Mathematical Models for Composite Materials Degradation with Statistical Regularities: an Integrated Analysis across Western and Russian Approaches

An integrated analysis of mathematical models of composite material degradation is presented, combining achievements of Western and Russian scientific schools. The study spans from foundational works of 1939 to modern approaches involving machine learning integration in 2025. An integrated stochastic model was developed considering the statistical nature of degradation processes and peculiarities of composite component repair technologies. Numerical experiments demonstrate the feasibility of achieving prediction accuracy when combining deterministic and probabilistic approaches. The theoretical basis of the study relies on analyzing more than 50 scientific programmes according to Western sources. Computational validation is shown using aerospace parts with parametric analysis of influence of various degradation factors and repair procedures.