基于分形理论的泡沫混凝土强度研究  

Strength of Foamed Concrete Based on Fractal Theory

作　　者：周明杰[1] 孟雅[1] 田川[2] 孟博[1] 

机构地区：[1]河北工业大学,天津300401 [2]北京建筑大学,北京100044

出　　处：《建筑节能》2014年第10期46-48,共3页BUILDING ENERGY EFFICIENCY

摘　　要：利用分形理论对泡沫混凝土的微观结构进行了深入分析,通过MATLAB语言编写程序,对泡沫混凝土的微观结构图片进行了分形维数的计算,分析了粉煤灰掺量不同时,泡沫混凝土的分形特征。通过设计抗压强度试验,研究粉煤灰掺量对泡沫混凝土28d抗压强度的影响,并建立数学回归方程,将分形维数与泡沫混凝土的抗压强度联系起来,对理论值与实测值进行对比研究。分析结果表明：泡沫混凝土的分形维数在1.4～1.9之间;随着粉煤灰掺量的增大,分形维数加大,28d抗压强度减小;28d抗压强度的计算值与实测值较为接近,相对误差最大为1.76%,证明了拟合公式的可靠性。Microstructure of foamed concrete is analyzed by the fractal theory, and fractal dimensions of microstructure figures of foamed concrete are calculated by MATLAB software. Then the fractal characteristics of foamed concrete with different content of fly ash are analyzed. The effects of fly ash content on the 28 d compressive strength of foamed concrete were studied by compression test. According to measured values, the relationship between compressive strength and fractal dimension is fitted by establishing mathematical regression equation. Then differences between theoretical values and measured one are researched by contrastive analysis. The results show the fractal dimension varies from 1.4 to 1.9. With the increasing of fly ash, the fractal dimension also increases, and the compressive strength of 28 days decreases. The theoretical values approximate the measured values and the largest relative error between them is 1.76%,which proves the responsibility of the equation.

关 键 词：泡沫混凝土 抗压强度 分形理论 分形维数 

分 类 号：TU528.2[建筑科学—建筑技术科学]