Reliability analysis in fracture mechanics according to combined failure Criteria

Abstract

The interest in reliability analysis related to Fracture Mechanics field grew during the past decades. This contribution proposes a reliability analysis combining two failure criteria: the crack stability and the plastic collapse by mean of the Failure Assessment Diagram (FAD). FAD and reliability method are coupled to assess the probability of failure. Some issues have been highlighted considering classic gradient-based optimization methods to determine key points for approximation method. A strategy based on surrogate-based evolutionary algorithms is proposed to solve these issues. A discussion on the most influencing parameters and their consequences in terms of reliability based design is also presented. The application of the methodology is demonstrated on a simple test case.