Analysis of thermoelastic characteristics of disk using linear properties of material

Dinkar Sharma; Ramandeep Kaur; Honey Sharma

doi:10.26637/MJM0704/0005

Abstract

In this paper, finite element method (FEM) is applied on vibrating disk to study thermoelastic characteristics (stress, strain and displacement). Thermoelastic characteristics of disk are examined under two distinct cases of temperature distribution (uniform and steady-state). The material properties young's modulus, coefficient of thermal expansion and density are considered as constant as well as linear function of radius of the disk The materials Aluminimu $(\mathrm{Al})$ and Alumina $\left(\mathrm{Al}_2 \mathrm{O}_3\right)$ are considered for construction of functionally graded material (FGM) disk. Further, Poisson's ratio taken as constant because an effect of Poisson's ration on thermoelastic characteristics is negligible. To find solution of governing equation standard discretization approach of finite element method is used. The Graphical results show's significance variation of the Radial stress, Circumferential stress, Radial strain, Circumferential strain and Displacement with respect to normalized radial distance and Kibel Number. The analysis of the results shows that thermoelastic characteristics are not independent of temperature distribution as well as material properties.

Keywords:

Functionally Graded Material, Axisymmetric, Thermoelastic field, Finite Element Method, Kibel Number

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Dinkar Sharma Department of Mathematics, Lyallpur Khalsa Collge, Jalandhar-144001, India
Ramandeep Kaur Department of Mathematics, I.K. Gujral Punjab Technical University,Kapurthala-144603, India
Honey Sharma Department of Mathematics, Gulzar Group of Institutes, Khanna-141401, India.

Pages: 632-642
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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