ABSTRACT
Reliability analysis aims to estimate the probability that products perform their intended performance under the specified working conditions during their lifecycle. For highly reliable products, it is difficult to collect enough data to conduct reliability analysis using the statistics-based method. From the aspect of failure mechanism of products, the physics-based method will be a proper choice for reliability analysis with insufficient data. Time-variant reliability analysis aims to estimate the probability that products successfully complete the intended performance during a given time interval. The chapter illustrates the procedure of the time-variant reliability analysis based on the failure processes decomposition method. Several numerical approximation methods could be employed for the multi-dimensional integration, such as full factorial numerical integration, univariate dimension reduction method, and sparse grid based stochastic collocation method. Full factorial numerical integration method can obtain accurate results, but suffers from the curse of the dimensionality, and is suitable mainly for solving the low dimensional problems.
