Investigating the Graded-Index and Poisson's Ratio Effects on Elastic-solutions of Functionally Graded Material Thick-Walled Cylinder under Thermo-mechanical Load
Creators: name: Yihunie Mognhod Bezzie
Publisher: name: National Academic Digital Repository of Ethiopia
Year: 2022
Subjects: Functionally graded materials; Thick-walled cylinder; thermo-mechanical loading; graded-index; Poisson's ratio; Rule of mixture

description: Functionally graded materials (FGM) are types of advanced composite material, which constitutes<br> of two or more different materials and varies the properties continuously and gradually through the<br> graded direction. It is widely used in various application areas such as, in power plant, petroleum,<br> chemical, military, and other areas. In the previous study, no work was performed that the analysis<br> of the FGM cylinder with considering the influence of Poisson’s ratio variation and the interaction<br> between the different constituent materials through the radial direction. Hence, the main objective<br> of this study was to investigated the effect of graded-index, Poisson’s ratio, different values thermomechanical loading on the elastic-solutions of an axisymmetric FGM thick-walled cylinder inplane strain condition. It is assumed that the thick-walled cylinder constitutes of mullite and<br> molybdenum and the two-phase volumetric fraction is used. The material properties varied<br> continuously and smoothly through radial direction, evaluated based on the rule of mixture. The<br> governing equations of an FGM cylinder are evaluated by using the non-linear shooting method<br> and the Runge-Kutta fourth-order algorithm. The numerical solutions were obtained by writing the<br> code of the governing equation in the python open-access environment software package. The finite<br> element solutions were performed by using ABAQUS 6.14-5 software package in order to validate<br> the numerical solutions. The results show that the graded-index has a great significant effect on the<br> response of stresses, strains, and displacement distributions across the radial direction of an FGM<br> cylinder subjected to internal pressure and combined loads of internal pressure and steady-state<br> temperature. It has also a significant effect on the overall material properties and temperature<br> distributions through the radial direction of a cylinder. Besides, Poisson’s ratio has a great<br> significant influence on the response of an FGM cylinder under internal pressure only. But both<br> graded-index and Poisson’s ratio have negligible effects on radial stress distributions through the<br> radial direction of the FGM cylinder under internal pressure and thermo-mechanical loading<br> conditions. Therefore, based on the key findings, it is recommended that the graded-index is an<br> important parameter for the design point of view to control the response of stresses, strains, and<br> displacements distribution of specific engineering applications. It is also recommended that the<br> Poisson's ratio must be considered as a variable like other material property functions to obtain the<br> sensitive solutions of an FGM cylinder. For future work direction, the current work can be extended<br> to the solutions of an FGM cylinder with considering three-dimensional geometry and also<br> temperature-dependent material properties