Vol.21, No.3, 2021, pp. 259–265
UDC:

COMPARISON OF MATERIAL RESPONSE FOR THERMOMECHANICAL STRESSES IN FUNCTIONALLY GRADED ROTATING CYLINDERS

Parth Dinesh Mehta, Sandeep Kumar Paul, Manoj Sahni*

Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, INDIA

email: manojsahani117@gmail.com

 

Abstract

In this paper, an attempt is made for modelling of nonlinear thermoelastic stress analysis for cylinders made up of innovatively graded material with ceramic at inner surface and metal at outer surface. Material properties of functionally graded cylinder namely, Young’s modulus, density, and coefficient of thermal expansion are varied in radial direction in a power law form. Using equation of equilibrium for an axisymmetric cylinder, the relation between stress-strain and strain-displacement, effect of elasticity modulus, coefficient of thermal expansion, temperature, density on rotating functionally graded cylinder under internal-external pressure and centrifugal body force is analysed. The study provides solution for radial and tangential stress, and radial displacement in closed form. The objective of our analysis is to conduct material comparison for the performance of functionally graded cylinders with different material combinations under different pressure conditions. Results for thermo-mechanical radial and tangential stress, and displacement are discussed with their graphical presentation. The outcome of our analysis leads to an observation that functionally graded rotating cylinder made up of Al-SiC or Al-ZrO2 has a better response to thermomechanical loading conditions.

Keywords: functionally graded materials (FGMs), thick-walled cylinder, stress-strain, modulus of elasticity, thermal conductivity, thermal expansion

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