Method for the quantitative dynamic characterization of the ageing of a material, to which at least an acoustic transducer is applied, which is dedicated to a corresponding pre-defined acoustic oscillation frequency ν to provide an acoustic emission signal AE emitted by the material in a pre-defined time interval, the AE signal provided by each transducer being composed by a discrete series of rms values f(t j) of electrical potential values as measured at subsequent time points t j with j = 0,1,2,..., which are spaced apart by a time interval Δ 0 t that is predetermined as a function of the material and the wished speed of analysis of the same material, the method being characterised in that it comprises the execution of the following analysis steps of the AE signals: A. for each frequency ν, finding the outliers of said AE signal, each outliers indicating a tail in the statistical distribution of the values f(t j) and therefore indicating a process of elementary material collapsing or "leak domain", the time sequence of the outliers thus denoting the time evolution of the leak domains associated to frequency ν and hence the state change occurring in the material; B. starting from said discrete series of values f(t j), removing from them the outliers as found in step A, and constructing the "hammer diagram"; C. on the basis of the hammer diagram in step B, calculating the function of the "hammer index" H(t h) at time instants t h =1,2,3,..., which can only assume either value +1, representing an average anti-clockwise curvature in the trajectory described by the hammer diagram and therefore a response of the material to an external stress, or value -1 representing an average clockwise curvature in the trajectory described by the hammer diagram and therefore a current re-equilibration process of the material subsequent to the external stress, said "hammer index" being representative of the statistics of the times of evolution of the leak domains; D. for each triplet of points f(t k -1), f(t k) and t(t k +1), calculating the radius R H = P t O of the circumference passing through the same f(t k -1), f(t k) and f(t k +1), R H being thus the point curvature radius of the trajectory described by the hammer diagram, that is directly correlated with the average amplitude of the log-normal-type distribution that is characteristic of a leak domain associated to frequency ν of the considered AE signal. A. for each frequency ν, finding the outliers of said AE signal, each outliers indicating a tail in the statistical distribution of the values f(t j) and therefore indicating a process of elementary material collapsing or "leak domain", the time sequence of the outliers thus denoting the time evolution of the leak domains associated to frequency ν and hence the state change occurring in the material; B. starting from said discrete series of values f(t j), removing from them the outliers as found in step A, and constructing the "hammer diagram"; C. on the basis of the hammer diagram in step B, calculating the function of the "hammer index" H(t h) at time instants t h =1,2,3,..., which can only assume either value +1, representing an average anti-clockwise curvature in the trajectory described by the hammer diagram and therefore a response of the material to an external stress, or value -1 representing an average clockwise curvature in the trajectory described by the hammer diagram and therefore a current re-equilibration process of the material subsequent to the external stress, said "hammer index" being representative of the statistics of the times of evolution of the leak domains; D. for each triplet of points f(t k -1), f(t k) and t(t k +1), calculating the radius R H = P t O of the circumference passing through the same f(t k -1), f(t k) and f(t k +1), R H being thus the point curvature radius of the trajectory described by the hammer diagram, that is directly correlated with the average amplitude of the log-normal-type distribution that is characteristic of a leak domain associated to frequency ν of the considered AE signal.