On the Similarity of Dynamic Destructive Processes in Metals of Different Geometry under the Effect of External Impacts with Various Amplitude-Time Characteristics

Kosheleva, E. V.; Sel’chenkova, N. I.; Sokolov, S. S.; Trunin, I. R.; Uchaev, A. Ya.

doi:10.1134/s1063778818100083

Cited by 3 publications

(1 citation statement)

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“…The self-similar behavior under a high-strength external impact makes it possible to determine the dimensionless ratio. By using nonlinear physics and fractal theory to quantify the characteristics of dissipative structure, the analogous metal dispersion process can be established; this similarity is caused by its pure non-equilibrium dissipation such as scale invariance [ 51 ]. The above research shows that the property change or failure of metal packaging material can be characterized by its fractal dimension, which could be obtained by box counting dimension, correlation dimension, and Hurst index; material damage has the characteristics of transition from single fractal to MF, which can be quantified by fractal dimension, and MF analysis is a relatively new research direction on the property’s analysis of metal packaging materials.…”

Section: Properties and Fractal Analysis Of Metals And Ceramicsmentioning

confidence: 99%

Review about the Application of Fractal Theory in the Research of Packaging Materials

Duan

Mao

et al. 2021

Materials

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The work is intended to summarize the recent progress in the work of fractal theory in packaging material to provide important insights into applied research on fractal in packaging materials. The fractal analysis methods employed for inorganic materials such as metal alloys and ceramics, polymers, and their composites are reviewed from the aspects of fractal feature extraction and fractal dimension calculation methods. Through the fractal dimension of packaging materials and the fractal in their preparation process, the relationship between the fractal characteristic parameters and the properties of packaging materials is discussed. The fractal analysis method can qualitatively and quantitatively characterize the fractal characteristics, microstructure, and properties of a large number of various types of packaging materials. The method of using fractal theory to probe the preparation and properties of packaging materials is universal; the relationship between the properties of packaging materials and fractal dimension will be a critical trend of fractal theory in the research on properties of packaging materials.

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Section: Properties and Fractal Analysis Of Metals And Ceramicsmentioning

confidence: 99%