An alternative way to represent data regarding internal damage processes, specifically the data provided by the acoustic emission (AE) technique and the pressure stimulated currents (PSCs), is attempted in this study, in terms of logperiodic power-law models. Both monitoring techniques have been already successfully considered widely, either independently or in juxtaposition to each other, in case of standardized laboratory experiments with specimens of relatively simple geometry and moderate dimensions made of a single material. The innovation of the present study is that the AE and PSC data modelled were recorded during structural tests with specimens of complicated geometry made of three different materials, ie, marble, cement paste/mortar, and titanium. It was clearly concluded that both AE and PSC data can be quite successfully modelled in terms of log-periodic power-law models. Moreover, it was indicated that in case of complex experimental setups , log-periodic power-law models approach experimental data according to a more accurately manner than pure power-law models do, thus opening up new possibilities of studying the internal damage processes and detecting perhaps useful prefailure indicators.