Analysis of thermomechanical stresses in dual compound thick cylinders under asymmetric loads: An analytical and numerical method

This study presents a 2D comprehensive analytical and numerical analysis of the thermomechanical stresses in an unsymmetric dual compound thick cylinder under steady-state conditions. By employing mathematical analysis, this research aims to investigate the effectiveness of a 2D compound cylinder in reducing elastic and thermoelastic stresses. The temperature and displacement fields are thought to be dependent on the radial and circumferential directions, subject to asymmetric thermal and mechanical boundary conditions on the inner and outer surfaces. In this scenario, the Poisson ratio is considered to be a constant. The techniques of variable separation and complex Fourier series are employed analytically in the solution of heat conduction and Navier equations. The results obtained from the developed analytical method are compared and validated against those obtained from a finite difference method (FDM). The findings of this study suggest that the clamping of the outer layer has a significant influence on stress distribution in the structure, and the impact of tangential stress on the behavior of a compound cylinder is highly dominant. Furthermore, changes in temperature significantly influence hoop stress compared to variations in internal pressure levels. Moreover, the influence of internal pressure is relatively attenuated when a pressure vessel is fabricated utilizing different metals. In addition, the findings indicated that the configuration of layers and the location of the highest temperature had a significant impact on the performance of the vessel. Nevertheless, the technology provided has sufficient robustness to effectively address the complexities associated with the design of multilayered graded materials (GM) in additive manufacturing applications.