Abstract- This paper reports the finite element modeling of axial crack growth in a thin aluminum tube under gaseous detonation loading. The finite element method was used to handle the moving load and also the nonlinear characteristics of the problem. The simulation results were compared with the experimental results reported in the literature and also with the results obtained from an analytical model. Moreover, the cohesive element with traction-separation law was used for the crack growth modeling. The final part of the paper is devoted to comparisons between the numerical crack growth simulations obtained from the current work and the numerical results based on the CTOA criteria that were previously reported in the literature. The very good agreement between the two methods was indicative of the robustness of the implemented procedures. (this abstract seems a good description for this paper from the author point of view. please consider above text as abstract of this paper.)