Axisymmetric Elastic stress investigation of a 2D- FGM thick hollow cylinder with new material model

Abstract

In this paper elastic mechanical stress analysis for a 2D- FGM thick hollow cylinder with finite length have been conducted in which the material properties distributions are following a new developed material model according to the Mori- Tanaka scheme. This cylinder is subjected to internal or external non-uniform pressure loading and finite element method with third order Lagrange shape functions have been utilized to analyze the problem. Verification has been performed with a simplified study in which the results have been extracted by utilizing MLPG method. The results show that the stresses obtained from external pressure loading is higher than its counterpart stresses related to the internal pressure. Furthermore, normalized effective stresses according to the metallic volume fraction along the horizontal center line have significant change by nz variation. Also, normalized effective stresses on the center point of the cylinder wall have been increased by increasing of nr. Finally, it has been demonstrated that the minimum value of the maximum normalized effective stresses for both internal and external pressure loading are related to material distribution of nr=20 and nz=0.1. It means that the ceramic 2 (Si3N4) rich cylinder wall has the lowest value of normalized effective stress.

Keywords

• 2d-fgm
• thick hollow cylinder with finite length
• mori-tanaka
• elastic stress