The aim of this paper is to model planar structures containing stationary cracks and submitted to dynamic loads of seismic nature. This modeling aims to evaluate the dynamic stress intensity factor (DSIF), characterizing the resistance to brutal fracture of cracked structures, using two analysis strategies; the first is a modal (costs less and as precise as a method of direct resolution) and the other one is modal spectral (much less costly but not as much precise as the latter). The evaluation of the dynamic modal stress intensity factor DMSIF is performed using the extended finite element method (X-FEM) coupled with the modal and spectral modal analysis. The main advantage of the latter is its ability to model cracks independently of the mesh at a reduced computational time compared to the conventional finite element method. The proposed procedure is applied to a reference problem (Sailing cracked). Comparisons between DSIF Spectral and maximum of modal DSIF are discussed. In addition, the effects of orientation, length and location of crack on the variation of these DSIF are tested.
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