Elastic Stress Analysis of Shrink-Fit Thick-wall FGM Cylinders

Abstract

This study represents analytical analysis of stress and strain within a functionally graded material (FGM) shrink-fitted assembly, considering variations in inhomogeneity parameters, interference value and geometries. The elasticity modulus is modeled to vary continuously as a power-law function along the radial coordinate of the assembly. Assumptions of plane strain and the von Mises criterion with a constant Poisson's ratio are adopted. Based on, equilibrium equation, Hooke's law, the stress-strain relationship within the assembly, and other mechanical theories, a second-order differential equation is derived. This equation accurately represents the elastic field within a Functionally Graded Material(FGM) assembly. Although similar approach have been utilized in the past to examine stress and displacement in FGM cylinders or spheres subjected to pressure, applying this approach specifically to the shrink fitting of FGM cylinders represents a novel and unexplored area of research. The analysis of results reveals the notable impact of variations in the inhomogeneity parameter n and the assembly's geometry on the stress and strain within the Functionally Graded Material (FGM) assembly. Additionally, the interference value plays a significant role in influencing the residual contact pressure, subsequently affecting the transmissible torque. The findings exhibit a commendable alignment with existing results in the literature. It is demonstrated that the elastic characteristics of the FGM can be effectively controlled by managing the values of the aforementioned parameters. Furthermore, these findings prove highly valuable across diverse engineering and scientific domains, since shrink fitting of Functionally Graded Materials (FGM) holds particular significance in numerous applications, notably in fields such as aerospace and biomedical engineering.