Non-Extensive Statistical Mechanics in Acoustic Emissions: Detection of Upcoming Fracture in Rock Materials

Acoustic emission (AE), recorded during uniaxial compressive loading with constantly increasing stress and stepped increments until the fracture of prismatic marble specimens, were analyzed in terms non-extensive statistical mechanics (NESM). Initially introduced by Tsallis, NESM has proven to be an autonomous robust theoretical framework for studying mechanisms damage evolution processes experiments specimens made brittle materials. In current work, time intervals AE data are NESM. For each examined specimen, corresponding q entropic indices βq parameters calculated, their variability applied studied. Furthermore, a possible linear relationship between index parameter was examined, it investigated whether observed deviation from monotonicity may signal increased accumulation damage, eventually leading final specimens. Through this emergence additional pre-failure indicator (i.e., βq) alongside well-established ones can provide further insight regarding underlying crack development rock