A fractal model of effective mechanical properties of porous composites

Chao, Xujiang; Tian, Wenlong; Xu, Feng; Shou, Dahua

doi:10.1016/j.compscitech.2021.108957

Cited by 25 publications

(18 citation statements)

References 32 publications

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“…Kim et al (2020) observed the microstructural characteristics of foam concrete through micro-CT and proved the correlation between its mechanical behavior and microstructure in accordance with the numerical simulation results. Chao et al (2021) proved the self-similarity of the mechanical properties of random porous materials on the basis of fractal theory. Feng et al (2020) studied the damage characteristics of foam concrete under impact loading through SPHB experiments.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on the energy dissipation of foam concrete plate fragmentation under explosion loading

Shang

Huang

et al. 2022

Lat. Am. j. solids struct.

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Fragmentation is the main energy dissipation form of foam concrete under explosion loading. To characterize the energy dissipation of foam concrete fragmentation quantitatively, explosion loading experiments of foam concrete plates under different stand-offs and plate thicknesses were carried out. The statistical characteristics of fragments and the energy dissipation law of foam concrete plate fragmentation were studied using image processing, fracture mechanics theory and fractal theory. An engineering calculation model of fragmentation fractal dimension and energy dissipation density of foam concrete plates were established. Results show that: the fragmentation of foam concrete plates under different explosion conditions is a fractal in the statistical sense. With the increase in stand-off and plate thickness, the fragment size of foam concrete plates increases, and the fragmentation fractal dimension decreases linearly. The linear relationship between the energy dissipation density and the fragmentation fractal dimension of foam concrete are expressed as 0.0165 1.053 f D ω = +.

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Section: Introductionmentioning

confidence: 99%

Experimental study on the energy dissipation of foam concrete plate fragmentation under explosion loading

Shang

Huang

et al. 2022

Lat. Am. j. solids struct.

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“…The physical structure of porous soil presents irregular, discontinuous, and nonhomogeneous characteristics, which derive from the randomness of particle size distributions and pore networks [1][2][3]. For this reason, porous soil is more likely to trigger seepage erosion due to the loss of soil integrity caused by seepage flows, which may bring the risk of potential disaster, such as sinkholes in roads, the collapse of foundation pits, and the breaching of dams [4][5][6][7]. Given the transport of fine particles from pore networks, the problem of seepage erosion in porous soil can be more complex.…”

Section: Introductionmentioning

confidence: 99%

Fractal Characteristics of the Seepage Erosion Process in Porous Soil

Wang

Duan

et al. 2022

Geofluids

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Seepage-induced erosion in porous soil has always been a major concern in the field of geofluids. Various fractal models have been built to theoretically investigate the porosity and permeability coefficient. However, the seepage erosion process (i.e., incubation, formation, evolution, and destruction) in porous soil is not clearly demonstrated to clarify the seepage fractal characteristics. In this paper, a series of hydraulic tests were performed to reveal the mass fractal characteristics of sandy gravels, coarse-grained sands, and fine-grained sands in the seepage erosion process. The results show that the mass fractal dimension was appropriate to describe the cumulative mass distribution of particles, the complexity of pore networks, and the dynamic changes of the seepage erosion process. Moreover, the scale-invariant interval, as an essential precondition for the accurate calculation of the mass fractal dimension, was to some extent affected by the average grain size and the fine content of porous soil. In particular, the changing trend of porosity and permeability coefficient with the mass fractal dimension was demonstrated in the seepage erosion process. Both porosity and permeability coefficients indicated an increasing trend as the development of seepage erosion. However, the mass fractal dimension gradually decreased due to the removal of fine particles induced by seepage flow water. Research findings will not only provide a new perspective on the seepage erosion mechanism but also predict the development of the seepage erosion process in engineering practice.

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“…Analytical thermal conductivity models can study and design the structure‐heat transfer relation in porous composite materials. The reinforcing agent and air‐filled pores are the main features that needs to be considered in analytical thermal conductivity models 16 . Analytical models consider different structural features of composites to predict effective thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

“…The reinforcing agent and air-filled pores are the main features that needs to be considered in analytical thermal conductivity models. 16 Analytical models consider different structural features of composites to predict effective thermal conductivity. The content and type of the reinforcing agent, 17 geometry 18 and distribution of pores 19 are practical structural features of porous materials in predicting their thermal conductivity.…”

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confidence: 99%

Analytical effective thermal conductivity model for colloidal porous composites and nanocomposites based on novolac/graphene oxide aerogels

Nazari

Allahbakhsh

Bahramian

2022

Intl J of Energy Research

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The performance of porous composite materials in thermal energy storage and management applications can be engineered by controlling the relationship between the heat transfer mechanism and the structure of these materials. Analytical thermal conductivity models are essential tools to study and manage such structure/heat transfer relations in porous composite materials. This study develops an analytical thermal conductivity model for porous composites with colloidal matrix morphologies. The model developed here is a modified series-parallel model that considers important structural parameters such as the system's porosity, the colloidal size of the matrix, and the filler's aspect ratio. Moreover, essential effects in the structure of porous composites, including the gas-solid coupling effect and contact length of particles, are also included in the model developed here. In addition, this model can be used in a wide range of porosity and can predict the thermal conductivity of porous composites with appropriate accuracy by changing temperature, pressure, specific surface area, porosity, and other textural properties. Novolac/graphene oxide nanocomposite aerogels with different contents of graphene oxide (GO) nanosheets in the structure were prepared and used to study the validity of the data calculated using the developed model. Our results confirmed that

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A fractal model of effective mechanical properties of porous composites

Cited by 25 publications

References 32 publications

Experimental study on the energy dissipation of foam concrete plate fragmentation under explosion loading

Experimental study on the energy dissipation of foam concrete plate fragmentation under explosion loading

Fractal Characteristics of the Seepage Erosion Process in Porous Soil

Analytical effective thermal conductivity model for colloidal porous composites and nanocomposites based on novolac/graphene oxide aerogels

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