A quantitative evaluation of the microstructure of a material requires determining characteristic features of objects, such as: their number, size, volume fraction, shape and distribution method. From among the qualities mentioned, the least systematised problem is the evaluation of a mutual distribution of characteristic objects composing the microstructure. A complex quantification of the mutual distribution of structural components should take into account the concept of inhomogeneity comprising not only the reciprocal arrangement, but also the size and shape of objects forming the microstructure, as well as a multiscale methodology of evaluation.

The paper contains the results of a complex quantification of the inhomogeneity of structural components of materials subject to thermal treatment (Ti-6Al-4V after hydriding and cyclic thermal treatment) and plastic processing (analysis of the microstructure grain orientation after deformation and recrystallisation – EBSD measurement), as well as composite materials and engineering plastic materials characterised by a gradient percolation structure. In the research, a methodology was used based on a multiscale measurement and assessment of the moments of inertia in relation to the measuring field sides, and an analytical description based on the Hurst correlation, adequate to the measuring technique.  The method applied enables quantifying the inhomogeneity of distribution, i.e. determining the span of local and global scales for each structure type, including percolation structures. Owing to the standardisation procedure applied, it also allows comparing the investigation results, regardless of the size of the sets analysed.

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1. COMPUTATIONAL IMAGE ANALYSIS OF MATERIALS MICROSTRUCTURE