基于均匀化理论的混凝土等效弹性模量预测

硅酸盐通报 ›› 2022, Vol. 41 ›› Issue (5): 1609-1616.

基于均匀化理论的混凝土等效弹性模量预测

陈思翰, 吕方涛, 黄威, 王玲玲, 孔德文

贵州大学土木工程学院,贵阳 550025

收稿日期:2022-01-09 修回日期:2022-03-09 出版日期:2022-05-15 发布日期:2022-06-01
通讯作者: 王玲玲,博士,教授。E-mail:llwang1@gzu.edu.cn
作者简介:陈思翰(1998—),男,硕士研究生。主要从事混凝土材料方面的研究。E-mail:547420704@qq.com
基金资助:
国家自然科学基金(12162009);贵州省科技计划(黔科合基础[2020]1Y244);贵州大学培育计划(2019[28])

Prediction of Equivalent Elastic Modulus for Concrete Based on Homogenization Theory

CHEN Sihan, LYU Fangtao, HUANG Wei, WANG Lingling, KONG Dewen

School of Civil Engineering, Guizhou University, Guiyang 550025, China

Received:2022-01-09 Revised:2022-03-09 Online:2022-05-15 Published:2022-06-01

摘要/Abstract

摘要： 在细观层次上,将混凝土视为由骨料、水泥砂浆及骨料-水泥砂浆间界面过渡区构成的三相复合材料,基于Python语言,运用蒙特卡罗方法建立具有周期性的混凝土单胞模型,结合均匀化理论和周期性边界条件,提出了考虑界面层作用的混凝土等效弹性模量预测方法。采用已有文献结果验证了模型预测值的有效性,在此基础上,进一步研究单胞尺寸、界面层厚度、骨料体积率及骨料最大粒径对混凝土等效弹性模量的影响规律。结果表明,混凝土单胞模型可有效预测混凝土复合材料的弹性性能,与已有方法预测结果的误差范围为1.87%～4.97%,混凝土单胞模型的尺寸建议以150 mm为宜,20%～40%内的骨料体积率对混凝土等效弹性模量的影响最为明显,而界面层厚度与骨料最大粒径对混凝土弹性模量的影响较小,呈单调递减或单调递增的影响规律。

关键词: 混凝土, 单胞模型, 均匀化理论, 周期性边界条件, 等效弹性模量, 骨料体积率

Abstract: From mesoscale aspect, concrete was considered as a three-phase composite material consisting of aggregate, cement mortar and the interfacial transition zone between aggregate and cement mortar. Based on Python language, a unite-cell model with periodicity was established by using Monte Carlo method. The prediction method of equivalent elastic modulus of concrete was proposed by combining homogenization theory and periodic boundary conditions. The predicted values of the model were compared with the results in existing literature to verify the validity of the present model. On this basis, the influences of unite-cell size, interfacial transition zone thickness, aggregate volume rate and maximum aggregate size on the equivalent elastic modulus of concrete were investigated. The results show that the unite-cell model can effectively predict the elastic properties of concrete composite materials. The error locates in the range of 1.87% to 4.97%, compared with the existing results. The size of concrete unite-cell model is recommended to be 150 mm. In the range of 20% to 40%, the aggregate volume rate has significant effect on the equivalent elastic modulus of concrete. Moreover, the interfacial transition zone thickness and maximum size of aggregate exhibit slight effect on the equivalent elastic modulus of concrete, showing a monotonically decreasing or monotonically increasing effect pattern.

Key words: concrete, unite-cell model, homogenization theory, periodic boundary condition, equivalent elastic modulus, aggregate volume rate

中图分类号:

TU528

陈思翰, 吕方涛, 黄威, 王玲玲, 孔德文. 基于均匀化理论的混凝土等效弹性模量预测[J]. 硅酸盐通报, 2022, 41(5): 1609-1616.

CHEN Sihan, LYU Fangtao, HUANG Wei, WANG Lingling, KONG Dewen. Prediction of Equivalent Elastic Modulus for Concrete Based on Homogenization Theory[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2022, 41(5): 1609-1616.

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