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Thermomechanical responses of functionally graded cylinders

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study, thermal and mechanical stresses in hollow thick-walled functionally graded (FG) cylinders is presented under the convection boundary condition. The convective external condition and constant internal temperature in hollow cylinders are investigated. Inhomogeneous material properties produce irregular and two-point linear boundary value problems that are solved numerically by the pseudospectral Chebyshev method. The displacement and thermal stress distributions are examined for two different material couples under particular boundary conditions that are similar to their real engineering applications.Results have demonstrated that the pseudospectral Chebyshev method has low computation costs, high accuracy and ease of implementation and can be easily customized to such engineering problems.
Rocznik
Strony
19--28
Opis fizyczny
Bibliogr. 19 poz., rys., tab.
Twórcy
autor
  • Department of Mechanical Engineering, Tarsus University Tarsus/Mersin, Turkey
  • Department of Mathematics, Osmaniye Korkut Ata University Osmaniye, Turkey
Bibliografia
  • [1] Bezzie, Y.M., & Woldemichael, D.E. (2021). Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder. Forces in Mechanics, 4, 100032.
  • [2] Obata, Y., & Noda, N. (1994). Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. Journal of Thermal Stresses, 17(3), 471-487.
  • [3] Jabbari, M., Sohrabpour, S., & Eslami, M.R. (2002). Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads. International Journal of Pressure Vessels and Piping, 79(7), 493-497.
  • [4] Liew, K.M., Kitipornchai, S., Zhang, X.Z., & Lim, C.W. (2003). Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders. International Journal of Solids and Structures, 40(10), 2355-2380.
  • [5] Jabbari, M., Bahtui, A., & Eslami, M.R. (2006). Axisymmetric mechanical and thermal stresses in thick long FGM cylinders. Journal of Thermal Stresses, 29(7), 643-663.
  • [6] Peng, X.L., & Li, X.F. (2010). Thermoelastic analysis of a cylindrical vessel of functionally graded materials. International Journal of Pressure Vessels and Piping, 87(5), 203-210.
  • [7] Ostrowski, P., & Michalak, B. (2011). Non-stationary heat transfer in hollow cylinder with functionally graded material properties. Journal of Theoretical and Applied Mechanics, 49(2), 385-397.
  • [8] Alashti, R.A., Khorsand, M., & Tarahhomi, M.H. (2013). Three-dimensional asymmetric thermoelastic analysis of a functionally graded rotating cylindrical shell. Journal of Theoretical and Applied Mechanics, 51(1), 143-158.
  • [9] Xin, L., Yang, S., Ma, B., & Dui, G. (2015). Thermoelastic analysis of a functionally graded rotating thick-walled tube subjected to mechanical and thermal loads. International Journal of Thermophysics, 36(10-11), 3017-3036.
  • [10] Seifi, R. (2015). Exact and approximate solutions of thermoelastic stresses in functionally graded cylinders. Journal of Thermal Stresses, 38(10), 1163-1182.
  • [11] Celebi, K., Yarimpabuc, D., & Keles, I. (2017). A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially varying properties. Journal of Theoretical and Applied Mechanics, 55(1), 343-351.
  • [12] Benslimane, A., Benchallal, R., Mammeri, S., Methia, M., & Khadimallah, M.A. (2020). Investigation of displacements and stresses in thick-walled FGM cylinder subjected to thermomechanical loadings. International Journal for Computational Methods in Engineering Science and Mechanics, 22(2), 138-149.
  • [13] Chen, Y.Z. (2021). A novel numerical solution for a functionally graded hollow cylinder with arbitrary elastic property along the radial direction. International Journal of Pressure Vessels and Piping, 191, 104301.
  • [14] Bezzie, Y.M., & Woldemichael, D.E. (2021). Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder. Forces in Mechanics, 100032.
  • [15] Trefethen, L.N. (2000). Spectral Methods in Matlab, 10, SIAM, Philadelphia, PA.
  • [16] Fornberg, B. (1998). A Practical Guide to Pseudospectral Methods, 1. Cambridge: Cambridge University Press.
  • [17] Bazan, F.S.V. (2008). Chebyshev Pseudospectral Method for Computing Numerical Solution of Convection-Diffusion Equation. Applied Mathematics and Computation, 200(2), 537-546.
  • [18] Hahn, W.D., & Ozisik, M.N. (2012). Heat Conduction, New Jersey: John Wiley Sons.
  • [19] Gottlieb, D. (1981). The stability of pseudospectral Chebyshev methods. Mathematics of Computation, 36(153), 107-118.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-489ea4a8-d9fe-4dc6-b188-67836abc2a6c
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