Fractal fatigue crack

The fractal dimension of a micrograph is a quantitative parameter of its geometric patterns' complexity, morphological irregularities and characteristics in their spatial arrangements and configurations. Material defects growing during fatigue process are described in terms of $\it{\,fractals}$fractals. The experimental assessment of fractal dimensions of the novel flaky electron fractographs comprising the 3D planar topography of branched secondary cracks with distinctively oriented striations' islands and tearing ridges' $\it{networks}$networks on the 'fatigue crack propagation area' in three different Zr-Nb alloys have been carried out and correlated with their corresponding low cycle fatigue responses at different temperatures. Image texture analysis has also been implemented to understand the relative 'energy generation' of the hierarchical fatigue crack propagation during $\it{\,fatigue-fracture}$fatigue-fracture process of these materials as a function of test temperature. The detail invasive fractal character and chaos of these crack/striations' islands and tearing ridge $\it{network}$network morphologies after $\it{\,fatigue-fracture}$fatigue-fracture have been convincingly revealed.