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An analytical method for prediction of the elastic modulus of concrete

机译：一种预测混凝土弹性模量的分析方法

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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.
机译：实验和理论研究表明，在预测其弹性模量时，应将混凝土模拟为介观水平的三相材料，并且在预测中应考虑这些三相成分的比例，力学性能和相互作用。本文试图开发一种预测混凝土弹性模量的分析方法。提出了一种用于混凝土基体的三相复合圆模型来代表混凝土的异质性。基于经典的弹性理论，得出了混凝土平面应变体积模量的封闭形式解。在通过实验和数值结果验证了所开发方法后，骨料面积分数，骨料弹性模量，界面过渡区（ITZ）弹性模量，最大骨料直径，最大水泥直径和骨料级配的影响定量检查混凝土的弹性模量。结果表明，混凝土的弹性模量随骨料面积率，骨料的弹性模量，ITZ的弹性模量和最大骨料直径的增加而增加，但随最大水泥直径的增加而减小。还发现骨料级配在一定程度上影响混凝土的弹性模量。本文得出的结论是，本文得出的解析解可以合理地预测混凝土的弹性模量。

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