The Evaluation of Electrical Impedance of Three-Dimensional Fractal Networks Embedded in a Cube

Tang, Shengwen; Wang, L.; Cai, Rongjin; Cai, Xinhua; Zhu, He; Chen, E.

doi:10.1142/s0218348x17400059

Cited by 8 publications

(4 citation statements)

References 46 publications

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“…The pore structures of concrete are complex, which are be investigated in terms of fractal theory [15,51,55,[57][58][59][60][61][62][63][64][65][66]. Fractal theory is a new method of mathematics, resolving the irregularities in nature [67][68][69][70].…”

Section: Fractal Dimension Calculationmentioning

confidence: 99%

Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis

Wang

Liu

et al. 2022

Fractal Fract

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Currently, low heat Portland (LHP) cement is widely used in mass concrete structures. The magnesia expansion agent (MgO) can be adopted to reduce the shrinkage of conventional Portland cement-based materials, but very few studies can be found that investigate the influence of MgO on the properties of LHP cement-based materials. In this study, the influences of two types of MgO on the hydration, as well as the shrinkage behavior of LHP cement-based materials, were studied via pore structural and fractal analysis. The results indicate: (1) The addition of reactive MgO (with a reactivity of 50 s and shortened as M50 thereafter) not only extends the induction stage of LHP cement by about 1–2 h, but also slightly increases the hydration heat. In contrast, the addition of weak reactive MgO (with a reactivity of 300 s and shortened as M300 thereafter) could not prolong the induction stage of LHP cement. (2) The addition of 4 wt.%–8 wt.% MgO (by weight of binder) lowers the mechanical property of LHP concrete. Higher dosages of MgO and stronger reactivity lead to a larger reduction in mechanical properties at all of the hydration times studied. M300 favors the strength improvement of LHP concrete at later ages. (3) M50 effectively compensates the shrinkage of LHP concrete at a much earlier time than M300, whereas M300 compensates the long-term shrinkage more effectively than M50. Thus, M300 with an optimal dosage of 8 wt.% is suggested to be applied in mass LHP concrete structures. (4) The addition of M50 obviously refines the pore structures of LHP concrete at 7 days, whereas M300 starts to refine the pore structure at around 60 days. At 360 days, the concretes containing M300 exhibits much finer pore structures than those containing M50. (5) Fractal dimension is closely correlated with the pore structure of LHP concrete. Both pore structure and fractal dimension exhibit weak (or no) correlations with shrinkage of LHP concrete.

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Section: Fractal Dimension Calculationmentioning

confidence: 99%

Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis

Wang

Liu

et al. 2022

Fractal Fract

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“…There is a consensus that the mechanical and durability properties of concrete are closely related with its pore structure such as the porosity and the pore size distribution [26][27][28] . It has been suggested that the pore structure of concrete presents fractal characteristics within certain scales 24,26,29,30 . Fractal dimension, which is an index derives from the fractal theory, is progressively employed to characterize the complexity and irregularity(pore size distribution) of the pore structure and macroproperties of concrete 25,27,29,31 .…”

Section: Introductionmentioning

confidence: 99%

Pore Structural and Fractal Analysis of the Influence of Fly Ash and Silica Fume on the Mechanical Property and Abrasion Resistance of Concrete

et al. 2021

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Dam concrete suffers from serious abrasion damages in southwestern China, the abrasion resistance of concrete is therefore one of the most important factors determining the reliability even the safety of the dams. In the present work, the effects of fly and/or silica fume on the mechanical properties, drying shrinkage, as well the cracking and abrasion resistance of concrete were investigated, then the pore structures of concrete added with fly ash and silica fume and the pore surface fractal dimensions (Ds) were determined by the mercury intrusion porosimetry (MIP) method and a fractal model, respectively. Finally, the relationships between the abrasion resistance of concrete and the porosity as well as the Ds were revealed and discussed. The results indicate that silica fume significantly increases the drying shrinkage especially at early age, while the incorporation of fly ash and silica fume together can decease the early plastic shrinkage-induced cracking risk and the final shrinkage to some degrees. Besides, the utilization of 5 wt% silica fume and 20 wt% fly ash together increases the abrasion resistance and mechanical property by about 4-9 % at various ages. In addition, the compressive strength and the abrasion resistance of concrete are linearly correlated with the concrete porosity and the Ds. Both the fly ash and silica fume could decrease the porosity of concrete and increase the Ds, therefore the concrete containing fly ash

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“…Numerous studies have shown that cementitious materials have a complex spatial structure and uneven pore distribution [58][59][60][61], The pore distribution and total porosity of the samples with different mixing ratios were tested by MIP at 28 d, and the results are shown in Figure 8. According to the results of academician Zhongwei Wu, all pores are classified into four types: pores with diameters less than 20 nm are considered to be harmless pores, produced by gel pores with a C-S-H interlayer structure [62][63][64][65]: less hazardous pores (d = 20~100 nm); more hazardous pores (d = 100~200 nm); and more hazardous pores, with diameters more than 200 nm.…”

Section: Mercury Impression Test (Mip)mentioning

confidence: 99%

Experimental Study on the Properties and Hydration Mechanism of Gypsum-Based Composite Cementitious Materials

Liu,

Song,

et al. 2024

Buildings

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In order to achieve the resourceful, large-scale and high-value utilization of bulk industrial solid wastes such as flue gas desulfurization gypsum (FGDG), fly ash (FA) and ground blast furnace slag (GGBS), and to reduce the dosage of cementitious materials, orthogonal experimental methods were used to prepare composite cementitious materials based on the principle of synergistic coupling and reconstruction of multi-solid wastes. Through the method of extreme difference and ANOVA, the influence law of different factor levels on the performance of the cementitious materials was studied, and the maximum compressive strength of cementitious materials was reached when the ordinary Portland cement (OPC) dosage was 20%, the FGDG dosage was 56%, the FA dosage was 19.2% and the slag dosage was 4.8%, and the W/B was 0.55. The hydration products and microscopic morphology of the cementitious materials were analyzed by means of XRD, SEM and MIP techniques, so as to elucidate the complex synergistic hydration mechanism, and then to determine the more optimal group distribution ratio. The results show that the hydration reaction between FGDG and OPC can be synergistic with each other, and C-A-H further generates AFt under the action of SO42−, and at the same time, it plays the role of alkali-salt joint excitation for FA–GGBS, generates a large amount of cementitious materials, fills up the pores of the gypsum crystal structure, and forms a dense microstructure.

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The Evaluation of Electrical Impedance of Three-Dimensional Fractal Networks Embedded in a Cube

Cited by 8 publications

References 46 publications

Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis

Influence of MgO on the Hydration and Shrinkage Behavior of Low Heat Portland Cement-Based Materials via Pore Structural and Fractal Analysis

Pore Structural and Fractal Analysis of the Influence of Fly Ash and Silica Fume on the Mechanical Property and Abrasion Resistance of Concrete

Experimental Study on the Properties and Hydration Mechanism of Gypsum-Based Composite Cementitious Materials

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