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On contrast to the qualitative approach used in the majority of researches, an evaluation quantitative approach is introduced not only to depict the plain individual effect of the influence of the high-pressure torsion (HPT) processing conditions on the microstructural and Hv-values of the ultra-hard nanostructured AA6061-15%SiCp composite but also to detect its possible parameters functional interaction and nonlinear trends involved. Experimental data were used to establish many adequate and significant empirical models to detect and to evaluate the mutual functional interrelationships between the Hv-values of the composite, each of HPT processing pressure, and number of revolutions. For each group of interrelated parameters, the preferred selected developed model has been exploited to generate the relevant contours and response surface graphs. On one hand, it is shown that HPT processing can be …