混合微分变换法在混凝土溶质运移问题中的应用

doi:10.11908/j.issn.0253-374x.2016.05.007

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混合微分变换法在混凝土溶质运移问题中的应用
DOI:
                        10.11908/j.issn.0253-374x.2016.05.007
                    
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作者:
                        钟新然钟新然
同济大学 航空航天与力学学院，上海 200092
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戴瑛戴瑛
同济大学 航空航天与力学学院，上海 200092
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陈熹陈熹
同济大学 航空航天与力学学院，上海 200092
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作者单位:同济大学航空航天与力学学院,同济大学航空航天与力学学院,同济大学航空航天与力学学院
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中图分类号:TU37
基金项目:国家“九七三”重点基础研究发展计划（2011CB13800）

Application of Hybrid DTM and FDM in Solute Transport Problem of Concrete

Author:

ZHONG Xinran
ZHONG Xinran
College of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092， China
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DAI Ying
DAI Ying
College of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092， China
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CHEN Xi
CHEN Xi
College of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092， China
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摘要:

微分变换法是一种基于泰勒公式的求解方法，在求解包含间断条件的溶质运移偏微分方程（组）时会失效.采用将有限差分法与微分变换法相结合的求解思路，可使问题得到解决.利用该方法得到混凝土SO42-的反应性溶质运移方程以及CO2SO42-和CO2Cl-的全耦合溶质运移方程组的近似解表达式并将结果与有限元结果进行比较，证明了该方法的有效性.

关键词:混凝土; 溶质运移; 微分变换法; 有限差分法

Abstract:

The differential transform method (DTM) ceases to be effective when solving the solute transport equation with discontinuous condition. In order to solve this problem, hybrid DTM and finite difference method(FDM) were adopted to solve the solute transport equation of SO42-, coupled CO2 SO42- and coupled CO2Cl- of concrete, and the approximate solutions were obtained. The comparison of the results with those obtained by FEM shows that the proposed method is effective to obtain the approximate solution of solute transport problem.

Key words:concrete; solute transport; finite difference method(FDM); differential transform method(DTM)

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钟新然,戴瑛,陈熹.混合微分变换法在混凝土溶质运移问题中的应用[J].同济大学学报(自然科学版),2016,44(5):0703~0708

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收稿日期:2015-06-15
最后修改日期:2016-03-16
录用日期:2016-03-02
在线发布日期: 2016-06-02
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