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Investigation and Application of Fractal Theory in Cement-Based Materials: A Review
Fractal and Fractional, 2021 Cement-based materials, including cement and concrete, are the most widely used construction materials in the world. In recent years, the investigation and application of fractal theory in cement-based materials have attracted a large amount of attention
Lei Wang +6 more
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Minkowski Dimension and Explicit Tube Formulas for p-Adic Fractal Strings
Fractal and Fractional, 2018 The theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a p-adic fractal ...
Michel L. Lapidus +2 more
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Periodic orbit theory in fractal drum [PDF]
Physica A: Statistical Mechanics and its Applications, 2005 The level statistics of pseudointegrable fractal drums is studied numerically using periodic orbit theory. We find that the spectral rigidity $\Delta_3(L)$, which is a measure for the correlations between the eigenvalues, decreases to quite small values (
Berry +17 more
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Fractal Theory in Thin Films: Literature Review and Bibliometric Evidence on Applications and Trends
Fractal and Fractional, 2022 A bibliometric analysis of publications on fractal theory and thin films is presented in this article. Bibliographic information is extracted from the Web of Science digital database and the bibliographic mapping undertaken using VOSviewer software ...
Fredrick M. Mwema +2 more
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Materials & Design, 2020 The grain size in TWIP steel had a double fractal distribution, with a uniform diameter threshold of approximately 36 μm. Based on this threshold value, the grains were divided into fine and coarse grain sets. A good linear relationship was found between
Hao Fu +4 more
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Review about the Application of Fractal Theory in the Research of Packaging Materials. [PDF]
Materials (Basel), 2021 Duan Q +6 more
europepmc +2 more sources
Application basis and research progress of fractal theory in mineral processing
Meitan xuebao, 2023 With the exploitation of mineral resources, some problems, such as the difficulty of mineral resources development and the difficulty of mine solid waste treatment, have seriously restricted the green, economic, efficient and sustainable development of ...
Xinran LIU +5 more
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Periodic waves travelling along an unsmooth boundary via the fractal variational theory
Results in Physics, 2021 The solitary waves of the fractal Korteweg-de Vries (KdV) equation travelling along an unsmooth boundary is studied by Ji-Huan He, et al (Results in Physics, 2021, 104104 [1]).
Bo-Rong Zou, Kang-Jia Wang
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Mathematical Model for Effective Gas Diffusion Coefficient in Multi-scale Fractal Porous Media [PDF]
E3S Web of Conferences, 2021 Based on the capillary hypothesis and fractal theory, a mathematical model for calculating the effective gas diffusion coefficient in porous media is established. By using fractal geometry theory, pore area fractal dimension, tortuosity fractal dimension
Zhehua Du
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Fractal Model of Contact Thermal Stiffness
Machines, 2022 The continuity, self-similarity, and self-affinity of a microscopic contact surface can be described by the Weierstrass–Mandelbrot (W–M) function in fractal theory. To address the problems that the existing normal contact load fractal model does not take
Yunshuai Chen +4 more
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