., 35(5), 601-629. https://doi.org/10.1016/0022-5096(87)90019-6.
  24. Huang, Y., Chen, J. and Liu, G. (2010), "A new method of plastic zone size determined based on maximum crack opening displacement", Eng. Fract. Mech., 77(14), 2912-2918. https://doi.org/10.1016/j.engfracmech.2010.06.026.
  25. Jiang, Z., Wan, S., Zhong, Z., Li, M. and Shen, K. (2014), "Determination of mode-I fracture toughness and nonuniformity for GFRP double cantilever beam specimens with an adhesive layer", Eng. Fract. Mech., 128, 139-156. https://doi.org/10.1016/j.engfracmech.2014.07.011
  26. Khodayar, A. and Nejati, H.R. (2018), "Effect of thermal-induced microcracks on the failure mechanism of rock specimens", Comput. Concrete, 22(1), 93-100. https://doi.org/10.12989/cac.2018.22.1.093.
  27. Kuang, J.H. and Chen, Y.C. (1997), "The tip pf plastic energy applied to ductile fracture initiation under mixed mode loading", Eng. Fract. Mech., 58(1-2), 61-70. https://doi.org/10.1016/S0013-7944(97)00073-8.
  28. Kudari, S.K., Maiti, B. and Ray, K.K. (2010), "Experimental investigation on possible dependence of plastic zone size on specimen geometry", Frattura ed Integrita Strutturale: Annals, 3.
  29. Mechanics, F. (1995), Fundamentals and Applications, TL Anderson.
  30. Nabil, B., Abdelkader, B., Miloud, A. and Noureddine, B. (2012), "On the mixed-mode crack propagation in FGMs plates: comparison of different criteria", Struct. Eng. Mech., 61(3), 201-213. https://doi.org/10.12989/sem.2017.61.3.371.
  31. Newman, J.C., Dawicke, D.S. and Bigelow, C.A. (1992), "Finiteelement analyses and fracture simulation in thin-sheet aluminum alloy", National Aeronautics and Space Administration, Langley Research Center.
  32. 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.
  33. Marji, M.F. (2014), "Numerical analysis of quasi-static crack branching in brittle solids by a modified displacement discontinuity method", Int. J. Solids Struct., 51(9), 1716-1736. https://doi.org/10.1016/j.ijsolstr.2014.01.022.
  34. Monfared, M.M. (2017), "Mode III SIFs for interface cracks in an FGM coating-substrate system", Struct. Eng. Mech., 64(1), 78-95. https://doi.org/10.12989/sem.2017.64.1.071.
  35. Nejati, H.R. and Ghazvinian, A. (2014), "Brittleness effect on rock fatigue damage evolution", Rock Mech. Rock Eng., 47(5), 1839-1848 https://doi.org/10.1007/s00603-013-0486-4
  36. Ouchterlony, F. (1988), "Suggested methods for determining the fracture toughness of rock", Int. J Rock Mech. Min. Sci., 25(2), 71-96.
  37. Oudad, W., Bouiadjra, B.B., Belhouari, M., Touzain, S. and Feaugas, X. (2009), "Analysis of the plastic zone size ahead of repaired cracks with bonded composite patch of metallic aircraft structures", Comput. Mater. Sci., 46(4), 950-954. https://doi.org/10.1016/j.commatsci.2009.04.041.
  38. Panaghi, K., Golshani, A. and Takemura , T. (2015), "Rock failure assessment based on crack density and anisotropy index variations during triaxial loading tests", Geomech. Eng., 9, 793-813. https://doi.org/10.12989/gae.2015.9.6.793.
  39. Pan, B., Gao, Y. and Zhong, Y. (2014), "Theoretical analysis of overlay resisting crack propagation in old cement concrete pavement", Struct. Eng. Mech., 52(4), 167-181. DOI: http://dx.doi.org/10.12989/sem.2014.52.4.829.
  40. Rans, C.D. and Alderliesten, R.C. (2009), "Formulating an effective strain energy release rate for a linear elastic fracture mechanics description of delamination growth", Proceedings of the 17th International Conference on Composite Materials (ICCM-17).
  41. Rao, Q. (1999), "Pure shear fracture of brittle rock", Doctoral Dissertation, Division of Rock Mechanics, Lulea University, Sweden.
  42. Rao, Q., Sun, Z., Stephansson, O., Li, C. and Stillborg, B. (2003), "Shear fracture (Mode II) of brittle rock", Int. J. Rock Mech. Min. Sci., 40(3), 355-375. https://doi.org/10.1016/S1365-1609(03)00003-0.
  43. Ramadoss, P. and Nagamani, K. (2013), "Stress-strain behavior and toughness of high-performance steel fiber reinforced concrete in compression", Comput. Concrete, 11(2), 55-65. https://doi.org/10.12989/cac.2013.11.2.149.
  44. Rice, J. and Rosengren, G.F. (1968), "Plane strain deformation near a crack tip in a power-law hardening material", J. Mech. Phys. Solids., 16(1), 1-12. https://doi.org/10.1016/0022-5096(68)90013-6.
  45. Rose, L.R.F. (1986), "Microcrack interaction with a main crack", Int. J. Fract., 31(3), 233-242. https://doi.org/10.1007/BF00018929
  46. Rooh, A., Nejati, H. and Goshtasbi, K. (2018), "A new formulation for calculation of longitudinal displacement profile (LDP) on the basis of rock mass quality", Geomech. Eng., 16(5), 539-545. DOI: https://doi.org/10.12989/gae.2018.16.5.539.
  47. Rubinstein, A.A. (1986), "Macrocrack-microdefect interaction", J. Appl. Mech., 53(3), 505-510. doi:10.1115/1.3171803.
  48. Sarfarazi, V. and Haeri, H.A. (2016), "Review of experimental and numerical investigations about crack propagation", Comput. Concrete, 18(2), 235-266. http://dx.doi.org/10.12989/cac.2016.18.2.235
  49. Sousa, R.A., Castro, J.T.P., Lopes, A.A.O. and Martha, L.F. (2013), "On improved crack tip plastic zone estimates based on T-stress and on complete stress fields", Fatigue Fract. Eng. M., 36(1), 25-38. https://doi.org/10.1111/j.1460-2695.2012.01684.x.
  50. Tong, Y.C., Hu, W. and Mongru, D. (2007), A Crack Growth Rate Conversion Module: Theory, Development, User Guide and Examples, Air Vehicles Division, Defence Science and Technology Organisation, Victoria, Australia.
  51. Wang, R. and Kemeny, J.M. (1994), "A study of the coupling between mechanical loading and flow properties in tuffaceous rock", Proceedings of the 1st North American Rock Mechanics Symposium, American Rock Mechanics Association.
  52. Wang,, Y., Zhou, X.P. and Xu, X. (2016), "Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics", Eng. Fract. Mech., 163, 248-273. https://doi.org/10.1016/j.engfracmech.2016.06.013.
  53. Wang, Y., Zhou, X.P. and Shou, Y. (2017), "The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics", Int. J. Mech. Sci., 128, 614-643. https://doi.org/10.1016/j.ijmecsci.2017.05.019
  54. Wang, Y., Zhou, X.P., Wang, Y. and Shou, Y. (2018), "A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids", Int. J. Solids Struct., 134, 89-115. https://doi.org/10.1016/j.ijsolstr.2017.10.022.
  55. Wang,.,Y., Zhou, X.P. and Kou, M. (2018), "Peridynamic investigation on thermal fracturing behavior of ceramic nuclear fuel pellets under power cycles", Ceramics Int., 44(10), 11512-11542. https://doi.org/10.1016/j.ceramint.2018.03.214.
  56. Xin, G., Hangong, W., Xingwu, K. and Liangzhou, J. (2010), "Analytic solutions to crack tip plastic zone under various loading conditions", Eur. J. Mech. A-Solid., 29(4), 738-745. https://doi.org/10.1016/j.euromechsol.2010.03.003.
  57. Yang, S.Q. (2011), "Crack coalescence behavior of brittle sandstone samples containing two coplanar fissures in the process of deformation failure", Eng. Fract. Mech., 78(17), 3059-3081. https://doi.org/10.1016/j.engfracmech.2011.09.002.
  58. Yoshihara, H. (2013), "Initiation and propagation fracture toughness of solid wood under the mixed Mode I/II condition examined by mixed-mode bending test", Eng. Fract. Mech., 104, 1-15. https://doi.org/10.1016/j.engfracmech.2013.03.023.
  59. Zeng, G., Yang, X., Yin, A. and Bai, F. (2014), "Simulation of damage evolution and crack propagation in three-point bending pre-cracked asphalt mixture beam", Constr. Build. Mater., 55, 323-332. https://doi.org/10.1016/j.conbuildmat.2014.01.058.
  60. Zhao, X.L., Roegiers, J.C. and Guo, M. (1990), "The determination of fracture toughness of rocks chevron-notched Brazilian disk specimens", Proceedings of the 4th Annual SCA Technical Conference, Dallas, Texas, USA.
  61. Zhou, X.P., Zhang, J. and Wong, L. (2018a), "Experimental study on the growth, coalescence and wrapping behaviors of 3D cross-embedded flaws under uniaxial compression", Rock Mech. Rock Eng., 51(5), 1379-1400 https://doi.org/10.1007/s00603-018-1406-4
  62. Zhang, J., Zhou, X.P., Zhu, J., Xian, C. and Wang, Y. (2018), "Quasi-static fracturing in double-flawed specimens under uniaxial loading: the role of strain rate", Int. J. Fracture, 211(1-2), 75-102. https://doi.org/10.1007/s10704-018-0277-8
  63. Zhou, X., Zhang, J., Yang, L. and Cui, Y. (2018b), "Internal morphology of cracking of two 3-D pre-existing crossembedded flaws under uniaxial compression", Geotech. Test. J., 41(2), 329-339. DOI: 10.1520/GTJ20170189.

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