The Correlation between Pore Structure and Macro Durability Performance of Road Concrete under Loading and Freeze-Thaw and Drying-Wetting Cycles by Sheng-bo Zhou, Jun-lin Liang, Wei-an Xuan, Ye Qiu

“…A negative correlation is shown between strength and fractal dimension and most probable pore size. Conversely, a positive correlation is shown between strength, porosity, and less harmful pore. …”
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MUSEUM TARI DI MAKASSAR DENGAN PENDEKATAN EKSPOSE STRUKTUR PADA FASAD BANGUNAN DAN PENERAPAN TEORI FRAKTAL by Taufik Arfan, Wahyuni Jaharuddin

“…This report is the result of designing the museum building in Makassar dance with exposure approach to the structure of the building facade and application of fractal theory adapted to the standards and needs of the space.…”
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Human development I: Twenty Fundamental Problems of Biology, Medicine, and Neuro-Psychology Related to Biological Information by Tyge Dahl Hermansen, Søren Ventegodt, Erik Rald, Birgitte Clausen, Maj Lyck Nielsen, Joav Merrick

“…The problems discussed are interpreted within the frames of a universe of roomy fractal structures containing energetic patterns that are able to deliver biological information. …”
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Different influences of Mo and Mo2C additions on microstructure and properties of TiC-based cermets by Xiao-Dong Kang, Guo-Hua Zhang, Kuo-Chih Chou

“…The complexity of fracture morphology was quantified via the fractal dimension. Sintered samples with simpler fracture morphologies had smaller fractal dimensions, whereas those with more intricate surface features exhibited larger fractal dimensions, reflecting complex fracture mechanisms and higher TRS.…”
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Study of Simulation Test in Inclusion Rockburst by Zhidong Wang, Liyun Li, Bingquan Liu, Chuang Han, Tianxiang Lan

“…The inclusions have cementation, and the better the cementation, the greater the stress loading required in the failure, the greater the energy accumulated, the more severe the failure, and the higher the fractal dimension of the fragments. The larger the angle of the inclusion tip, the greater the stress loading in failure; the greater the change of the u and v displacements, the more the displacement of the inclusions changed; and the more the energy accumulated, the higher the fractal dimension of the fragment. …”
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Regulation Mechanism of Spatial Capacity of Tourist Resources in Scenic Spots Based on Internet of Things Technology by Xiaona Xie, Wenliang Zhang

“…Based on the Internet of Things technology, the spatial capacity control platform of tourist resources in scenic spots built in this paper can realize the structure analysis of peak forest of tourist flow in scenic spots and the fractal and fractal dimension analysis of tourist flow and determine the spatial and temporal threshold of tourist flow control in tourist destinations. …”
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Underwater Acoustic Image Encoding Based on Interest Region and Correlation Coefficient by Liu Lixin, Guo Feng, Wu Jinqiu

“…It is difficult for the conventional image compression method to achieve good compression effect in the underwater acoustic image (UWAI), because the UWAI has large amount of noise and low correlation between pixel points. In this paper, fractal coding is introduced into UWAI compression, and a fractal coding algorithm based on interest region is proposed according to the importance of different regions in the image. …”
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Characterization of Composite RFID Antennas Based on Thermal Properties: A Survey by Chitra Varadhan, Fekadu Ashine Chamatu, S. Arulselvi

“…The effect of the polymer matrix composite (PMC) material on the antenna parameters such as gain, bandwidth, and return loss is analyzed and realized that improvement in bandwidth and perfection in impedance matching can be further accomplished by employing fractal structure. It is also discovered that the thermal properties affect the impedance and operating frequencies, thus enabling multilayer PMC deploying fractal structured RFID antennas to be used for many applications such as logistics, aerospace, biomedical, and mining.…”
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Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions by Bashir Ahmad, Juan J. Nieto

“…In order to overcome this problem and describe dynamical processes in a fractal medium, numerous generalizations of Langevin equation have been proposed. …”
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Laboratory and Centrifuge Model Tests on Influence of Swelling Rock with Drying-Wetting Cycles on Stability of Canal Slope by Chen Zhang, Zheng-yin Cai, Ying-hao Huang, Hao Chen

“…By using image-processing technique, the crack patterns were described, and then quantitatively analyzed on the basis of the fractal dimension. The experimental data indicated that swelling ability, including cracking level, fractal dimension, and strength, decrease with increasing drying and wetting cycle. …”
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Complexity: a new paradigm for fracture mechanics by A. Carpinteri, S. Puzzi

“…In fact, under the label of Complexity Sciences we comprehend a large variety of approaches: nonlinear dynamics, deterministic chaos theory, nonequilibrium thermodynamics, fractal geometry, intermediate asymptotics, complete and incomplete similarity, renormalization group theory, catastrophe theory, self-organized criticality, neural networks, cellular automata, fuzzy logic, etc. …”
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Strain Rate Dependent Ductile-to-Brittle Transition of Graphite Platelet Reinforced Vinyl Ester Nanocomposites by Brahmananda Pramanik, P. Raju Mantena

“…In previous research, the fractal dimensions of fractured surfaces of vinyl ester based nanocomposites were estimated applying classical method on 3D digital microscopic images. …”
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Comparison of Methods for Determining Catchment Area Threshold for Water System Extraction by ZHENG Jiawei, CHEN Xingwei, LI Xiaocheng, RUAN Weifang

“…Most of the methods using digital elevation models (DEM) to extract water systems require the determination of catchment area thresholds.For a better understanding of the rationality and applicability of several commonly used determination methods of the catchment area threshold for water system extraction,the distance error between the real river source and the extracted one is used as a criterion to determine the rationality of the real water system extraction methods.Four main methods,namely,the drainage density method,the water-system fractal dimension method,the method of the minimum error at the river source,and the channel branching ratio method,are selected,and the Jinjiang River Basin on the southeast coast is taken as an example.The distance errors between the extracted river sources by different methods and the real river sources are compared.The results show that the visual discrimination of the catchment area threshold used by the drainage density method,water-system fractal dimension method,and channel branching ratio method has a large uncertainty,and the distance errors are large.In the method of the minimum error at the river source,the catchment area threshold is determined according to the minimum distance error between the extracted river source and the real one,which is unique.Hence,it is a more reasonable method among the four DEM-based real water system extraction methods.…”
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Application of Vibration Signals for the Quantitative Analysis of the Optimal Threshold of Bearing Failure by YaoChi Tang, Kuohao Li

“…First, the time-domain signal of vibration was calculated through generalized fractal dimensions, and the relationship diagram of generalized fractal dimensions and time was obtained. …”
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Field evidence of flocculated sediments on a coastal algal reef by Zhi-Cheng Huang, Tian-Jian Hsu, Trung Nguyen Ly

“…Direct estimates of particle effective density show a dependence on mean particle diameter, with a fractal dimension of 2.18. The reduced effective density (or settling velocity) and low fractal dimension are typical of flocs containing lower-density saltwater and organic materials. …”
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Construção de fractais usando o software GeoGebra by Teresinha Aparecida Faccio Padilha, Maria Madalena Dullius, Marli Teresinha Quartieri

“…De acordo com as análises feitas e tendo por base as respostas do questionário, a produção dos alunos e as observações registradas durante o desenvolvimento da intervenção pedagógica ficou evidenciado que: o trabalho contribuiu na obtenção de uma forma motivadora, interativa e viável da abordagem da Geometria Fractal; o software GeoGebra foi importante ferramenta de apoio na construção dos fractais; a Geometria Fractal é uma possibilidade interessante de associar a geometria e a álgebra numa proposta diferenciada de forma a contemplar as duas áreas de conhecimento. …”
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Shale Heterogeneity in Western Hunan and Hubei: A Case Study from the Lower Silurian Longmaxi Formation in Well Laidi 1 in the Laifeng-Xianfeng Block, Hubei Province by Peng Zhang, Junwei Yang, Yuqi Huang, Jinchuan Zhang, Xuan Tang, Chengwei Liu

“…Based on the Frenkel-Halsey-Hill (FHH) model, the pore fractal dimension is studied to obtain the fractal dimension D1 (2.73-2.76, mean 2.74) under low relative pressure (P/P0≤0.5) and D2 (2.80-2.89, mean 2.85) under high relative pressure (P/P0>0.5). …”
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Investigation on the Creep Failure Mechanism of Sandy Mudstone Based on Micromesoscopic Mechanics by Xinshuai Shi, Hongwen Jing, Weiqiang Chen, Yuan Gao, Zhenlong Zhao

“…It was also found by the fractal analysis of the SEM microscopic images that the fractal dimensions of the creep failure specimens were larger than those of the uniaxial compression failure, indicating that the creep damage increased the irregularity and a larger degree of roughness fluctuation. …”
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A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments by N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi

“…The Ψ-nonstandard finite difference method is designed to solve fractal fractional order, fractional order, and variable order mathematical models. …”
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Further Analysis of Non-Gaussian Wind Pressure Peak Factor Calculation by Tao Ye, Ledong Zhu, Zhongxu Tan, Lanlan Li

“…Based on the basic theory of fractal, the R/S analysis of wind pressure time series is made, and the fractal characteristics of wind pressure coefficient time series are explained. …”
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