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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (7): 1393-1401    DOI: 10.3785/j.issn.1008-973X.2023.07.014
土木工程     
基于复合材料理论的混凝土内多离子扩散模型
田壮(),肖官衍,金伟良*(),夏晋,程新
浙江大学 建筑工程学院，浙江 杭州 310058
Diffusion model of multi ions in concrete based on composite theory
Zhuang TIAN(),Guan-yan XIAO,Wei-liang JIN*(),Jin XIA,Xin CHENG
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
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摘要：

根据Nernst-Einstein方程以及离子的浓度和电导率关系，探究多离子传输时离子浓度对离子扩散系数的影响，比较单离子传输和多离子传输的离子扩散系数差异. 根据通用有效介质（GEM）理论，分别计算水泥浆、骨料和ITZ内部的离子扩散系数和体积分数，得到混凝土内部离子扩散系数，探究混凝土的构成组分对离子扩散系数的影响. 综合考虑混凝土的构成组分以及离子的种类和浓度，提出基于多相复合材料理论的混凝土内部多离子扩散预测模型. 比较计算结果与试验数据可知，离子的扩散系数随着离子浓度的增加而明显下降. 和传统的离子扩散预测模型相比，该模型可以通过混凝土内部离子的种类和浓度预测离子的扩散系数，预测结果更加合理.
关键词： 混凝土;  多离子;  扩散系数;  通用有效介质理论;  多相复合材料    
Abstract:

The influence of multi-ion concentration on the ionic diffusion coefficient was analyzed according to Nernst-Einstein equation and the relationship between ionic concentration and electrical conductivity. The difference of diffusion coefficient between single-ion transport and multi-ion transport was compared. The ion diffusion coefficient of concrete was obtained based on the general effective media (GEM) theory by calculating the ionic diffusion coefficient and volume fraction of cement paste, aggregate and ITZ. The influence of components on the ionic diffusion coefficient in the concrete was analyzed. A prediction model of diffusion coefficient of multi ions in the concrete based on composite theory was constructed by comprehensively considering components of concrete, multi-ion species and concentration. The calculation results and experimental data were compared. Results show that the ionic diffusion coefficient decreases with the increasing of ionic concentration. The model can predict the ionic diffusion coefficient in the concrete based on ionic species and concentration compared with the traditional diffusion coefficient model. The prediction results are more rational.
Key words: concrete    multi ions    diffusion coefficient    general effective media theory    multi-phase composite material
收稿日期: 2022-07-20 出版日期: 2023-07-17
CLC:  TU 375  
基金资助: 国家自然科学基金资助项目（5217080389）
通讯作者: 金伟良     E-mail: 22012037@zju.edu.cn;jinwl@zju.edu.cn
作者简介: 田壮（1998—），男，硕士生，从事混凝土耐久性能的研究. orcid.org/0000-0002-1061-6365. E-mail： 22012037@zju.edu.cn
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田壮
肖官衍
金伟良
夏晋
程新

引用本文:

田壮,肖官衍,金伟良,夏晋,程新. 基于复合材料理论的混凝土内多离子扩散模型[J]. 浙江大学学报(工学版), 2023, 57(7): 1393-1401.

Zhuang TIAN,Guan-yan XIAO,Wei-liang JIN,Jin XIA,Xin CHENG. Diffusion model of multi ions in concrete based on composite theory. Journal of ZheJiang University (Engineering Science), 2023, 57(7): 1393-1401.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.07.014    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I7/1393

图 1  溶液中离子扩散系数模型预测结果和试验数据的比较
图 2  不同参数取值时复合材料内部离子扩散系数的变化
图 3  各相扩散系数取值不同时复合材料内离子扩散系数的变化
图 4  混凝土内多离子扩散模型的建模流程图
图 5  氯离子扩散系数测定试验装置的示意图
dr/mm wr/%
4.75 0.35
2.36 8.01
1.18 23.51
0.60 27.81
0.30 28.95
0.15 8.54
剩余 2.83
表 1  骨料级配
图 6  氯离子扩散系数计算值和实验值的对比
方法 公式
文献[13]方法 ${D}_{\mathrm{m} }={D}_{\mathrm{h} }{\left(1-{\varphi }_{\mathrm{l} }\right)}^{3/2}$
文献[14]方法 $ {D}_{\mathrm{m}}={D}_{\mathrm{h}}+\dfrac{{\varphi }_{\mathrm{l}}}{\dfrac{1}{{D}_{\mathrm{l}}-{D}_{\mathrm{h}}}+\dfrac{1-{\varphi }_{\mathrm{l}}}{3{D}_{\mathrm{h}}}} $
文献[15]方法 $ {D}_{\mathrm{m}}={D}_{\mathrm{h}}\mathrm{e}\mathrm{x}\mathrm{p}\left(-\dfrac{1.5{\varphi }_{\mathrm{l}}}{1-{\varphi }_{\mathrm{l}}}\right) $
文献[16]方法 $ \dfrac{{D}_{\mathrm{m}}-{D}_{\mathrm{h}}}{{D}_{\mathrm{m}}+2{D}_{\mathrm{h}}}={\varphi }_{\mathrm{l}}\left(\dfrac{{D}_{\mathrm{l}}-{D}_{\mathrm{h}}}{{D}_{\mathrm{l}}+2{D}_{\mathrm{h}}}\right) $
文献[17]方法 ${D}_{\mathrm{m} }=\left\{\begin{array}{c}\dfrac{ {D}_{\mathrm{h} }{D}_{\mathrm{l} } }{\left(1-{\varphi }_{\mathrm{l} }\right){D}_{\mathrm{l} }+{\varphi }_{\mathrm{l} }{D}_{\mathrm{h} } }\\ {D}_{\mathrm{h} }\left(1-{\varphi }_{\mathrm{l} }\right)+{D}_{\mathrm{l} }{\varphi }_{\mathrm{l} }\end{array}\right.$
文献[18]方法 $ {D}_{\mathrm{c}\mathrm{o}\mathrm{n}}={D}_{\mathrm{c}\mathrm{e}\mathrm{m}}(0.11{\varphi }_{\mathrm{ITZ}}+1-{\varphi }_{\mathrm{A}})\dfrac{2}{2+{\varphi }_{\mathrm{A}}} $
文献[19]方法 $ {D}_{\mathrm{c}\mathrm{o}\mathrm{n}}={D}_{\mathrm{c}\mathrm{e}\mathrm{m}}\left(1+\dfrac{{\varphi }_{\mathrm{A}}}{\dfrac{1-{\varphi }_{\mathrm{A}}}{3}+\dfrac{1}{{2\left({D}_{\mathrm{I}}/{D}_{\mathrm{c}\mathrm{e}\mathrm{m}}\right)}^{\varepsilon }-1}}\right) $
表 2  扩散系数模型的概述
图 7  不同氯离子扩散系数模型的预测值对比
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