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Theoretical analysis to predict the crack propagation of Al 2024 is required and validated by experiment. This theoretical analysis was developed through a mathematical model that is based on the development of the Paris equation. The Paris equation is used to analyze crack propagation against a constant amplitude load. In this paper, a mathematical model based on the Paris equation is developed for the load spectrum, where the effective results are obtained at stage 2 when conditions are stable. The results of the development of this mathematical model are quite promising to be used as a reference for further experiments with the same material [ABSTRACT FROM AUTHOR]

The present study is aiming to investigate and predict the possibility of cracks occurring in the rigid hollow shaft. Numerical analysis has been carried out using structural analysis tool for the angular frequencies. These results have been refining by employing MATLAB software. Fuzzy Logic tool has been employed to perform the pro-cess that conducted by MATLAB software. FEM has been conducted in ANSYS software to simulate whole body with three different angular velocity with a magnitude moment that subjected at the free end of the shaft. Three different angular velocities 1500 rpm, 2000 rpm and 2500 rpm were considered as input of both software (ANSYS and MATLAB). These values of angular velocities and moment are considered based on records that taken from the previous studies on gas turbines of aircraft. FEM approach has been governed by Paris equations crack detection, shear stresses equations and geometry equations. Results have been evaluated for both approaches (FEM and FUZZY logic). As well as this study is revealed that the results that gotten by MATLAB software is confidant with results that is gotten by ANSYS software for the same boundaries [ABSTRACT FROM AUTHOR]