# An analytical method for prediction of the elastic modulus of concrete

Zhou, X.Z., Zheng, J.J. and Li, Chun-Qing (2006) *An analytical method for prediction of the elastic modulus of concrete.* Magazine of Concrete Research, 58 (10). pp. 665-673. ISSN 0024-9831 (doi:10.1680/macr.2006.58.10.665)

## Abstract

Experimental and theoretical research has shown that in predicting its elastic modulus, concrete should be modelled

as a three-phase material at a mesoscopic level and the proportions, mechanical properties and interaction of these

three-phase constituents should all be considered in the prediction. The current paper attempts to develop an

analytical method for prediction of the elastic modulus of concrete. A three-phase composite circle model for the

concrete matrix is proposed to represent the heterogeneous nature of concrete. Based on the classic theory of

elasticity, a closed-form solution to the plane strain bulk modulus of concrete is derived. After verifying the

developed method with both experimental and numerical results, the effects of the aggregate area fraction, the

elastic modulus of aggregate, the elastic modulus of interfacial transition zone (ITZ), the maximum aggregate

diameter, the maximum cement diameter and the aggregate gradation on the elastic modulus of concrete are

examined in a quantitative manner. It is found that the elastic modulus of concrete increases with the increase of

the aggregate area fraction, the elastic modulus of aggregate, the elastic modulus of ITZ and the maximum

aggregate diameter, but decreases with the increase of the maximum cement diameter. It is also found that the

aggregate gradation affects the elastic modulus of concrete to a certain extent. The paper concludes that the

analytical solution derived herein can predict the elastic modulus of concrete with reasonable accuracy

Item Type: | Article |
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Uncontrolled Keywords: | interfacial transition zone, cement paste, bulk modulus, aggregate, mortar |

Subjects: | T Technology > T Technology (General) T Technology > TS Manufactures |

School / Department / Research Groups: | School of Engineering > Department of Civil Engineering School of Engineering |

Related URLs: | |

Last Modified: | 31 Mar 2011 18:21 |

URI: | http://gala.gre.ac.uk/id/eprint/3467 |

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