Fractal Analysis and Time Series Application in ZY-4 SEM Micro Fractographies Evaluation
Maria-Alexandra Pãun, Vladimir‐Alexandru Paun, Viorel‐Puiu Paun
Abstract
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Maria-Alexandra Pãun, Vladimir‐Alexandru Paun, Viorel‐Puiu Paun
Abstract
Open-access reader
SEM microfractographies of Zircaloy-4 are studied by fractal analysis and the time-series method. We first develop a computer application that associates the fractal dimension and lacunarity to each SEM micrograph picture, and produce a nonlinear analysis of the data acquired from the quantitatively evaluated time series. Utilizing the phase space-embedding technique to reconstruct the attractor and to compute the autocorrelation dimension, the fracture surface of the Zircaloy-4 samples is investigated. The fractal analysis method manages to highlight damage complications and provide a description of morphological parameters of various fractures by calculating the fractal dimension and lacunarity.
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SEM microfractographies of Zircaloy-4 are studied by fractal analysis and the time-series method. We first develop a computer application that associates the fractal dimension and lacunarity to each SEM micrograph picture, and produce a nonlinear analysis of the data acquired from the quantitatively evaluated time series. Utilizing the phase space-embedding technique to reconstruct the attractor and to compute the autocorrelation dimension, the fracture surface of the Zircaloy-4 samples is investigated. The fractal analysis method manages to highlight damage complications and provide a description of morphological parameters of various fractures by calculating the fractal dimension and lacunarity.
Key concepts: Lacunarity, Fractal dimension, Fractal dimension on networks, Fractal, Fractal analysis, Box counting, Autocorrelation, Series (stratigraphy)