Three-dimensional frame structures with uncertain edge-cracks

This paper presents a simple and reliable method for the probabilistic characterization of the linear elastic response of cracked structures with uncertain damage in the three-dimensional setting. In particular, frame structures with edge cracks of uncertain depth and location are considered. The method of analysis originates from an approach appeared in the literature, which is generalized to treat structures with cracks affected by uncertainty. According to this approach, the uncertainties are transformed into superimposed deformations depending on the distribution of internal forces and an iterative procedure is established to solve the resultant equations. The procedure is optimally tuned based on the convergence analysis. Numerical tests evidence excellent accuracy for multicracked structures with large fluctuation of damage