Influence Of Deformation On Fractal Dimension Of Deformed Metals Structure
Anatoliy Zavdoveev, Yan Beygelzimer, Victor Varyukhin, Boris Efros

TL;DR
This paper investigates how severe plastic deformation affects the fractal dimension of metal microstructures, revealing an increase in fractal complexity during deformation.
Contribution
It introduces an analysis of fractal dimension changes in metals subjected to severe plastic deformation, providing new insights into microstructural evolution.
Findings
Undeformed metals have a fractal dimension of approximately 1.60.
Severe plastic deformation increases the fractal dimension to about 1.80.
Fractal analysis helps interpret microstructural changes during deformation.
Abstract
The image fractal analysis is actively used in all science branches. In particular in materials science the fractal analysis is applied to study microstructure of deformed metals because its structure can be interpreted as the fractal image. It is well known that such images can be described by fractal dimension. In this paper, the fractal dimension change for different kinds of metals in the processes of severe plastic deformation (SPD) is explored. It is shown that for the undeformed metals the stochastic network of structural elements boundaries has the fractal dimension Db=1.60\pm 0.03. The SPD leads to increasing the fractal dimension up to D=1.80\pm 0.03. Possible reasons of changes in fractal dimension of metals structures in the SPD processes are analyzed.
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Taxonomy
TopicsMineral Processing and Grinding
