TEMPERATURE DISTRIBUTIONS IN FUNCTIONALLY GRADED DISKS BY PSEUDOSPECTRAL CHEBYSHEV METHOD

Mehmet EKER, Durmuş YARIMPABUÇ, Enver TEMO

Abstract


In this study, we investigate the nonlinear heat conduction in a functionally graded disk subjected to various thermal loads, employing the pseudospectral Chebyshev method. The thermal material properties of the disk are assumed to vary radially according to the Voigt homogenization scheme. Due to the temperature sensitivity of the material, the thermal conductivity is modeled as temperature-dependent. The inner surface of the disk is subjected to a constant base temperature, while the outer surface is governed by both Dirichlet and Neumann boundary conditions. Additionally, the influence of the convection coefficient is considered to simulate different operating conditions. These scenarios result in nonlinear differential equations, which are challenging for conventional methods to solve. The nonlinear temperature distributions in the functionally graded disk under thermo-mechanical loads are determined and graphically illustrated.  

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References


M. Bayat, M. Saleem, B. B. Sahari, A. M. S. Hamouda, and E. Mahdi, "Analysis of functionally graded rotating disks with variable thickness," Mechanics Research Communications, 35(5), pp. 283–309, 2008.

A. Kösedağ, "Fonksiyonel Derecelendirilmiş Malzemeden Yapılmış Dönen, İçi Boş Bir Diskin Gerilme ve Deplasman Dağılımının Belirlenmesi," M.S. thesis, Gazi University, Ankara, Turkey, 2007.

S. A. H. Kordkheili and R. Naghdabadi, "Thermoelastic analysis of a functionally graded rotating disk," Composite Structures, 79(4), 2007.

R. Chiba, "Stochastic heat conduction analysis of a functionally graded annular disc with spatially random heat transfer coefficients," Applied Mathematical Modelling, 33(1), 2009.

D. Türkmen, "Functionally graded discs subjected to uniform temperature loading," Science and Engineering of Composite Materials, 17(1), 2010.

H. Çallioglu, "Stress analysis in a functionally graded disc under mechanical loads and a steady state temperature distribution," Sadhana - Academy Proceedings in Engineering Sciences, 36(1), 2011.

N. Noda, Y. Ootao, and Y. Tanigawa, "Transient thermoelastic analysis for a functionally graded circular disk with piecewise power law," Journal of Theoretical and Applied Mechanics, 50(3), 2012.

N. Tutuncu and B. Temel, "An efficient unified method for thermoelastic analysis of functionally graded rotating disks of variable thickness," Mechanics of Advanced Materials and Structures, 20(1), 2013.

A. Kurşun and M. Topçu, "Thermal stress analysis of functionally graded disc with variable thickness due to linearly increasing temperature load," Arabian Journal for Science and Engineering, 38(12), 2013.

D. Gönczi and I. Ecsedi, "Thermoelastic analysis of functionally graded hollow circular disc," Archive of Mechanical Engineering, 62(1), 2015.

S. Daviran, S. Mohasseb, A. Kasaeian, and O. Mahian, "Differential quadrature method for thermal shock analysis of CNT reinforced metal-ceramic functionally graded disc," Composite Structures, 161, 2017.

A. Yıldırım, D. Yarımpabuç, V. Arikan, M. Eker, and K. Celebi, "Nonlinear thermal stress analysis of functionally graded spherical pressure vessels," International Journal of Pressure Vessels and Piping, 200, p. 104830, 2022.

S. Deka, A. Mallick, P. P. Behera, and P. Thamburaja, "Thermal stresses in a functionally graded rotating disk: An approximate closed form solution," Journal of Thermal Stresses, 44(1), 2020.

L. N. Trefethen, Spectral Methods in Matlab, Philadelphia, PA, USA: SIAM, 2000.


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