Stochastic boundary element method for fracture reliability analysis

In this study, a stochastic boundary element was developed for the analysis of fracture reliability. Displacement discontinuity method, an indirect boundary element method, was adopted due to its suitability of crack simulation. The integral equations and solutions are established by the partial derivation of the original integral equations and solutions. And the fundamental solutions were derived and implemented to a computer program. The results of calibration analysis show that the developed model can accurately analyze fracture reliability problems. And the developed model is much more efficient than the Monte Carlo analysis approach.