Paun, Maria-AlexandraPaun, Vladimir-AlexandruPaun, Viorel-Puiu2022-09-122022-09-122022-09-122022-08-0110.3390/fractalfract6080458https://infoscience.epfl.ch/handle/20.500.14299/190726WOS:000845959200001SEM 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.Mathematics, Interdisciplinary ApplicationsMathematicsfractal dimensionlacunaritytime seriesphase spaceattractorcorrelation dimensionzircaloy-4dimensionalloyscreeptext::journal::journal article::research article