A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

Year:    2023

Author:    Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 3 : pp. 623–650

Abstract

This paper numerically and analytically investigates a non-linear static, two-dimensional thermoelastic analysis in the radial and tangential directions of a cylindrical shell made of functionally graded materials. The dependence of material properties on temperature makes the heat governing equations non-linear. To obtain the temperature field analytically, the heat conduction equation is linearized and exactly solved using a linearizing transformation, then this exact solution is substituted in the Lamme-Navier equations, and the elasticity equations are numerically solved using a second-order central finite difference method, and displacement and stress distributions are obtained. Finally, the temperature field, stress, and displacement distributions are presented, and the effect of inhomogeneous parameters on them is examined and discussed. The correctness and accuracy of the exact analytical solution of the temperature field are illustrated by a comparison with the numerical solution. The results show a good agreement.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2021-0282

Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 3 : pp. 623–650

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    28

Keywords:    Non-linear heat conduction temperature-dependent heat conductivity functionally graded material exact solution hollow cylinder.

Author Details

Hamed Panahi-Kalus

Amin Moosaie

Mehrdad Ahmadinejad

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