Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

2-D meso-scale complex fracture modeling of concrete with embedded cohesive elements

  • Shen, Mingyan (Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control & School of Civil Engineering, Hunan University of Science and Technology) ;
  • Shi, Zheng (Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control & School of Civil Engineering, Hunan University of Science and Technology) ;
  • Zhao, Chao (Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control & School of Civil Engineering, Hunan University of Science and Technology) ;
  • Zhong, Xingu (Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control & School of Civil Engineering, Hunan University of Science and Technology) ;
  • Liu, Bo (School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing)) ;
  • Shu, Xiaojuan (Hunan Provincial Key Laboratory of Structures for Wind Resistance and Vibration Control & School of Civil Engineering, Hunan University of Science and Technology)
  • Received : 2018.12.19
  • Accepted : 2019.06.20
  • Published : 2019.09.25
⟨ Previous Next ⟩

Abstract

This paper has presented an effective and accurate meso-scale finite element model for simulating the fracture process of concrete under compression-shear loading. In the proposed model, concrete is parted into four important phases: aggregates, cement matrix, interfacial transition zone (ITZ), and the initial defects. Aggregate particles were modelled as randomly distributed polygons with a varying size according to the sieve curve developed by Fuller and Thompson. With regard to initial defects, only voids are considered. Cohesive elements with zero thickness are inserted into the initial mesh of cement matrix and along the interface between aggregate and cement matrix to simulate the cracking process of concrete. The constitutive model provided by ABAQUS is modified based on Wang's experiment and used to describe the failure behaviour of cohesive elements. User defined programs for aggregate delivery, cohesive element insertion and modified facture constitutive model are developed based on Python language, and embedded into the commercial FEM package ABAQUS. The effectiveness and accuracy of the proposed model are firstly identified by comparing the numerical results with the experimental ones, and then it is used to investigate the effect of meso-structure on the macro behavior of concrete. The shear strength of concrete under different pressures is also involved in this study, which could provide a reference for the macroscopic simulation of concrete component under shear force.

Keywords

Acknowledgement

Supported by : Natural Science Foundation of China

References

  1. Alfano, G. (2006), "On the influence of the shape of the interface law on the application of cohesive-zone modelss", Compos. Sci. Technol., 66, 723-730. https://doi.org/10.1016/j.compscitech.2004.12.024.
  2. Al-Osta, M.A., Al-Sakkaf, H.A., Sharif, A.M., Ahmad, S. and Baluch, M.H. (2018), "Finite element modelling of corroded RC beams using cohesive surface bonding approach", Comput. Concrete, 22(2), 167-182. https://doi.org/10.12989/cac.2018.22.2.167.
  3. Bernardi, P., Cerioni, R. and Michelini, E. (2015), "Numerical modelling of the cracking behaviour of RC and SFRC shearcritical beams", Eng. Fract. Mech., 167, 151-166. https://doi.org/10.1016/j.engfracmech.2016.04.008.
  4. Bolander, J.E. and Sukumar, N. (2005), "Irregular lattice model for quasistatic crack propagation", Phys. Rev. B, 59, 1-20. https://doi.org/10.1103/PhysRevB.71.094106.
  5. Burns, S.J. and Hanley, K.J. (2017), "Establishing stable timesteps for DEM simulations of non-collinear planar collisions with linear contact laws", Int. J. Numer. Meth. Eng., 110, 186-200. https://doi.org/10.1002/nme.5361.
  6. Burns, S.J. and Piiroinen P.T. (2015), "Simulation and long-term behaviour of unconstrained planar rigid bodies with impact and friction", Int. J. Nonlin. Mech., 77, 312-324 https://doi.org/10.1016/j.ijnonlinmec.2015.09.011
  7. Chen, H., Xu, B., Mo, Y.L. and Zhou, T. (2018), "Behaviour of meso-scale heterogeneous concrete under uniaxial tensile and compressive loadings", Constr. Build. Mater., 178, 418-431. https://doi.org/10.1016/j.conbuildmat.2018.05.052.
  8. Chen, J., Pan, T.Y. and Huang, X.M. (2011), "Discrete element modelling of asphalt concrete cracking using a user-defined three-dimensional micromechanical approach", J. Wuhan Univ. Technol.-Mater. Sci. Ed., 26(6), 1215-1221. https://doi.org/10.1007/s11595-011-0393-z.
  9. Chen, J.Y., Zhang, W.P. and Gu, X.L. (2018), "Mesoscale model for cracking of concrete cover induced by reinforcement corrosion", Comput. Concrete, 22(1), 53-62. https://doi.org/10.12989/cac.2018.22.1.053.
  10. Contrafatto, L., Cuomo, M. and Gazzo, S. (2016), "A concrete homogenisation technique at meso-scale level accounting for damaging behaviour of cement paste and aggregates", Comput. Struct., 173, 1-18. https://doi.org/10.1016/j.compstruc.2016.05.009.
  11. Diamod, S. and Huang, J.D. (2001), "The ITZ in concrete: A different view based on image analysis and SEM observations", Cement Concrete Compos., 23(2), 179-188. https://doi.org/10.1016/S0958-9465(00)00065-2.
  12. Haeri, H., Sarfarazi, V., Zhu, Z. and Marji, M.F. (2018), "Simulating the influence of pore shape on the Brazilian tensile strength of concrete specimens using PFC2D", Comput. Concrete, 22(5), 469-479. https://doi.org/10.12989/cac.2018.22.5.469.
  13. He, J., Pan, F., Cai, C.S., Habte, F. and Chowdhury, A. (2018), "Finite-element modelling framework for predicting realistic responses of light-frame low-rise buildings under wind loads", Eng. Struct., 164, 53-69. https://doi.org/10.1016/j.engstruct.2018.01.034.
  14. Jirasek, M. and Rolshoven, S. (2003), "Comparison of integraltype nonlocal plasticity models for strain-softening materials", Int. J. Eng Sci., 41, 1553-1602. https://doi.org/10.1016/S0020-7225(03)00027-2.
  15. Kou, J.F., Xu, F., Guo, J.P. and Xu, Q. (2011), "Damage laws of cohesive zone model and selection of Parameters", J. Mech. Strength, 33(5), 714-718. (In Chinese)
  16. Kozicki, J. and Tejchman, J. (2007), "Effect of aggregate structure on fracture process in concrete using 2D lattice model", Arch. Mech., 59(4), 365-384.
  17. Li, D., Li, Z., Lv, C., Zhang, G. and Yin, Y. (2018), "A predictive model of the effective tensile and compressive strengths of concrete considering porosity and pore size", Constr. Build. Mater., 170, 520-526. https://doi.org/10.1016/j.conbuildmat.2018.03.028.
  18. Li, D., Li, Z., Lv, C., Zhang, G. and Yin, Y. (2018), "A predictive model of the effective tensile and compressive strengths of concrete considering porosity and pore size", Constr. Build. Mater., 170, 520-526. https://doi.org/10.1016/j.conbuildmat.2018.03.028.
  19. Long, X. and Lee, C.K. (2015), "Improved strut-and-tie method for 2D RC beam-column joints under monotonic loading", Comput. Concrete, 15(5), 807-831. https://doi.org/10.12989/cac.2015.15.5.807.
  20. Long, X., Bao, J.Q., Tan, K.H. and Lee, C.K. (2014), "Numerical simulation of reinforced concrete beam/column failure considering normal-shear stress interaction", Eng. Struct., 74, 32-43. https://doi.org/10.1016/j.engstruct.2014.05.011.
  21. Lopez, C.M., Carol, I. and Aguado, A. (2008), "Meso-structural study of concrete fracture using interface elements. II: compression, biaxial and Brazilian test", Mater. Struct., 41, 601-620. https://doi.org/10.1617/s11527-007-9312-3.
  22. Luthfi M.M., Zhuang, X.Y. and Rabczuk, T. (2018), "Computational modelling of fracture in encapsulation-based self-healing concrete using cohesive elements", Compos. Struct., 196, 63-75. https://doi.org/10.1016/j.compstruct.2018.04.066.
  23. Morales-Alonso, G., Rey-de-Pedraza, V., Galvez, F. and Cendon, D.A. (2018), "Numerical simulation of fracture of concrete at different loading rates by using the cohesive crack model", Theor. Appl. Fract. Mech., 96, 308-325. https://doi.org/10.1016/j.tafmec.2018.05.003.
  24. Nooru-Mohamed, M.B. (1992), "Mixed mode fracture of concrete: an experimental approach", Ph.D Thesis, TU Delft, The Netherlands.
  25. Pijaudier-Cabot, G. and Bazant, Z.P. (1987), "Nonlocal damage theory", ASCE J. Eng. Mech., 113, 1512-1533. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:10(1512).
  26. Ren, W., Yang, Z., Sharma, R., Zhang, C.H. and Withers, P.J. (2015), "Two-dimensional X-ray CT image based meso-scale fracture modelling of concrete", Eng. Fract. Mech., 133, 24-39. https://doi.org/10.1016/j.engfracmech.2014.10.016.
  27. Roubin, E., Colliat, J.B. and Benkemoun, N. (2015), "Meso-scale modelling of concrete: A morphological description based on excursion sets of random fields", Comput. Mater. Sci., 102, 183-195. https://doi.org/10.1016/j.commatsci.2015.02.039.
  28. Sadowski, L., Nikoo, M. and Nikoo, M. (2018), "Concrete compressive strength prediction using the imperialist competitive algorithm", Comput. Concrete, 22(4), 355-363. https://doi.org/10.12989/cac.2018.22.4.355.
  29. Shemirani, A.B., Sarfarazi, V., Haeri, H. and Marji, M.F. (2018), "A discrete element simulation of a punch-through shear test to investigate the confining pressure effects on the shear behaviour of concrete cracks", Comput. Concrete, 21(2), 189-197. https://doi.org/10.12989/cac.2018.21.2.189.
  30. Sirico, A., Michelini, E., Bernardi, P. and Cerioni, R. (2017), "Simulation of the response of shrunk reinforced concrete elements subjected to short-term loading: a bi-dimensional numerical approach", Eng. Fract. Mech., 174, 64-79. https://doi.org/10.1016/j.engfracmech.2016.11.020.
  31. Skarzynski, L., Nitka, M. and Tejchman, J. (2015), "Modelling of concrete fracture at aggregate level using FEM and DEM based on X-ray ${\mu}$CT images of internal structure", Eng. Fract. Mech., 147, 13-35. https://doi.org/10.1016/j.engfracmech.2015.08.010.
  32. Tekin, I., Birgul, R. and Aruntas, H.Y. (2018), "X-ray CT monitoring of macro void development in mortars exposed to sulphate attack", Comput. Concrete, 21(4), 367-376. https://doi.org/10.12989/cac.2018.21.4.367.
  33. Trawinski, W., Bohinski, J. and Tejchman, J. (2016), "Twodimensional simulations of concrete fracture at aggregate level with cohesive elements based on X-ray ${\mu}$CT images", Eng. Fract. Mech., 168, 204-226. https://doi.org/10.1016/j.engfracmech.2016.09.012.
  34. Walraven, J. and Reinhardt, H. (1981), "Theory and experiments on the mechanical behaviour of cracks in plain and reinforced concretes subjected to shear loading", Herony, 26, 26-33.
  35. Wang, Z.L., Gu, X.L. and Lin, F. (2011), "Experimental study on failure criterion of mortar under combined stresses", J. Build. Mater., 4(4), 235-245. (In Chinese)
  36. Xue, X.H. (2018), "Evaluation of concrete compressive strength based on an improved PSO-LSSVM model", Comput. Concrete, 21(5), 505-511. https://doi.org/10.12989/cac.2018.21.5.505.
  37. Yin, A., Yang, X., Zeng, G. and Gao, H. (2015), "Experimental and numerical investigation of fracture behaviour of asphalt mixture under direct shear loading", Constr. Build. Mater., 86, 21-32. https://doi.org/10.1016/j.conbuildmat.2015.03.099.
  38. Yin, A., Yang, X., Zhang, C., Zeng, G. and Yang, Z. (2015), "Three-dimensional heterogeneous fracture simulation of asphalt mixture under uniaxial tension with cohesive crack model", Constr. Build. Mater., 76, 103-117. https://doi.org/10.1016/j.conbuildmat.2014.11.065.
  39. Yin, A.Y., Yang, X.H. and Yang, Z.J. (2013), "2D and 3D fracture modelling of asphalt mixture with randomly distributed aggregates and embedded cohesive cracks", Constr. Build. Mater., 76, 103-117. https://doi.org/10.1016/j.piutam.2013.01.013.
  40. Zhang, J., Wang, Z., Yang, H., Wang, Z. and Shu, X. (2018), "3D meso-scale modelling of reinforcement concrete with high volume fraction of randomly distributed aggregates", Constr. Build. Mater., 164, 350-361. https://doi.org/10.1016/j.conbuildmat.2017.12.229.
  41. Zhang, S., Zhang, C., Liao, L. and Wang, C. (2018), "Numerical study of the effect of ITZ on the failure behaviour of concrete by using particle element modelling", Constr. Build. Mater., 170, 776-789. https://doi.org/10.1016/j.conbuildmat.2018.03.040.
  42. Zhang, Z., Song, X., Liu, Y., Wu, D. and Song, C. (2017), "Threedimensional mesoscale modelling of concrete composites by using random walking algorithm", Compos. Sci. Technol., 149, 235-245. https://doi.org/10.1016/j.compscitech.2017.06.015.
  43. Zhao, C., Zhong, X., Liu, B., Shu, X. and Shen, M. (2018), "A modified RBSM for simulating the failure process of RC sturctures", Comput. Concrete, 21(2), 219-229. https://doi.org/10.12989/cac.2018.21.2.219.
  44. Zhao, Q., Lisjak, A., Mahabadi, O., Liu, Q. and Grasselli, G. (2014), "Numerical simulation of hydraulic fracturing and associated microseismicity using finite-discrete element method", J. Rock Mech. Geotech. Eng., 6, 574-581. https://doi.org/10.1016/j.jrmge.2014.10.003.
  45. Zhao, S. and Sun, W. (2014), "Nano-mechanical behaviour of a green ultra-high performance concrete", Constr. Build. Mater., 63(7), 150-160. https://doi.org/10.1016/j.conbuildmat.2014.04.029.
  46. Zhong, X., Peng, X., Yan, S., Shen, M. and Zhai, Y. (2018), "Assessment of the feasibility of detecting concrete cracks in images acquired by unmanned aerial vehicles", Auto. Constr., 89, 49-57. https://doi.org/10.1016/j.autcon.2018.01.005.
  47. Zhong, X., Zhao, C., Liu, B., Shu, X. and Shen, M. (2018), "A 3-D RBSM for simulating the failure process of RC structures", Struct. Eng. Mech., 65(3), 291-302. https://doi.org/10.12989/sem.2018.65.3.291.

Cited by

  1. Analysis of a functionally graded nanocomposite sandwich beam considering porosity distribution on variable elastic foundation using DQM: Buckling and vibration behaviors vol.25, pp.3, 2019, https://doi.org/10.12989/cac.2020.25.3.215
  2. A proposal for an approach for meso scale modeling for concrete based on rigid body spring model vol.27, pp.3, 2019, https://doi.org/10.12989/cac.2021.27.3.283
  3. Forced vibration analysis of a micro sandwich plate with an isotropic/orthotropic cores and polymeric nanocomposite face sheets vol.28, pp.3, 2019, https://doi.org/10.12989/cac.2021.28.3.259