苏州混凝土水泥制品研究院有限公司

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基于分形理论的水泥砂浆强度预测模型
The Strength Prediction Model of Cement Mortar Based on Fractal Theory
2020年第6期
水泥砂浆;强度;预测模型;孔隙量;孔径分布;分形维数
Cement mortar; Strength; Prediction model; Porosity; Pore size distribution; Fractal dimension
2020年第6期
10.19761/j.1000-4637.2020.06.001.06
国家自然科学基金项目(51808027);北京建筑大学科学研究基金项目(ZF14039);市属高校基本科研业务费项目(X18117)。
金珊珊1,2,杨金龙1,2,索 智1,2,杨柯南1,2
1.北京建筑大学 土木与交通工程学院,100044;2.北京未来城市设计高精尖创新中心,100044

金珊珊1,2,杨金龙1,2,索 智1,2,杨柯南1,2

金珊珊,杨金龙,索智,等.基于分形理论的水泥砂浆强度预测模型[J].混凝土与水泥制品,2020(6):1-5,12.

JIN S S,YANG J L,SUO Z,et al.The Strength Prediction Model of Cement Mortar Based on Fractal Theory[J].China Concrete and Cement Products,2020(6):1-5,12.

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摘 要:测试了多组配合比砂浆不同龄期的强度及孔隙结构,引入基于热力学关系的分形模型计算得到了砂浆的孔表面积分形维数。利用统计学方法,探讨了孔隙量参数和孔径分布参数与砂浆抗压强度的定量关系,建立了同时考虑孔隙量和孔径分布的强度预测模型,采用该模型对多组配合比混凝土的抗压强度进行预测。结果表明,预测强度接近室内试验实测强度。Abstract:Thestrengthandporestructureofcementmortarwithdifferentproportionsatdifferentagesweremeasured.Thefractalmodelbasedonthethermodynamicrelationshipwasintroducedtocalculatetheporesurfacefractaldimensionofthecementmortar,whichcouldbeusedasoneofthecharacteristicparametersoftheporesizedistribution.Thequantitativerelationshipsbetweenthecompressivestrengthandtheporevolumeparametersandtheporesizedistributionparameterswerediscussedbystatisticalmethod.Thestrengthpredictionmodelwithconsiderationofbothporevolumeandporesizedistributionwaspresented.Thestrengthofconcretewithdifferentproportionswascalculatedbythestrengthpredictionmodel.Theresultsshowthecalculationstrengthapproachestothetestedstrength.Thestrengthpredictionmodelproposedinthisresearchcanbeappliedintheassessmentofthematerialstrengthofexistingconcretestructure.
英文名 : The Strength Prediction Model of Cement Mortar Based on Fractal Theory
刊期 : 2020年第6期
关键词 : 水泥砂浆;强度;预测模型;孔隙量;孔径分布;分形维数
Key words : Cement mortar; Strength; Prediction model; Porosity; Pore size distribution; Fractal dimension
刊期 : 2020年第6期
DOI : 10.19761/j.1000-4637.2020.06.001.06
文章编号 :
基金项目 : 国家自然科学基金项目(51808027);北京建筑大学科学研究基金项目(ZF14039);市属高校基本科研业务费项目(X18117)。
作者 : 金珊珊1,2,杨金龙1,2,索 智1,2,杨柯南1,2
单位 : 1.北京建筑大学 土木与交通工程学院,100044;2.北京未来城市设计高精尖创新中心,100044

金珊珊1,2,杨金龙1,2,索 智1,2,杨柯南1,2

金珊珊,杨金龙,索智,等.基于分形理论的水泥砂浆强度预测模型[J].混凝土与水泥制品,2020(6):1-5,12.

JIN S S,YANG J L,SUO Z,et al.The Strength Prediction Model of Cement Mortar Based on Fractal Theory[J].China Concrete and Cement Products,2020(6):1-5,12.

摘要
参数
结论
参考文献
引用本文

摘  要:测试了多组配合比砂浆不同龄期的强度及孔隙结构,引入基于热力学关系的分形模型计算得到了砂浆的孔表面积分形维数。利用统计学方法,探讨了孔隙量参数和孔径分布参数与砂浆抗压强度的定量关系,建立了同时考虑孔隙量和孔径分布的强度预测模型,采用该模型对多组配合比混凝土的抗压强度进行预测。结果表明,预测强度接近室内试验实测强度。

Abstract: The strength and pore structure of cement mortar with different proportions at different ages were measured. The fractal model based on the thermodynamic relationship was introduced to calculate the pore surface fractal dimension of the cement mortar, which could be used as one of the characteristic parameters of the pore size distribution. The quantitative relationships between the compressive strength and the pore volume parameters and the pore size distribution parameters were discussed by statistical method. The strength prediction model with consideration of both pore volume and pore size distribution was presented. The strength of concrete with different proportions was calculated by the strength prediction model. The results show the calculation strength approaches to the tested strength. The strength prediction model proposed in this research can be applied in the assessment of the material strength of existing concrete structure.

关键词:
水泥砂浆;强度;预测模型;孔隙量;孔径分布;分形维数
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(1)砂浆孔隙结构具有明显的分形特征,基于热力学的分形模型计算的孔表面积分形维数 能够可靠地反映砂浆孔隙结构的复杂程度,且与砂浆强度和其它孔径分布参数均具有良好的相关性,因此,可作为孔径分布的代表参数。
(2)孔隙量参数中,砂浆强度与毛细孔孔隙量和凝胶孔孔隙量相关性最高,其次是孔隙率和大孔孔隙量,最差的是过渡孔孔隙量,几乎不相关;同时相关性分析显示,毛细孔孔隙量与孔隙率、大孔孔隙量和凝胶孔孔隙量均具有较高的相关性,可作为孔隙量的代表参数。
(3)基于统计学方法,以孔表面积分形维数和毛细孔孔隙量为自变量,以砂浆的抗压强度为因变量,建立了同时考虑孔隙量和孔径分布的砂浆强度预测模型,该模型具有较高的相关系数及较小的残差标准差。
(4)本研究提出的砂浆强度预测模型的计算强度接近室内混凝土强度实测结果,二者具有较高的相关性。研究提出的模型在一定程度上可以反映混凝土的抗压强度。在后期研究中将在该模型基础上考虑界面强度,以完善该模型。完善后的模型可用于混凝土结构强度的预测,实现对混凝土结构物的无损后评估,为混凝土结构物进行维修养护提供基础依据。
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金珊珊,杨金龙,索智,.基于分形理论的水泥砂浆强度预测模型[J].混凝土与水泥制品,2020(6):1-5,12.

JIN S S,YANG J L,SUO Z,et al.The Strength Prediction Model of Cement Mortar Based on Fractal Theory[J].China Concrete and Cement Products,2020(6):1-5,12.

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