Analysis of thermoelastic characteristics of disk using linear properties of material
Authors :
Dinkar Sharma 1 , Ramandeep Kaur 2 * and Honey Sharma 3
Author Address :
1 Department of Mathematics, Lyallpur Khalsa Collge, Jalandhar-144001, India.
2 Department of Mathematics, I.K. Gujral Punjab Technical University,Kapurthala-144603, India.
3 Department of Mathematics, Gulzar Group of Institutes, Khanna-141401, India.
*Corresponding author.
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 ($Al$ ) and Alumina ($Al_{2}O_{3}$ ) 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.
DOI :
Article Info :
Received : May 17, 2019; Accepted : September 15, 2019.
