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The aim of the work is to numerically simulate the degradation of elastic properties of carbon-fiber-reinforced polymers based on the previously developed model of damage in solids with mesoscopic defects. The paper presents a mathematical statement of cyclic loading of a representative volume of composite material with regard to damage accumulation. An analytical solution of the problem has been obtained, which made it possible to describe both the degradation of elastic properties and the Wohler curve (fatigue curve). An identification procedure of unknown model constants has been performed. Comparison of modeling results with experimental data of other authors showed good agreement.

For the first time, a simple and sensitive electrochemical sensor based on a screen printed electrode (SPE) modified with titanium dioxide (TiO2) and polytriazine imide submicrostructured composite (TiO2-PTI) has been developed for the simultaneous detection of fipronil (FIP) and its toxic metabolite fipronil sulfone (FIP-S). The submicrostructured composite material based on TiO2 and PTI was obtained by simple hydrothermal treatment of the Ti peroxocomplexes in the presence of pristine. This carbon nitride allotrope has better crystallinity and conductivity than its graphitic analog. It was found that the TiO2-PTI submicrostructured composite enhanced the electrochemical sensing of the SPE electrode towards FIP and its metabolite FIP-S in 0.1 M Britton-Robinson buffer (pH 10) at the oxidation potentials of 0.82 V and 0.94 V, respectively. In addition, it showed good stability and reproducibility for the determination of both analytes. Under optimal conditions, the peak currents by square wave voltammetry were found to vary linearly with FIP and FIP-S concentrations in the range from 0.01 to 10 μM and from 10 to 50 μM, with a detection limit of 8.42 nM, 3.6 μg/kg for FIP and 9.72 nM, 4.04 μg/kg for FIP-S. This sensor was successfully used to detect FIP and FIP-S in eggs and water samples with good recoveries of 90%–106.6%, which was validated by liquid chromatography tandem mass spectrometry.