DOI QR코드

DOI QR Code

A 3D analytical model for the probabilistic characteristics of self-healing model for concrete using spherical microcapsule

  • Zhu, Hehua (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Zhou, Shuai (Department of Geotechnical Engineering, Tongji University) ;
  • Yan, Zhiguo (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Ju, Woody (Department of Geotechnical Engineering, Tongji University) ;
  • Chen, Qing (Department of Geotechnical Engineering, Tongji University)
  • 투고 : 2013.10.14
  • 심사 : 2014.11.25
  • 발행 : 2015.01.25

초록

In general, cracks significantly deteriorate the in-situ performance of concrete members and structures, especially in urban metro tunnels that have been embedded in saturated soft soils. The microcapsule self-healing method is a newly developed healing method for repairing cracked concrete. To investigate the optimal microcapsule parameters that will have the best healing effect in concrete, a 3D analytical probability healing model is proposed; it is based on the microcapsule self-healing method's healing mechanism, and its purpose is to predict the healing efficiency and healing probability of given cracks. The proposed model comprehensively considers the radius and the volume fraction of microcapsules, the expected healing efficiency, the parameters of cracks, the broken ratio and the healing probability. Furthermore, a simplified probability healing model is proposed to facilitate the calculation. Then, a Monte Carlo test is conducted to verify the proposed 3D analytical probability healing model. Finally, the influences of microcapsules' parameters on the healing efficiency and the healing probability of the microcapsule self-healing method are examined in light of the proposed probability model.

키워드

참고문헌

  1. Alfredsson, K. and Stigh, U. (2004), "Continuum damage mechanics revised: A principle for mechanical and thermal equivalence", Int. J. Solids Struct., 41(15), 4025-4045. https://doi.org/10.1016/j.ijsolstr.2004.02.052
  2. Barbero, E.J., Greco, F. and Lonetti, P. (2005), "Continuum damage-healing mechanics with application to self-healing composites", Int. J. Damage Mech., 14(1), 51-81. https://doi.org/10.1177/1056789505045928
  3. Brown, E.N., White, S.R. and Sottos, N.R. (2005a), "Retardation and repair of fatigue cracks in a microcapsule toughened epoxy composite-part I: manual infiltration", Compos. Sci. Technol., 65(15), 2466-2473. https://doi.org/10.1016/j.compscitech.2005.04.020
  4. Brown, E.N., White, S.R. and Sottos, N.R. (2005b), "Retardation and repair of fatigue cracks in a microcapsule toughened epoxy composite-part II: in situ self-healing", Compos. Sci. Technol., 65(15), 2474-2480. https://doi.org/10.1016/j.compscitech.2005.04.053
  5. Brown, E.N., Sottos, N.R., and White, S.R. (2002), "Fracture testing of a self-healing polymer composite", Exp. Mech., 42(4), 372-379. https://doi.org/10.1007/BF02412141
  6. Darabi, M.K., Abu Al-Rub, R.K. and Little, D.N. (2012), "A continuum damage mechanics framework for modeling micro-damage healing", Int. J. Solids Struct., 49(3), 492-513. https://doi.org/10.1016/j.ijsolstr.2011.10.017
  7. Dry, C. and McMillan, W. (1996), "Three-part methylmethacrylate adhesive system as an internal delivery system for smart responsive concrete", Smart Mater. Struct., 5(3), 297-300. https://doi.org/10.1088/0964-1726/5/3/007
  8. Dry, C.M. (2001), "Design of self-growing, self-sensing, and self-repairing materials for engineering applications", Proc. SPIE, Melbourne, Australia, December.
  9. Herbst, O. and Luding, S. (2008), "Modeling particulate self-healing materials and application to uni-axial compression", Int. J. Fracture, 154(1-2), 87-103. https://doi.org/10.1007/s10704-008-9299-y
  10. Jang, S.Y., Kim, B.S. and Oh, B.H. (2011), "Effect of crack width on chloride diffusion coefficients of concrete by steady-state migration tests", Cement Concr. Res., 41(1), 9-19. https://doi.org/10.1016/j.cemconres.2010.08.018
  11. Ju, J.W. (1989), "On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects", Int. J. Solids Struct., 25(7), 803-833. https://doi.org/10.1016/0020-7683(89)90015-2
  12. Ju, J.W. (1990), "Isotropic and anisotropic damage variables in continuum damage mechanics", J. Eng. Mech., 116(12), 2764-2770. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:12(2764)
  13. Ju, J.W., Monteiro, P.J. and Rashed, A.I. (1989), "Continuum damage of cement paste and mortar as affected by porosity and sand concentration", J. Eng. Mech., 115(1), 105-130. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:1(105)
  14. Ju, J.W.,Yuan, K.Y. and Kuo, A. (2012), "Novel strain energy based coupled elastoplastic damage and healing models for geomaterials-Part I: Formulations", Int. J. Damage Mech., 21(4), 525-549. https://doi.org/10.1177/1056789511407359
  15. Ju, J.W. (1991), "On two-dimensinal self-consistent micromechanical damage models for brittle solids", Int. J. Solids Struct., 27(2), 227-258. https://doi.org/10.1016/0020-7683(91)90230-D
  16. Ju, J.W. and Chen, T. M. (1994a), "Effective elastic moduli of two-dimensional brittle solids with interacting microcracks. I:basic formulations", J. Appl. Mech., 61(2), 349-357. https://doi.org/10.1115/1.2901451
  17. Ju, J.W. and Chen, T. M. (1994b), "Effective elastic moduli of two-dimensional brittle solids with interacting microcracks. II: evolutionary damage models", J. Appl. Mech., 61(2), 358-366. https://doi.org/10.1115/1.2901452
  18. Ju, J.W. and Lee, X. (1991), "Micromechanical damage models for brittle solids. Part I: tensile loadings", J. Eng. Mech., 117(7), 1495-1514. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:7(1495)
  19. Ju, J.W. and Tseng, K.H. (1992), "A three-dimensional statistical micromechanical theory for brittle solids with interacting microcracks", Int. J. Damage Mech., 1(1), 102-131. https://doi.org/10.1177/105678959200100106
  20. Ju, J.W. and Tseng, K.H. (1995), "An improved two-dimensional micromechanical theory for brittle solids with randomly located interacting microcracks", Int. J. Damage Mech., 4(1), 23-57. https://doi.org/10.1177/105678959500400103
  21. Ju, J.W. and Yuan, K.Y. (2012), "New strain-energy-based coupled elastoplastic two-parameter damage and healing models for earth-moving processes", Int. J. Damage Mech., 21(7), 989-1019. https://doi.org/10.1177/1056789511425395
  22. Li, V.C.,Lim, Y.M. and Chan, Y.W. (1998), "Feasibility study of a passive smart self-healing cementitious composite", Compos. Part B-Eng., 29(6), 819-827. https://doi.org/10.1016/S1359-8368(98)00034-1
  23. Li, W.T., Jiang, Z.W., Yang, Z.H., Zhao, N. and Yuan, W.Z. (2013), "Self-healing efficiency of cementitious materials containing microcapsules filled with healing adhesive: mechanical restoration and healing process monitored by water absorption", PloS one, 8(11), e81616. https://doi.org/10.1371/journal.pone.0081616
  24. Marigo, J. (1985), "Modelling of brittle and fatigue damage for elastic material by growth of microvoids", Eng. Fracture Mech., 21(4), 861-874. https://doi.org/10.1016/0013-7944(85)90093-1
  25. Mehta, P.K. (1997), "Durability-critical issues for the future", Concr. Int., 19(7), 27-33.
  26. Mookhoek, S.D., Fischer, H.R. and Zwaag, S.v.d. (2009), "A numerical study into the effects of elongated capsules on the healing efficiency of liquid-based systems", Comput. Mater. Sci., 47(2), 506-511. https://doi.org/10.1016/j.commatsci.2009.09.017
  27. Nishiwaki, T., Mihashi, H.,Jang, B.K. and Miura, K. (2006), "Development of self-healing system for concrete with selective heating around crack", J. Adv. Concr. Technol., 4(2), 267-275. https://doi.org/10.3151/jact.4.267
  28. Simo, J.C. and Ju, J.W. (1987a), "Strain-and stress-based continuum damage models-I. Formulation", Int. J. Solids Struct., 23(7), 821-840. https://doi.org/10.1016/0020-7683(87)90083-7
  29. Simo, J.C. and Ju, J.W. (1987b), "Strain-and stress-based continuum damage models-II. Computational aspects", Int. J. Solids Struct., 23(7), 841-869. https://doi.org/10.1016/0020-7683(87)90084-9
  30. Thao, T.D.P., Johnson, T.J.S., Tong, Q.S. and Dai, P.S. (2009), "Implementation of self-healing in concrete-Proof of concept", IES J.Part A, 2(2), 116-125.
  31. Van Tittelboom, K., De Belie, N., Lehmann, F. and Grosse, C.U. (2012), "Acoustic emission analysis for the quantification of autonomous crack healing in concrete", Constr. Build. Mater., 28(1), 333-341. https://doi.org/10.1016/j.conbuildmat.2011.08.079
  32. Van Tittelboom, K., De Belie, N., Van Loo, D. and Jacobs, P. (2011), "Self-healing efficiency of cementitious materials containing tubular capsules filled with healing agent", Cement Concrete Compos., 33(4), 497-505. https://doi.org/10.1016/j.cemconcomp.2011.01.004
  33. Voyiadjis, G.Z., Shojaei, A. and Li, G. (2011), "A thermodynamic consistent damage and healing model for self healing materials", Int. J. Plast., 27(7), 1025-1044. https://doi.org/10.1016/j.ijplas.2010.11.002
  34. White, S.R., Sottos, N., Geubelle, P., Moore, J., Kessler, M.R., Sriram, S., Brown, E. and Viswanathan, S. (2001), "Autonomic healing of polymer composites", Nat., 409(6822), 794-797. https://doi.org/10.1038/35057232
  35. Yang, Z.X., Hollar, J., He, X.D. and Shi, X.M. (2010), "Laboratory assessment of a self-healing cementitious composite", Transport. Res. Rec., 2142(1), 9-17. https://doi.org/10.3141/2142-02
  36. Yang, Z.X., Hollar, J., He, X.D. and Shi, X.M. (2011), "A self-healing cementitious composite using oil core/silica gel shell microcapsules", Cement Concr. Compos., 33(4), 506-512. https://doi.org/10.1016/j.cemconcomp.2011.01.010
  37. Yuan, K.Y. and Ju, J.W. (2013), "New strain energy-based coupled elastoplastic damage-healing formulations accounting for effect of matric suction during earth-moving processes", J. Eng. Mech., 139(2), 188-199. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000474
  38. Yuan, H.F. and Chen, H.S. (2013), "Quantitative solution of size and dosage of capsules for self-healing of cracks in cementitious composites", Comput. Concr., 11(3), 223-236. https://doi.org/10.12989/cac.2013.11.3.223
  39. Zemskov, S.V., Jonkers, H.M. and Vermolen, F.J. (2010), "An analytical model for the probability characteristics of a crack hitting an encapsulated self-healing agent in concrete", Proceeding of the 12th Int. Conf. on Computer algebra in scientific computing, Springer-Verlag, Berlin, 280-292.
  40. Zemskov, S.V., Jonkers, H.M. and Vermolen, F.J. (2011), "Two analytical models for the probability characteristics of a crack hitting encapsulated particles: Application to self-healing materials", Comput. Mater. Sci., 50(12), 3323-3333. https://doi.org/10.1016/j.commatsci.2011.06.024
  41. Zhu, H.H., Zhou, S., Yan, Z.G., Ju, J.W. and Chen, Q. (2014), "A two-dimensional micromechanical damage-healing model on microcrack-induced damage for microcapsule-enabled self-healing cementitious composites under tensile loading", Int. J. Damage Mech., DOI: 10.1177/1056789514522503.

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