Reliability analysis for fracture modelled by the partition of unity method

Fracture in quasi-brittle material is modelled by the partition-of-unity method. The material properties are considered as random fields, after which the randomness of the response is analysed by means of the geometric reliability method. The variation of the course of the crack upon variation of the material parameters is taken into account when computing derivatives. The presented theory is applied to a three-point bending experiment.

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