Abstract
Based on our latest work, a differential-scheme based micromechanical framework is presented to predict the properties of saturated concrete repaired by the electrochemical deposition method (EDM), which investigates the healing mechanism of the EDM at the micro-scale level theoretically and quantitatively. The three different states of the healing process, including no healing, partial healing and complete healing, are quantitatively investigated by modifying the differential-scheme and the generalized self-consistent method based on the multiphase micromechanical healing model which we presented recently. Modification procedures are utilized to rationalize the differential-scheme based estimations by considering the water effects (including further hydration and viscosity in pores) and the shapes of the pores in the concrete. Furthermore, our predictions are compared with those of the existing models and available experimental results, thus illustrating the feasibility and capability of the proposed differential-scheme based micromechanical framework. Meanwhile, it is found that the predictions in this extension correspond to the experimental data better than those of our recent work.
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References
Mehta PK (1997) Durability-critical issues for the future. Concr Int 19:1–12
Edvardsen C (1999) Water permeability and autogenous healing of cracks in concrete. ACI Mater J 96(4):448–454
Otsuki N, Ryu JS (2001) Use of electrodeposition for repair of concrete with shrinkage cracks. J Mater Civ Eng ASCE 13(2):136–142
Yokoda M, Fukute T (1992). Rehabilitation and protection of marine concrete structure using electrodeposition method. In: Proceedings of the international RILEM/CSIRO/ACRA conference on rehabilitation of concrete structures, RILEM, Melbourne, pp 213–222
Sasaki H, Yokoda M (1992). Repair method of marine reinforced concrete by electro deposition technique. In: Proceedings of the annual conference of Japanese Concrete Institute, pp 849–854
Ryu JS, Otsuki N (2002) Crack closure of reinforced concrete by electro deposition technique. Cem Concr Res 32(1):159–264
Ryu JS (2003) New waterproofing technique for leaking concrete. J Mater Sci Lett 22:1023–1025
Monteiro P, Ryu JS (2004) Electrodeposition as a rehabilitation method for concrete materials. Can J Civ Eng 31(5):776–781
Ryu JS, Otsuki N (2005) Experimental study on repair of concrete structural members by electrochemical method. Scripta Mater 52:1123–1127
Mohankumar G (2005) Concrete repair by electrodeposition. Indian Concr J 79(8):57–60
Ryu JS (2001) An experimental study on the repair of concrete crack by electrochemical technique. Mater Struct 34(241):433–437
Ryu JS, Otsuki N (2001) Rehabilitation of cracked reinforced concrete using electrodeposition method. Mater Sci Res Int 7(2):122–126
Chang JJ, Yeih WC, Hsu HM, Huang NM (2009) Performance evaluation of using electrochemical deposition as a repair method for reinforced concrete beams. Tech Sci Press SL 1(2):75–93
Jiang ZW, Xing F, Sun ZP, Wang PM (2008) Healing effectiveness of cracks rehabilitation in reinforced concrete using electrodeposition method. J Wuhan Univ Technol 23(6):917–922
Ryu JS (2003) Influence of crack width, cover depth, water cement ratio and temperature on the formation of electrodeposition on the concrete surface. Mag Concr Res 55(1):35–40
Chu HQ, Jiang LH (2009) Correlation analysis between concrete parameters and electrodeposition effect based on grey theory. J Wuhan Univ Technol 31(7):22–26
Otsuki N, Hisada M, Ryu JS, Banshoya EJ (1999) Rehabilitation of concrete cracks by electrodeposition. Concr Int 21(3):58–62
Ryu JS, Otsuki N (2002) Application of electrochemical techniques for the control of cracks and steel corrosion in concrete. J Appl Electrochem 32(6):635–639
Zhu HH, Chen Q, Yan ZG, Ju JW, Zhou S (2014) Micromechanical model for saturated concrete repaired by electrochemical deposition method. Mater Struct 47:1067–1082
Chen Q, Zhu HH, Yan ZG, Deng T, Zhou S (2015) Micro-scale description of the saturated concrete repaired by electrochemical deposition method based on Mori–Tanaka method. J Build Struct 36(1):98–103
Ju JW, Chen TM (1994) Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities. Acta Mech 103:103–121
Qu JM, Cherkaoui M (2006) Fundamentals of micromechanics of solids. Wiley, Hoboken
Mura T (1987) Micromechanics of defects in solids. Martinus Nijhoff Publishers, Dordrecht
Ju JW, Chen TM (1994) Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities. Acta Mech 103:123–144
Norris AN (1985) A differential scheme for the effective modulus of composites. Mech Mater 4:1–16
McLaughlin R (1977) A study of the differential scheme for composite materials. Int J Eng Sci 15:237–244
Chen Q, Zhu HH, Yan ZG, Ju JW, Deng T, Zhou S (2015) Micro-scale description of the saturated concrete repaired by electrochemical deposition method based on self-consistent method. Chin J Theor Appl Mech 47(2):367–371
Chen Q (2014) The stochastic micromechanical models of the multiphase materials and their applications for the concrete repaired by electrochemical deposition method. Doctor dissertation of Tongji University, Shanghai
Stora E, He QC, Bary B (2006) Influence of inclusion shapes on the effective linear elastic properties of hardened cement pastes. Cem Concr Res 36(7):1330–1344
Jiang LH, Chu HQ (2005) Influence of concrete parameters on electrodeposition effect. Adv Sci Technol Water Resour 25(2):23–25
Li GQ, Zhao Y, Pang SS (1999) Four-phase sphere modeling of effective bulk modulus of concrete. Cem Concr Res 29:839–845
Garboczi EJ, Berryman JG (2001) Elastic moduli of a material containing composite inclusions: effective medium theory and finite element computations. Mech Mater 33(2):455–470
Yang QS, Tao X, Yang H (2007) A stepping scheme for predicting effective properties of the multi-inclusion composites. Int J Eng Sci 45:997–1006
Nguyen NB, Giraud A, Grgic D (2011) A composite sphere assemblage model for porous oolitic rocks. Int J Rock Mech Min Sci 48:909–921
Ju JW, Zhang XD (1998) Micromechanics and effective transverse elastic moduli of composites with randomly located aligned circular fibers. Int J Solids Struct 35(9–10):941–960
Ju JW, Sun LZ (1999) A novel formulation for the exterior-point Eshelby’s tensor of an ellipsoidal inclusion. J Appl Mech 66(2):570–574
Ju JW, Sun LZ (2001) Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part I: micromechanics-based formulation. Int J Solids Struct 38(2):183–201
Sun LZ, Ju JW (2001) Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: applications. Int J Solids Struct 38(2):203–225
Sun LZ, Ju JW (2004) Elastoplastic modeling of metal matrix composites containing randomly located and oriented spheroidal particles. J Appl Mech 71:774–785
Ju JW, Yanase K (2010) Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions. Acta Mech 215(1):135–153
Ju JW, Yanase K (2011) Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions. Acta Mech 216(1):87–103
Yanase K, Ju JW (2012) Effective elastic moduli of spherical particle reinforced composites containing imperfect interfaces. Int J Damage Mech 21(1):97–127
Chen Q, Zhu HH, Ju JW, Guo F, Wang LB, Yan ZG, Deng T, Zhou S (2015) A stochastic micromechanical model for multiphase composite containing spherical inhomogeneities. Acta Mech 226(6):1861–1880
Zhu HH, Chen Q, Ju JW, Yan ZG, Guo F, Wang YQ, Jiang ZW, Zhou S, Wu B (2015) Maximum entropy based stochastic micromechanical model for two-phase composite considering the inter-particle interaction effect. Acta Mech 226(9):3069–3084
Sheng P (1990) Effective-medium theory of sedimentary rocks. Phys Rev B 41:4507–4512
Christensen RM, Lo KH (1979) Solutions for effective shear properties in three phase sphere and cylinder models. J Mech Phys Solids 27:315–330
Hashin Z (1962) The elastic moduli of heterogeneous materials. J Appl Mech 29:143–150
Wang HL, Li QB (2005) Saturated concrete elastic modulus prediction. J Tsinghua Univ 45(6):761–763
Wang HL, Li QB (2007) Prediction of elastic modulus and Poisson’s ratio for unsaturated concrete. Int J Solids Struct 44:1370–1379
Berryman JG (1980) Long-wave propagation in composite elastic media II. Ellipsoidal inclusion. J Acoust Soc Am 68(6):1820–1831
Prassianakis IN, Prassianakis NI (2004) Ultrasonic testing of non-metallic materials: concrete and marble. Theor Appl Fract Mech 42:191–198
Yaman IO, Hearn N, Aktan HM (2002) Active and non-active porosity in concrete part I: experimental evidence. Mater Struct 35(3):102–109
Smith JC (1976) Experimental values for the elastic constants of a particulate-filled glassy polymer. J Res NBS 80A:45–49
Yan ZG, Chen Q, Zhu HH, Ju JW, Zhou S, Jiang ZW (2013) A multiphase micromechanical model for unsaturated concrete repaired by electrochemical deposition method. Int J Solids Struct 50(24):3875–3885
Acknowledgments
This work is supported by the National Key Basic Research and Development Program (973 Program, No. 2011CB013800) and National Natural Science Foundation of China (51508404, 51478348, 51278360, 51308407). This work is also supported by the 1000 Talents Plan Short-Term Program by the Organization Department of the Central Committee of the CPC, Research Program of State Key Laboratory for Disaster Reduction in Civil Engineering, the Scientific Platform Open Funds of Fundamental Research Plan for the Central Universities, Chang’an University (310821151113) and Natural Science Foundation of Shandong Province (ZR2013EEL019).
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Chen, Q., Jiang, Z., Yang, Z. et al. Differential-scheme based micromechanical framework for saturated concrete repaired by the electrochemical deposition method. Mater Struct 49, 5183–5193 (2016). https://doi.org/10.1617/s11527-016-0853-1
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DOI: https://doi.org/10.1617/s11527-016-0853-1