Investigating the graded-index influence on elastic responses of axisymmetric pressurized and heated thick-walled functionally graded material of cylindrical vessel

Abstract

This article presents the influence of a graded-index on the elastic responses of an axisymmetric pressurized and heated thick-walled functionally graded material (FGM) cylindrical vessel under plane strain conditions. It is assumed that the inside surface/outside surface of a cylinder is made up of ceramic /metal. The temperature-independent thermo-mechanical parameters of an FGM cylinder are described by using the rule-of-mixture with the function of radius. The profiles of thermo-mechanical material characteristics are assumed to vary continuously and gradually along the thickness direction of a cylinder. The numerical solutions of the thick-walled FGM cylinder governing differential equations are examined by using the non-linear shooting and fourth-order Runge-Kutta approaches. The thermo-elastic solutions of the thick-walled FGM cylinder over the radial direction are computed using Jupiter, Python open-access software, and graphically reported. The analytical solutions (AS) of a ceramic cylinder are compared with numerical solutions (NS) of an FGM cylinder (n = 0) to validate the proposed method. The results reveal that the graded-index n has a higher influence on the profiles of dimensionless hoop stress, dimensionless axial stress, dimensionless radial displacement, hoop strain, radial strain, and thermo-mechanical material properties in the dimensionless radial direction of an FGM cylinder. Nevertheless, the graded-index has an insignificant impact on dimensionless radial stress across the dimensionless radial direction of an FGM cylinder. Based on these findings, it is recommended that graded-index is an important parameter which can be used to regulate the responses of FGM structures under thermal and mechanical loading conditions.