Develop a new mathematical approach to predict the crack propagation rate in a thin plate subjected to in-plane biaxial loading

Abstract

The mechanical design of metals must deal with structures collapsing due to cracks occurring in the material. This study focused on the edge crack at non-proportional cycle loading because it propagates quickly. This research attempted to determine two mathematical models that could predict the crack propagation rate for thin samples of aluminum alloy types 6061 and 5052 under constant tensile stresses and cyclic shear stress applied within the elastic limits of the material using Griffith energy of dynamic fracture. This was performed to evaluate if these models can predict crack growth rates and compare them with the numerical results of a computer system in the ANSYS program R1 2021. The direction of the crack path was calculated and compared with the analytical program. The results of the two mathematical models in predicting the dynamic growth rate in the studied alloys gave low error rates to the numerical solution.