Skip to main content
SpringerLink
Log in

Predicting the mechanical properties of ordinary concrete and nano-silica concrete using micromechanical methods

  • Published:
Sādhanā Aims and scope Submit manuscript

Abstract

By combining several materials with specific mechanical properties, new materials with unknown mechanical properties are obtained. Various experiments are required to determine the mechanical properties of the produced composite materials. Since conducting experiment processes is costly and time-consuming, comprehensive studies have been conducted in recent years to solve the problem. Fortunately, it is possible to easily predict the mechanical properties of composite materials without the need to construct them, by inspecting their constituent’s properties using micromechanical methods. Although various micromechanical methods have been presented so far, few of them yielded precise predictions of the properties of composite materials. Therefore, selecting a method suitable to predict the properties of composite materials is of much importance. In this study, some micromechanical approaches, including Hirsch, Hansen, Bache, Cavento, Mori–Tanaka, Eshelby, self-consistent, effective interface and double-inclusion models, were employed for the estimation of elasticity modulus and Poisson’s ratio of ordinary and nanomaterial concretes. The results obtained from the micromechanical methods were compared to those obtained from experimental tests. The obtained numerical results showed that Bache’s model is the most accurate micromechanics model for predicting the elastic mechanical properties of ordinary and nanomaterial concretes.

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. Volterra V 1907 Sur l’equilibre des corps elastiques multiplement connexes. Ann. Ec. Norm. (Paris) 24(3): 401–517

    MATH  Google Scholar 

  2. Mindlin R D 1964 Microstructure in linear elasticity. Arch. Ration. Mech. Anal. 16: 51–78

    Article  Google Scholar 

  3. Eringen A C 1968 Theory of micropolar elasticity. New York: Academic Press, pp. 662–729

    MATH  Google Scholar 

  4. Bardenhagen S and Trianfyllidis N 1994 Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models. J. Mech. Phys. Solids 42: 111–139

    Article  MathSciNet  Google Scholar 

  5. Chang C S and Gao J 1995 Second-gradient constitutive theory for granular material with random packing structure. Int. J. Solids Struct. 32: 2279–2293

    Article  Google Scholar 

  6. Cowin S C and Nunziato J W 1983 Linear elastic materials with voids. J. Elast. 13: 125–147

    Article  Google Scholar 

  7. Ferrari M, Granik V T, Imam A and Nadeau J 1997 Advances in doublet mechanics. Berlin: Springer

    Book  Google Scholar 

  8. Budiansky B and O’Connell R J 1976 Elastic moduli of a cracked solid. Int. J. Solids Struct. 12: 81–97

    Article  Google Scholar 

  9. Kachanov M 1994 Elastic solids with many cracks and related problems. Adv. Appl. Mech. 30: 259–445

    Article  Google Scholar 

  10. Ostoja-Starzewski M and Wang C 1990 Linear elasticity of planar Delaunay networks part ii: Voigt and Reuss bounds, and modification for centroids. Acta Mech. 84: 47–61

    Article  MathSciNet  Google Scholar 

  11. Mura T 1987 Micromechanics of defects in solids. Dordrecht: Martinus Nijhoff

    Book  Google Scholar 

  12. Shokriyeh M and Parsayi A 2009 Studying the volume model of micro-buckling. In: Proceedings of the 2nd National Conference on Production and Manufacturing Engineering, Islamic Azad University of Najaf Abad

  13. Norris A N 1985 A differential scheme for the effective moduli of composites. Mech. Mater. 4: 1–16

    Article  Google Scholar 

  14. Dai L H, Huang Z P and Wang R A 1998 Generalized self-consistent Mori–Tanaka scheme for prediction of the effective elastic moduli of hybrid multiphase particulate composites. Polym. Compos. 19: 506–513

    Article  Google Scholar 

  15. Shokriyeh M and Elahi M 2011 A new model to estimate Young’s model for polymer concrete using micromechanical equations. Modarres Mech. Eng. J. 12(2): 153–162

    Google Scholar 

  16. Eshelby J D 1957 The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. Ser. A A241: 376–396

    Article  MathSciNet  Google Scholar 

  17. Lezgy-Nazargah M 2015 A micromechanics model for effective coupled thermo–electro-elastic properties of Macro Fiber Composites with interdigitated electrodes. J. Mech. 31(2): 183–199

    Article  Google Scholar 

  18. Lezgy-Nazargah M and Eskandari-Naddaf H 2017 Effective coupled thermo–electro-mechanical properties of piezoelectric structural fiber composites: a micromechanical approach. J. Intell. Mater. Syst. Struct. 29(4): 496–513

    Article  Google Scholar 

  19. Beycioğlu A, Gültekin A, Aruntaş H Y, Gencel O, Dobiszewska M and Brostow W 2017 Mechanical properties of blended cements at elevated temperatures predicted using a fuzzy logic model. Comput. Concr. 20(2): 247–255

    Google Scholar 

  20. Chen B, Mao Q, Gao J and Hu Z 2015 Concrete properties prediction based on database. Comput. Concr. 16(3): 343–356

    Article  Google Scholar 

  21. Najjar M F, Nehdi M L, Azabi T M and Soliman A M 2017 Fuzzy inference systems based prediction of engineering properties of two-stage concrete. Comput. Concr. 19(2): 133–142

    Article  Google Scholar 

  22. Boukhatem B, Kenai S, Hamou A T, Ziou D and Ghrici M 2012 Predicting concrete properties using neural networks (NN) with principal component analysis (PCA) technique. Comput. Concr. 10(6): 557–573

    Article  Google Scholar 

  23. Chu I, Amin M N and Kim J K 2013 Prediction model for the hydration properties of concrete. Comput. Concr. 12(4): 377–399

    Article  Google Scholar 

  24. Hirsch T J 1962 Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate. ACI J. Proc. 59(3): 427–451

    Google Scholar 

  25. Hansen T C 1965 Influence of aggregate and voids on modulus of elasticity of concrete, cement mortar and cement paste. ACI J. Proc. 62(2): 193–216

    Google Scholar 

  26. Counto V J 1964 The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete. Mag. Concr. Res. 16(48): 129–138

    Article  Google Scholar 

  27. Baalbaki W, Aitcin P C and Ballivy G 1992 On predicting modulus of elasticity in high-strength concrete. ACI Mater. J. 89(5): 517–520

    Google Scholar 

  28. Mori T and Tanaka 1973 Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21: 571–574

    Article  Google Scholar 

  29. Eshelby J D 1959 The elastic field outside an ellipsoidal inclusion. Proc. R. Soc. Lond. Ser. A 252: 561–569

    Article  MathSciNet  Google Scholar 

  30. Hill R 1965 A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13(4): 213–222

    Article  MathSciNet  Google Scholar 

  31. Dunn M L and Ledbetter H 1995 Elastic moduli of composites reinforced by multiphase particles. J. Appl. Mech. 62(4): 1023–1028

    Article  Google Scholar 

  32. Duplan F, Abou-Chakra A, Turatsinze A, Escadeillas G, Brule S and Masse F 2014 Prediction of modulus of elasticity based on micromechanics theory and application to low-strength mortars. Constr. Build. Mater. 50: 437–447

    Article  Google Scholar 

  33. Huang R, Yeih W and Sue I C 1995 Aggregate effect on elastic moduli of cement-based composite materials. J. Mar. Sci. Technol. 3(1): 5–10

    Google Scholar 

  34. Hashina Z and Monteiro P J M 2002 An inverse method to determine the elastic properties of the interphase between the aggregate and the cement paste. Cem. Concr. Res. 32: 1291–1300

    Article  Google Scholar 

  35. Nadeau J C 2003 A multiscale model for effective moduli of concrete incorporating ITZ water–cement ratio gradients, aggregate size distributions, and entrapped voids. Cem. Concr. Res. 33: 103–113

    Article  Google Scholar 

  36. Saloma A, Nasution A, Imran I and Abdullah M 2013 Experimental investigation on nanomaterial concrete. Int. J. Civ. Environ. Eng. 13: 15–20

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Civil Engineering, Hakim Sabzevari University, Sabzevar, P.O. Box 9617976487, Iran

    M Lezgy-Nazargah, S A Emamian, E Aghasizadeh & M Khani

Authors
  1. M Lezgy-Nazargah
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S A Emamian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E Aghasizadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M Khani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M Lezgy-Nazargah.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lezgy-Nazargah, M., Emamian, S.A., Aghasizadeh, E. et al. Predicting the mechanical properties of ordinary concrete and nano-silica concrete using micromechanical methods. Sādhanā 43, 196 (2018). https://doi.org/10.1007/s12046-018-0965-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12046-018-0965-0

Keywords

Search

Navigation