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Influence Of Deformation On Fractal Dimension Of Deformed Metals\n Structure

2012/04/28 by Anatoliy Zavdoveev, Yan Beygelzimer, Zavdoveev, Anatoliy +5
Engineering · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mineral Processing and Grinding

paper · pdf · doi:10.48550/arxiv.1204.6398

openalex publication_date 2012/04/28 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

The image fractal analysis is actively used in all science branches. In\nparticular in materials science the fractal analysis is applied to study\nmicrostructure of deformed metals because its structure can be interpreted as\nthe fractal image. It is well known that such images can be described by\nfractal dimension. In this paper, the fractal dimension change for different\nkinds of metals in the processes of severe plastic deformation (SPD) is\nexplored. It is shown that for the undeformed metals the stochastic network of\nstructural elements boundaries has the fractal dimension Db=1.60\± 0.03. The\nSPD leads to increasing the fractal dimension up to D=1.80\± 0.03. Possible\nreasons of changes in fractal dimension of metals structures in the SPD\nprocesses are analyzed.\n

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