To evaluate the resistance to failure of the constructions with cracks usually the fracture criterions are used. One of such criterion used to evaluate failure is J-integral. Calculated value of failure criteria in construction with crack is compared with its critical value for the material the construction is made of. The values of J-integral for the materials are usually experimentally determined. This article presents the methodology for the determination of J-integral using numerical methods. For this purpose the Finite Element (FE) code ABAQUS was used.The modelling of the J-integral of steel P91 was performed. 2D and 3D FE models were used for this purpose. The experimental stress – strain curve was used as material description. For crack growth calculation the crack opening displacement as a function of crack length is presented. The prognosis results of J-integral were compared with experiment data.As results of investigation the J-integral of steel P91 was determined. Prognosis results were compared with experiment. Numerically determined J-integral has acceptable coincidence with experiment results.Keywords: Finite element method, fracture mechanic, J-integral
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