Fractal dimension of concrete incorporating silica fume and its correlations to pore structure, strength and permeability

Lü, Qing; Qiu, Qingli; Zheng, Jun; Wang, Jing; Zeng, Qiang

doi:10.1016/j.conbuildmat.2019.116986

Cited by 170 publications

(45 citation statements)

References 106 publications

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“…Hu [28] studied and analyzed the relationship among the pore structure, fractal dimension and strength of the stone silt tailings backfill. Qing [29] analyzed the relationship among pore fractal dimension, compressive strength and permeability of wollastonite concrete by mercury pressing test and electron microscope scanning test. Zhang [30] carried out the mercury pressing test and X-ray diffraction test on compacted concrete materials and discussed the microstructure and fractal characteristics.…”

Section: Introductionmentioning

confidence: 99%

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Deng

Tian

et al. 2020

Applied Sciences

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Micro-pore structure has a decisive effect on the physical and mechanical properties of porous materials. To further improve the composition of rock-like materials, the internal relationship between microscopic characteristics (porosity, pore size distribution) and macroscopic mechanical properties of materials needs to be studied. This study selects portland cement, quartz sand, silica fume, and water-reducing agent as raw materials to simulate sandstone. Based on the Nuclear magnetic resonance (NMR) theory and fractal theory, the study explores the internal relationship between pore structure and mechanical properties of sandstone-like materials, building a compressive strength prediction model by adopting the proportion of macropores and the dimension of macropore pore size as dependent variables. Test results show that internal pores of the material are mainly macropores, and micropores account for the least. The aperture fractal dimension, the correlation coefficient of mesopores and macropores are quite different from those of micropores. Fractal characteristics of mesopores and macropores are obvious. The macropore pore volume ratio has a good linear correlation with fractal dimension and strength, and it has a higher correlation coefficient with pore volume ratio, pore fractal dimension and other variable factors. The compressive strength increases with the growth of pore size fractal dimension, but decreases with the growth of macropore pore volume ratio. The strength prediction model has a high correlation coefficient, credibility and prediction accuracy, and the predicted strength is basically close to the measured strength.

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Section: Introductionmentioning

confidence: 99%

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Deng

Tian

et al. 2020

Applied Sciences

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“…Fractal dimension is a parameter characterizing the complexity of the fractal body. Common dimension expressions include Hausdorff dimension [29], Box dimension [30], Similarity dimension [31], Correlation dimension [32], and Spectral dimension [33], etc. In 1994, Lange and Jennings [34] combined fractal theory with image analysis technology to study the pore structure of concrete and realized the combination of fractal theory and image analysis technology for the first time.…”

Section: Calculation Of Microstructure Fractal Dimensionmentioning

confidence: 99%

Study on the Pore and Microstructure Fractal Characteristics of Alkali-Activated Coal Gangue-Slag Mortars

Sun

et al. 2020

Materials

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Just as it is regarding ordinary cement-based materials, the pore structure and microstructure of alkali-activated materials are disordered. It is essential to predict the macroscopic properties by studying the pore and microstructure fractal characteristics of materials. In this paper, the effects of slag content and alkali activator modulus on compressive strength, porosity, and microstructure of alkali-activated coal gangue-slag (AACGS) mortar were studied. Further, with the help of mercury intrusion porosimetry (MIP) data and the MATLAB programming, the pore and SEM photos fractal dimensions of AACGS mortar specimens were obtained, respectively, and the relationship between the microscopic fractal dimensions and the macroscopic strength and the structural characteristics of pores was established. The results show that the pore fractal dimension has a good linear relationship with the compressive strength and pore characteristic parameters (porosity, total pore area, and average pore diameter, etc.). With the increase of slag content, the SEM photos fractal dimension of AACGS mortar specimens increases, and the fractal dimension and compressive strength also show a significant positive linear relationship. The two fractal characterization methods can be used in the alkali-activated material system and have important guiding significance for predicting the macroscopic strength and pore characteristic parameters of the material.

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“…Then, the fractal theory, which provided a general framework for the study of the irregular and random sets, has been introduced in the domain of concrete to quantify the geometric of concrete in the meso level [15][16][17]. The fractal dimension of porous structure [18,19], fracture surface [20], and specific component [21], etc., could be calculated. The employment of the fractal dimension was effective to study the correlation between the geometric and the mechanical parameters.…”

Section: Introductionmentioning

confidence: 99%

Effect of Fractal Dimension in Concrete Meso-Structure on Its Axial Mechanical Behavior: A Numerical Case Study

Dai

et al. 2021

Fractals

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The numerical meso-modeling method is a powerful tool for simulating concrete and studying the influence of the geometric form of meso-structure on its mechanical behavior. It is still uncertain regarding how to most effectively characterize the geometric form of the concrete meso-structure and its effect on the observed macro behavior. In this study, the fractal dimension of cement paste was used to describe the geometric form of concrete at the meso-level. A group of meso-models of concrete with various fractal dimensions and coarse aggregate contents were simulated using the Random Fractal Modeling method, and the numerical results under compression and tension were studied and discussed. The simulation results suggested that the compressive initial modulus, the compressive strength decreased, the strain corresponding to the maximum compressive stress decreased with increasing fractal dimension. However, the fractal dimension did not influence the tensile initial modulus, the tensile strength, and the strain corresponding to the maximum tensile stress obviously. The comprehensive consideration of the fractal characterize can provide a reasonable tool for understanding and predicting the observed macroscopic behavior of concrete.

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Fractal dimension of concrete incorporating silica fume and its correlations to pore structure, strength and permeability

Cited by 170 publications

References 106 publications

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Study on the Pore and Microstructure Fractal Characteristics of Alkali-Activated Coal Gangue-Slag Mortars

Effect of Fractal Dimension in Concrete Meso-Structure on Its Axial Mechanical Behavior: A Numerical Case Study

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