Rapid Calculation Procedure for the Analysis of a Functionally Graded Tube Subjected to Internal Pressure under Plane Strain Condition

Abstract

A rapid calculation procedure is presented for the analysis of a functionally graded tube subjected to internal pressure under plane strain condition. The exact analysis for the problem involves derivation of a hyper-geometric differential equation whose solution is a hyper-geometric function. The exact analysis involves the use of complicated terms and is time-consuming. In order to simplify the calculations, a procedure based on an approximation of variation of modulus of elasticity by an integral average value has been studied which resulted in faster calculation and results obtained have been in close agreement with exact solution highlighting the effect of material properties on stresses.

Keywords:

• Composites
• Functionally graded material
• Mechanical
• Elastic behavior
• Modulus of elasticity