Finite element method for stress and strain analysis of FGM hollow cylinder under effect of temperature profiles and inhomogeneity parameter

Nonlinear Engineering

Sharma Honey¹  Kaur Ramandeep²  Sharma Dinkar³  Sandhir Munish⁴ 

[1] Department of Mathematics, Gulzar Group of Institute, Khanna-141401, Punjab, India;Department of Mathematics, I.K.G. Punjab Technical University, Kapurthala-144603, Punjab, India;Department of Mathematics, Lyallpur Khalsa College, Jalandhar-144001, Punjab, India;Department of Mathematics, Sikh National College, Banga-144505, Punjab, India;

关键词: cylinder;    stress;    strain;    temperature profile;    fem;   

DOI  :  10.1515/nleng-2021-0039

来源: DOAJ

【 摘 要 】

This study represents a numerical analysis of stress and strain in the functionally graded material (FGM) hollow cylinder subjected to two different temperature profiles and inhomogeneity parameter. The thermo-mechanical properties of a cylinder are assumed to vary continuously as power law function along the radial coordinate of a cylinder. Based on equilibrium equation, Hooke's law, stress-strain relationship in the cylinders, and other theories from mechanics second order differential equation is obtained that represents the thermoelastic field in hollow FGM cylinder. To find a numerical solution of governing differential equation, the finite element method (FEM) with standard discretization approach is used. The analysis of numerical results reveals that stress and strain in the FGM cylinder are significantly depend upon variation made in temperature profile and inhomogeneity parameter n. The results show good agreement with results available in the literature. It is shown that thermoelastic characteristics of the FGM cylinder are controlled by controlling the value of the above discussed parameters. Moreover, these results are very useful in various fields of engineering and science as FGM cylinders have a wide range of applications in these fields.

【 授权许可】

Unknown