Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

The effect of micro pore on the characteristics of crack tip plastic zone in concrete

  • Haeri, Hadi (Department of Mining Engineering, Bafgh Branch, Islamic Azad University) ;
  • Sarfarazi, V. (Department of Mining Engineering, Hamedan University of Technology)
  • Received : 2015.12.17
  • Accepted : 2016.01.12
  • Published : 2016.01.25
⟨ Previous Next ⟩

Abstract

Concrete is a heterogeneous material containing many weaknesses such as micro-cracks, pores and grain boundaries. The crack growth mechanism and failure behavior of concrete structures depend on the plastic deformation created by these weaknesses. In this article the non-linear finite element method is used to analyze the effect of presence of micro pore near a crack tip on both of the characteristics of crack tip plastic zone (its shape and size) and crack growth properties (such as crack growth length and crack initiation angle) under pure shear loading. The FE Code Franc2D/L is used to carry out these objectives. The effects of the crack-pore configurations and the spacing between micro pore and pre-excising crack tip on the characteristics of crack tip plastic zone and crack growth properties is highlighted. Based on the obtained results, the relative distance between the crack tip and the micro pore affects in very significant way the shape and the size of the crack tip plastic zone. Furthermore, crack growth length and crack initiation angle are mostly influenced by size and shape of plastic zone ahead of crack tip. Also the effects of pore decrease on the crack tip by variation of pore situation from linear to perpendicular configuration. The critical position for a micro pore is in front of the crack tip.

Keywords

References

  1. 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
  2. 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.
  3. 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, 2-7. https://doi.org/10.1016/j.ijrmms.2004.03.010
  4. Barry, N.W., Raghu, N.S. and Gexin, S. (1992), Rock Fracture Mechanics Principles Design and Applications, Amsterdam, Elsevier.
  5. Becker, A.A. (1992), The Boundary Element Method in Engineering: a Complete Course, McGraw-Hill Companies.
  6. 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. Fatig., 26(11), 1169-1178. https://doi.org/10.1016/j.ijfatigue.2004.04.006
  7. 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.
  8. Caputo, F., Lamanna, G. and Soprano, A. (2012), "Geometrical parameters influencing a hybrid mechanical coupling", Key Eng. Mater., 525-526.
  9. 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
  10. 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
  11. 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
  12. FRANC2D/L Version 1.5 (1998), User Guide, Cornell University.
  13. Haeri, H. (2015a), Coupled Experimental-Numerical Fracture Mechanics, Lambert Academic Press, Germany
  14. Haeri, H. (2015b), "Influence of the inclined edge notches on the shear-fracture behavior in edge-notched beam specimens", Comput. Concrete, 16(4), 605-623 https://doi.org/10.12989/cac.2015.16.4.605
  15. Hori, M. and Nemat-Nasser, S. (1987), "Interacting micro-cracks near the tip in the process zone of a macrocrack", J. Mech. Phys. Solid., 35(5), 601-629. https://doi.org/10.1016/0022-5096(87)90019-6
  16. Huang, Yi., Chen, J. and Liu, G. (2010), "A new method of plastic zone size determined based on maximum crack opening displacement", Eng. Fract. Mech., 77, 2912-2918. https://doi.org/10.1016/j.engfracmech.2010.06.026
  17. Jiang, Z., Wan, S., Zhong, Z., Li, M. and Shen, K. (2014), "Determination of mode-I fracture toughness and non-uniformity 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
  18. 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, 61-70. https://doi.org/10.1016/S0013-7944(97)00073-8
  19. 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.
  20. Mechanics, F. (1995), Fundamentals and Applications, TL Anderson.
  21. Newman, J.C., Dawicke, D.S. and Bigelow, C.A. (1992), "Finite-element analyses and fracture simulation in thin-sheet aluminum alloy", National Aeronautics and Space Administration, Langley Research Center.
  22. 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
  23. Ouchterlony, F. (1988), "Suggested methods for determining the fracture toughness of rock", Int. J Rock Mech. Min. Sci., 25(2), 71-96.
  24. 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
  25. 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).
  26. Rao, Q. (1999), "Pure shear fracture of brittle rock", Doctoral Dissertation, Division of Rock Mechanics, Lulea University, Sweden.
  27. 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
  28. Rice, J. and Rosengren, G.F. (1968), "Plane strain deformation near a crack tip in a power-law hardening material", J. Mech. Phys. Solid., 16(1), 1-12. https://doi.org/10.1016/0022-5096(68)90013-6
  29. Rose, L.R.F. (1986), "Microcrack interaction with a main crack", Int. J. Fract., 31(3), 233-242. https://doi.org/10.1007/BF00018929
  30. Rubinstein, A.A. (1986), "Macrocrack-microdefect interaction", J. Appl. Mech., 53(3), 505-510. https://doi.org/10.1115/1.3171803
  31. 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
  32. 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,.
  33. 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.
  34. 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
  35. 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
  36. 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
  37. 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
  38. Zhao, X.L., Roegiers, J.C. and Guo, M. (1990), "The determination of fracture toughness of rocks by chevron-notched Brazilian disk specimens", Proceedings of the 4th Annual SCA Technical Conference, Dallas, Texas, USA.

Cited by

  1. The deformable multilaminate for predicting the Elasto-Plastic behavior of rocks vol.18, pp.2, 2016, https://doi.org/10.12989/cac.2016.18.2.201
  2. Suggesting a new testing device for determination of tensile strength of concrete vol.60, pp.6, 2016, https://doi.org/10.12989/sem.2016.60.6.939
  3. The effect of non-persistent joints on sliding direction of rock slopes vol.17, pp.6, 2016, https://doi.org/10.12989/cac.2016.17.6.723
  4. Numerical simulation of tensile failure of concrete using Particle Flow Code (PFC) vol.18, pp.1, 2016, https://doi.org/10.12989/cac.2016.18.1.039
  5. A review of experimental and numerical investigations about crack propagation vol.18, pp.2, 2016, https://doi.org/10.12989/cac.2016.18.2.235
  6. Effect of tensile strength of rock on tensile fracture toughness using experimental test and PFC2D simulation vol.52, pp.4, 2016, https://doi.org/10.1134/S1062739116041046
  7. Crack analysis of pre-cracked brittle specimens under biaxial compression vol.51, pp.6, 2015, https://doi.org/10.1134/S1062739115060344
  8. Theoretical and numerical analysis of stress and stress intensity factor in bi-material vol.10, pp.1, 2019, https://doi.org/10.1108/IJSI-08-2018-0048
  9. Numerical simulation of hydraulic fracturing in circular holes vol.18, pp.6, 2016, https://doi.org/10.12989/cac.2016.18.6.1135
  10. Effect of normal load on the crack propagation from pre-existing joints using Particle Flow Code (PFC) vol.19, pp.1, 2016, https://doi.org/10.12989/cac.2017.19.1.099
  11. Direct and indirect methods for determination of mode I fracture toughness using PFC2D vol.20, pp.1, 2016, https://doi.org/10.12989/cac.2017.20.1.039
  12. Experimental and numerical study of shear crack propagation in concrete specimens vol.20, pp.1, 2016, https://doi.org/10.12989/cac.2017.20.1.057
  13. The effect of compression load and rock bridge geometry on the shear mechanism of weak plane vol.13, pp.3, 2016, https://doi.org/10.12989/gae.2017.13.3.431
  14. Investigation of ratio of TBM disc spacing to penetration depth in rocks with different tensile strengths using PFC2D vol.20, pp.4, 2016, https://doi.org/10.12989/cac.2017.20.4.429
  15. A fracture mechanics simulation of the pre-holed concrete Brazilian discs vol.66, pp.3, 2016, https://doi.org/10.12989/sem.2018.66.3.343
  16. Simulation of the tensile failure behaviour of transversally bedding layers using PFC2D vol.67, pp.5, 2016, https://doi.org/10.12989/sem.2018.67.5.493
  17. Investigation of the effects of particle size and model scale on the UCS and shear strength of concrete using PFC2D vol.67, pp.5, 2016, https://doi.org/10.12989/sem.2018.67.5.505
  18. Effect of Roughness on Shear Characteristics of the Interface between Silty Clay and Concrete vol.2020, pp.None, 2020, https://doi.org/10.1155/2020/8831759
  19. A new rock brittleness index on the basis of punch penetration test data vol.21, pp.4, 2020, https://doi.org/10.12989/gae.2020.21.4.391
  20. Numerical simulation and experimental investigation of the shear mechanical behaviors of non-persistent joint in new shear test condition vol.26, pp.3, 2020, https://doi.org/10.12989/cac.2020.26.3.239
  21. Study of tensile behavior of Y shape non-persistent joint using experimental test and numerical simulation vol.26, pp.6, 2016, https://doi.org/10.12989/cac.2020.26.6.565
  22. Physical test and PFC2D simulation of the failure mechanism of echelon joint under uniaxial compression vol.27, pp.2, 2021, https://doi.org/10.12989/cac.2021.27.2.099
  23. Z shape joints under uniaxial compression vol.12, pp.2, 2016, https://doi.org/10.12989/acc.2021.12.2.105
  24. Experimental study on the acoustic emission and fracture propagation characteristics of sandstone with variable angle joints vol.292, pp.None, 2021, https://doi.org/10.1016/j.enggeo.2021.106247