Skip to main content
SpringerLink
Log in

Differential-scheme based micromechanical framework for unsaturated concrete repaired by the electrochemical deposition method

  • Original Paper
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

Most concrete structures repaired by the electrochemical deposition method (EDM) are not fully saturated in reality. Based on our latest work, a differential-scheme-based micromechanical framework is presented to predict the properties of unsaturated concrete repaired by the EDM. The equivalent matrix is reached by the micromechanical homogenization to the two-phase composite composed by the intrinsic concrete and unsaturated pores with different shapes. According to the multiphase micromechanical healing model which we presented recently, the three different states of the healing process in the saturated zone of the unsaturated concrete, including no healing, partial healing and complete healing, are quantitatively investigated by modifying the differential-scheme and the generalized self-consistent method with the obtained equivalent matrix. Modification procedures are utilized to rationalize the differential-scheme-based estimations for the repaired concrete in the dry state. Furthermore, predictions herein are compared with those of the existing models and available experimental results, thus illustrating the feasibility and capability of the proposed micromechanical framework. It is found that the predictions in this extension correspond to the experimental data better than those of our recent work.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yokoda, M., Fukute, T.: 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 (1992)

  2. Sasaki, H., Yokoda M.: Repair method of marine reinforced concrete by electro deposition technique. In: Proceedings of the Annual Conference of Japanese Concrete Institute, pp. 849–854 (1992)

  3. Jiang, Z.W., Li, W.T., Yuan, Z.C.: Influence of mineral additives and environmental conditions on the self-healing capabilities of cementitious materials. Cem. Concr. Compos. 57, 116–127 (2015)

    Article  Google Scholar 

  4. Otsuki, N., Hisada, M., Ryu, J.S., Banshoya, E.J.: Rehabilition of concrete cracks by electrodeposition. Concr. Int. 21, 58–62 (1999)

    Google Scholar 

  5. Otsuki, N., Ryu, J.S.: Use of electrodeposition for repair of concrete with shrinkage cracks. J. Mater. Civil Eng. 13, 136–142 (2001)

    Article  Google Scholar 

  6. Ryu, J.S., Otsuki, N.: Crack closure of reinforced concrete by electro deposition technique. Cem. Concr. Res. 32, 159–264 (2002)

    Article  Google Scholar 

  7. Ryu, J.S.: New waterproofing technique for leaking concrete. J. Mater. Sci. Lett. 22, 1023–1025 (2003)

    Article  Google Scholar 

  8. Ryu, J.S.: Influence of crack width, cover depth, water cement ratio and temperature on the formation of electrodeposition on the concrete surface. Mag. Concr. Res. 55, 35–40 (2003)

    Article  Google Scholar 

  9. Ryu, J.S., Otsuki, N.: Experimental study on repair of concrete structural members by electrochemical method. Scr. Mater. 52, 1123–1127 (2005)

    Article  Google Scholar 

  10. Jiang, L.H., Chu, H.Q.: Influence of concrete parameters on electrodeposition effect. Adv. Sci. Technol. Water Resour. 25, 23–25 (2005)

    Google Scholar 

  11. Jiang, Z.W., Xing, F., Sun, Z.P., Wang, P.M.: Healing effectiveness of cracks rehabilitation in reinforced concrete using electrodeposition method. J. Wuhan Univ. Technol. 23, 917–922 (2008)

    Article  Google Scholar 

  12. Chang, J.J., Yeih, W.C., Hsu, H.M., Huang, N.M.: Performance evaluation of using electrochemical deposition as a repair method for reinforced concrete beams. Struct. Longev. 1, 75–93 (2009)

    Google Scholar 

  13. Chu, H.Q., Jiang, L.H.: Correlation analysis between concrete parameters and electrodeposition effect based on grey theory. J. Wuhan Univ. Technol. 31, 22–26 (2009)

    Google Scholar 

  14. Chen, Q.: The stochastic micromechanical models of the multiphase materials and their applications for the concrete repaired by electrochemical deposition method. Ph.D. dissertation Tongji University, Shanghai (2014)

  15. Zhu, H.H., Chen, Q., Yan, Z.G., Ju, J.W., Zhou, S.: Micromechanical model for saturated concrete repaired by electrochemical deposition method. Mater. Struct. 47, 1067–1082 (2014)

    Article  Google Scholar 

  16. Persson, B.: Moisture in concrete subjected to different kinds of curing. Mater. Struct. 30, 533–544 (1997)

    Article  Google Scholar 

  17. Chatterji, S.: An explanation for the unsaturated state of water stored concrete. Cem. Concr. Compos. 26, 75–79 (2004)

    Article  Google Scholar 

  18. Jiang, Z.W., Li, W.T., Deng, Z.L., Yan, Z.G.: Experimental investigation of the factors affecting accuracy and resolution of the pore structure of cement-based materials by thermoporometry. J. Zhejiang Univ. Sci. 14, 720–730 (2013)

    Article  Google Scholar 

  19. Jiang, Z.W., Sun, Z.P., Wang, P.M.: Internal relative humidity distribution in cement paste due to moisture diffusion and self-desiccation. Cem. Concr. Res. 36, 320–325 (2006)

    Article  Google Scholar 

  20. Jiang, Z.W., Sun, Z.P., Wang, P.M.: Autogenous relative humidity change and autogenous shrinkage of high-performance cement pastes. Cem. Concr. Res. 35, 1539–1545 (2005)

    Article  Google Scholar 

  21. Yan, Z.G., Chen, Q., Zhu, H.H., Ju, J.W., Zhou, S., Jiang, Z.W.: A multiphase micromechanical model for unsaturated concrete repaired by electrochemical deposition method. Int. J. Solids Struct. 50, 3875–3885 (2013)

    Article  Google Scholar 

  22. Wang, H.L., Li, Q.B.: Prediction of elastic modulus and Poisson’s ratio for unsaturated concrete. Int. J. Solids Struct. 44, 1370–1379 (2007)

    Article  MATH  Google Scholar 

  23. Chen, Q., Zhu, H.H., Yan, Z.G., Deng, T., Zhou, S.: Micro-scale description of the saturated concrete repaired by electrochemical deposition method based on Mori-Tanaka method. J. Build Struct. 36, 98–103 (2015)

    Google Scholar 

  24. Chen, Q., Zhu, H.H., Yan, Z.G., Ju, J.W., Deng, T., Zhou, S.: Micro-scale description of the saturated concrete repaired by electrochemical deposition method based on self-consistent method. Chin. J. Theor. Appl. Mech. 47, 367–371 (2015)

    Google Scholar 

  25. Berryman, J.G.: Long-wave propagation in composite elastic media II. Ellipsoidal inclusion. J. Acoust. Soc. Am. 68, 1820–1831 (1980)

    Article  MATH  Google Scholar 

  26. Yaman, I.O., Hearn, N., Aktan, H.M.: Active and non-active porosity in concrete part I: experimental evidence. Mater Struct. 35(3), 102–109 (2002)

    Article  Google Scholar 

  27. Qu, J., Cherkaoui, M.: Fundamentals of Micromechanics of Solids. Wiley, Hoboken (2006)

    Book  Google Scholar 

  28. Mura, T.: Micromechanics of defects in solids. Kluwer Academic Pub, Dordrecht (1987)

    Book  MATH  Google Scholar 

  29. Ju, J., Chen, T.M.: Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities. Acta Mech. 103, 103–121 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  30. Ju, J., Chen, T.: Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities. Acta Mech. 103, 123–144 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  31. Weng, G.: Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int. J. Eng. Sci. 22, 845–856 (1984)

    Article  MATH  Google Scholar 

  32. Weng, G.: The theoretical connection between Mori–Tanaka’s theory and the Hashin–Shtrikman–Walpole bounds. Int. J. Eng. Sci. 28, 1111–1120 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  33. Norris, A.N.: A differential scheme for the effective modulus of composites. Mech. Mat. 4, 1–16 (1985)

    Article  Google Scholar 

  34. McLaughlin, R.: A study of the differential scheme for composite materials. Int. J. Eng. Sci. 15, 237–244 (1977)

    Article  MATH  Google Scholar 

  35. Li, G.Q., Zhao, Y., Pang, S.S.: Four-phase sphere modeling of effective bulk modulus of concrete. Cem. Concr. Res. 29, 839–845 (1999)

    Article  Google Scholar 

  36. Nguyen, N.B., Giraud, A., Grgic, D.: A composite sphere assemblage model for porous oolitic rocks. Int. J. Rock Mech. Min. 48, 909–921 (2011)

    Article  Google Scholar 

  37. Ju, J., Zhang, X.: Micromechanics and effective transverse elastic moduli of composites with randomly located aligned circular fibers. Int. J. Solids Struct. 35, 941–960 (1998)

    Article  MATH  Google Scholar 

  38. Ju, J., Sun, L.: A novel formulation for the exterior-point Eshelby’s tensor of an ellipsoidal inclusion. J. Appl. Mech. 66, 570–574 (1999)

    Article  Google Scholar 

  39. Ju, J., Sun, L.: Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part I: micromechanics-based formulation. Int. J. Solids Struct. 38, 183–201 (2001)

    Article  MATH  Google Scholar 

  40. Ju, J., Yanase, K.: Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions. Acta Mech. 215, 135–153 (2010)

    Article  MATH  Google Scholar 

  41. Ju, J., Yanase, K.: Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions. Acta Mech. 216, 87–103 (2011)

    Article  MATH  Google Scholar 

  42. Sun, L., Ju, J.: Effective elastoplastic behavior of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. Part II: applications. Int. J. Solids Struct. 38, 203–225 (2001)

    Article  MATH  Google Scholar 

  43. Sun, L., Ju, J.: Elastoplastic modeling of metal matrix composites containing randomly located and oriented spheroidal particles. J. Appl. mech. 71, 774–785 (2004)

    Article  MATH  Google Scholar 

  44. Yanase, K., Ju, J.W.: Effective elastic moduli of spherical particle reinforced composites containing imperfect interfaces. Int. J. Damage Mech. 21, 97–127 (2012)

    Article  Google Scholar 

  45. Zhu, H.H., Chen, Q., Ju, J.W., Yan, Z.G., Guo, F., Wang, Y.Q., Jiang, Z.W., Zhou, S., Wu, B.: Maximum entropy based stochastic micromechanical model for two-phase composite considering the inter-particle interaction effect. Acta Mech. 226, 3069–3084 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  46. Chen, Q., Zhu, H.H., Ju, J.W., Guo, F., Wang, L.B., Yan, Z.G., Deng, T., Zhou, S.: A stochastic micromechanical model for multiphase composite containing spherical inhomogeneities. Acta Mech. 226, 1861–1880 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  47. Mousavi Nezhad, M., Zhu, H.H., Ju, J.W., Chen, Q.: A simplified multiscale damage model for the transversely isotropic shale rocks under tensile loading. Int. J. Damage Mech. 25(5), 705–726 (2016)

    Article  Google Scholar 

  48. Chen, Q., Mousavi Nezhad, M., Fisher, Q., Zhu, H.H.: Multi-scale approach for modeling the transversely isotropic elastic properties of shale considering multi-inclusions and interfacial transition zone. Int. J. Rock Mech. Min. 84, 95–104 (2016)

    Google Scholar 

  49. Hashin, Z.: The elastic moduli of heterogeneous materials. J. Appl. Mech. 29, 143–150 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  50. Christensen, R.M., Lo, K.H.: Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27, 315–330 (1979)

    Article  MATH  Google Scholar 

  51. Cohen, L., Ishai, O.: The elastic properties of three-phase composites. J. Compos. Mater. 1, 390–403 (1967)

    Article  Google Scholar 

  52. Smith, J.C.: Experimental values for the elastic constants of a particulate-filled glassy polymer. J. Res. NBS 80A, 45–49 (1976)

    Article  Google Scholar 

  53. Zhu, H.H., Zhou, S., Yan, Z.G., Ju, J.W., Chen, Q.: 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. 24, 95–115 (2015)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Civil Engineering Materials of Ministry of Education, Tongji University, 4800 Cao’an Road, Shanghai, 201804, China

    Qing Chen, Zhengwu Jiang & Zhenghong Yang

  2. Shaanxi Provincial Major Laboratory for Highway Bridge and Tunnel, Chang’an University, Xi’an, 710064, Shaanxi, China

    Qing Chen & Yaqiong Wang

  3. State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, 1239 Siping Road, Shanghai, 200092, China

    Hehua Zhu & Zhiguo Yan

  4. Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education, Tongji University, 1239 Siping Road, Shanghai, 200092, China

    Hehua Zhu & Zhiguo Yan

  5. Department of Civil and Environmental Engineering, University of California, Los Angeles, CA, 90095, USA

    J. Woody Ju

Authors
  1. Qing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhengwu Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhenghong Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hehua Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Woody Ju
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Zhiguo Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Yaqiong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhengwu Jiang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, Q., Jiang, Z., Yang, Z. et al. Differential-scheme based micromechanical framework for unsaturated concrete repaired by the electrochemical deposition method. Acta Mech 228, 415–431 (2017). https://doi.org/10.1007/s00707-016-1710-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-016-1710-6

Search

Navigation