Comparative Study between the J Integral and the Displacement jump methods in the Case of a Cracked Steel Structure under Static Tensile Loading
Keywords:
Modeling, Cracks, X-FEM, Steel, FIC, J Integral, Displacement jumpAbstract
The modeling of cracking is a very important issue for the structural analysis, moreover, it is a complex problem on the numerical level. Currently, conventional finite element methods are very dependent on the mesh size of the model and require a specific precision in mesh sensitivity studies and an increased computation time. New approaches based on the extended finite element method X-FEM offer a promising alternative in crack modeling and they are currently the subject of numerous work. This article reviews the modeling of cracked steel plates by the X-FEM and the computation of the stress intensity factor (SIF). After a review of the mathematical bases of fracture mechanics, the J integral method and the displacement jump method, numerical simulations of steel structures under static tensile loading were performed. We found that the displacement jump method provides better accuracy than the J integral method, which proves the effectiveness of displacement jump methods and their superior properties in certain specific situations.
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