The central result of this thesis is the set of new algorithms for further analysis of acoustic excitations during cracking and an extension of defects in materials in particular interfaces. The key result is to transfer multiple acoustic emissions and frictional interfaces patterns to complex topological graphs and formulate the dynamic evolution of graphs regarding fast motion of microscopic cracks. This mapping led us to find that any microscopic crack evolve in three main stages corresponding to nucleation, weakening and decelerating regimes. Further investigation revealed classification of events (i.e., universal classes) in association with rupture regimes (velocity and crack-like or pulse-like) and in microscopic scales. As another result, I suggest that weakening regime in microscopic events is strongly coupled with energy dissipation sources (toughness). The general theory of continuous phase transition---known as Kibble-Zurek mechanism (KZM)---likely supports the findings and draws a universal power law between traversing rate to a critical zone (local ramp time per each acoustic excitation) and size of defects as well as freeze-out time. With this concept, dynamic of "static friction" is linked to KZM. |