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The present work is part of a development of a complete and fast method,which will allow to determine the crack path in structures submitted to fatigue. Firstly acomplete numerical method allows us to calculate the Stress Intensity Factor (SIF), thebranching angles, enabling to determine the crack path and the crack growth curves.Secondly, we are developing a simplified approach which will assess, on the one handthe crack path, using a maximum principal stress criterion, and on the other hand, thecrack growth, based on the Line Spring method. This approach will determine the crackpropagation for part-through crack and is extended to full crack propagation in shellstructure. This simplified approach is then used in a global scheme with a multiinitiationcriterion based on a multiaxial fatigue assessment by local approach. It’s tobe noted that the adopted methodology doesn’t need any remeshing or numerousiterative FEM calculations in order to obtain the SIF.