Reliability Modeling and Analysis of Competing Failure Systems With Damage Evolution Effect

In practical industrial engineering, systems with dependent and competing failure modes, such as aerospace systems and civil engineering structures, are ubiquitous. These systems usually simultaneously experience two failure modes: gradual internal degradation and external shock. The ultimate failure of the system results from the competition between the soft failure processes and the hard failure processes. With the wide application of intelligent management and artificial intelligence systems, this paper particularly focuses on the damage evolution processes of a system with intelligent characteristics, such as the damage self-healing processes. By combining the cumulative shock model with the (Formula presented.) shock model to create a mixed shock model, we analyze the evolution processes of internal performance degradation and external shock damage induced by the self-healing mechanism. We propose a novel system reliability model with dependent and competing failure processes that has practical significance for improving the accuracy of competing failure systems reliability assessments. Finally, to verify the practicability and validity of the model, empirical studies were conducted using examples of the corrosion process and prestressed strength of concrete degradation of reinforcement concrete (RC) pillar pier of sea bridges with pre-mixed self-healing capsules.