Full Text:   <1135>

CLC number: TU5

On-line Access: 

Received: 2006-01-20

Revision Accepted: 2006-03-21

Crosschecked: 0000-00-00

Cited: 1

Clicked: 2946

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.101 P.293~296


A numerical method for predicting the elastic modulus of concrete made with two different aggregates

Author(s):  Zheng Jian-Jun, Zhou Xin-Zhu

Affiliation(s):  Faculty of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China

Corresponding email(s):   jjzheng@zjut.edu.cn

Key Words:  Concrete, Elastic modulus, Lattice type model, Finite element method

Zheng Jian-Jun, Zhou Xin-Zhu. A numerical method for predicting the elastic modulus of concrete made with two different aggregates[J]. Journal of Zhejiang University Science A, 2006, 7(101): 293~296.

@article{title="A numerical method for predicting the elastic modulus of concrete made with two different aggregates",
author="Zheng Jian-Jun, Zhou Xin-Zhu",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T A numerical method for predicting the elastic modulus of concrete made with two different aggregates
%A Zheng Jian-Jun
%A Zhou Xin-Zhu
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 101
%P 293~296
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.AS0293

T1 - A numerical method for predicting the elastic modulus of concrete made with two different aggregates
A1 - Zheng Jian-Jun
A1 - Zhou Xin-Zhu
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 101
SP - 293
EP - 296
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.AS0293

Experimental and theoretical research showed that in predicting concrete’s elastic modulus, it should be modelled as a three-phase composite material at a mesoscopic level, consisting of aggregates, interfacial transition zone (ITZ) and cement paste, and that the proportions, mechanical properties and interaction of the three phase constituents should all be considered in the prediction. The present paper attempts to develop a numerical method that can predict the elastic modulus of three-phase concrete made with two different aggregates. In this method, the mesostructure of concrete is simulated and the lattice type model is modified to take into account the mechanical properties of the cement paste, ITZ, and fine and coarse aggregates of concrete. The finite element method is then employed for analyzing the stress and strain in concrete and therefore for determining its elastic modulus. Finally, the developed numerical method is verified by comparison with the experimental results obtained from the research literature. The paper concludes that the numerical method can predict with reasonable accuracy the elastic modulus of concrete made with two different aggregates.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Anson, M., Newman, K., 1966. The effect of mix proportions and method of testing on Poisson’s ratio for mortars and concretes. Magazine of Concrete Research, 18(1):115-130.

[2] Berryman, J.G., 2006. Measures of microstructure to improve estimates and bonds on elastic constants and transport coefficients in heterogeneous media. Mechanics of Materials, 38(8-10):732-747.

[3] Ellakany, A.M., Elawadly, K.M., Alhamaky, B.N., 2004. A combined transfer matrix and analogue beam method for free vibration analysis of composite beams. Journal of Sound and Vibration, 277(4-5):765-781.

[4] Feng, X.Q., Yu, S.W., 2001. Effects of reinforcement shape on the effective moduli of composites (I). Journal of Tsinghua University, 41(11):8-10.

[5] Garboczi, E.J., Bentz, D.P., 1997. Analytical formulas for interfacial transition zone properties. Advanced Cement Based Materials, 6(3-4):99-108.

[6] Hashin, Z., Monteiro, P.J.M., 2002. An inverse method to determine the elastic properties of the interphase between the aggregate cement paste. Cement and Concrete Research, 32(8):1291-1300.

[7] Leite, J.P.B., Slowik, V., Mihashi, H., 2004. Computer simulation of fracture processes of concrete using mesolevel models of lattice structures. Cement and Concrete Research, 34(6):1025-1033.

[8] Li, C.Q., Zheng, J.J., Zhou, X.Z., McCarthy, M.J., 2003. A numerical method for the prediction of elastic modulus of concrete. Magazine of Concrete Research, 55(6):497-505.

[9] Li, G.Q., Zhao, Y., Pang, S.S., 1999. Four-phase sphere modeling of effective bulk modulus of concrete. Cement and Concrete Research, 29(6):839-845.

[10] Lutz, M.P., Zimmerman, R.W., 2005. Effect of an inhomogeneous interphase zone the bulk modulus and conductivity of a particulate composite. International Journal of Solids and Structures, 42(2):429-437.

[11] Lutz, M.P., Monteiro, P.J.M., Zimmerman, R.W., 1997. Inhomogeneous interfacial transition zone model for the bulk modulus of mortar. Cement and Concrete Research, 27(7):1113-1122.

[12] Nie, S.H., Basaran, C., 2005. A micromechanical model for effective elastic properties of particulate composites with imperfect interfacial bonds. International Journal of Solids and Structures, 42(14):4179-4191.

[13] Ramesh, G., Sotelino, E.D., Chen, W.F., 1996. Effect of transition zone on elastic moduli of concrete materials. Cement and Concrete Research, 26(4):611-622.

[14] Schlangen, E., van Mier, J.G.M., 1992. Experimental and numerical analysis of micromechanism of fracture of cement-based composites. Cement and Concrete Composites, 14(2):105-118.

[15] Simeonov, P., Ahmad, S., 1995. Effect of transition zone on the elastic behavior of cement-based composites. Cement and Concrete Research, 25(1):164-176.

[16] van Mier, J.G.M., van Vliet, M.R.A., 2003. Influence of microstructure of concrete on size/scale effects in tensile fracture. Engineering Fracture Mechanics, 70(16):2281-2306.

[17] Yang, C.C., Huang, R., 1996. Double inclusion model for approximate elastic moduli of concrete material. Cement and Concrete Research, 26(1):83-91.

[18] Zheng, J.J., Li, C.Q., 2003. Three-dimensional aggregate density in concrete with wall effect. ACI Materials Journal, 99(6):568-575.

[19] Zheng, J.J., Li, C.Q., Zhou, X.Z., 2005. Thickness of interfacial transition zone and cement content profiles between aggregates. Magazine of Concrete Research, 57(7):397-406.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE