Exact thermoelastic analysis of a thick cylindrical functionally graded material shell under unsteady heating using first order shear deformation theory

Vaziri, SA; Ghannad, M; Beg, OA

Abstract

In this article, a new analytical formulation is presented for axisymmetric thick-walled FGM cylinder with power-law variation in mechanical and thermal properties under transient heating using first order shear deformation theory. Equilibrium equations are derived by virtual work principles and energy method. The unsteady heat conduction equation is solved using the method of separation of variables, generalized Bessel functions and an Eigen-function method. Validation of the analytical solutions is conducted with a finite element method (FEM). The effects of time on stress and displacement distribution are studied in detail. The numerical values used in this study are selected based on earlier studies. The influence of effect of transient heat transfer on heterogeneous thick-walled cylinder elasticity is clearly demonstrated. In particular the significant influence of time and heterogenous constant on radial displacement, hoop stress and temperature distributions is computed. The study is relevant to rocket chamber thermo-mechanics, propulsion duct thermophysical design, industrial thermal storage systems etc.

Citation

Vaziri, S., Ghannad, M., & Beg, O. (2019). Exact thermoelastic analysis of a thick cylindrical functionally graded material shell under unsteady heating using first order shear deformation theory. Heat Transfer - Asian Research, 48(5), 1737-1760. https://doi.org/10.1002/htj.21455

• Journal Article Type: Article
• Acceptance Date: Mar 5, 2019
• Online Publication Date: Mar 21, 2019
• Publication Date: Mar 21, 2019
• Deposit Date: Mar 14, 2019
• Publicly Available Date: Mar 21, 2020
• Journal: Heat Transfer - Asian Research
• Print ISSN: 1099-2871
• Electronic ISSN: 1523-1496
• Publisher: Wiley
• Volume: 48
• Issue: 5
• Pages: 1737-1760
• DOI: https://doi.org/10.1002/htj.21455
• Publisher URL: https://doi.org/10.1002/htj.21455
• Related Public URLs: https://onlinelibrary.wiley.com/journal/15231496