This paper is concerned with the axisymmetric thermoelastic problem to investigate the influence of nonlinear heat conduction equation, displacement functions and thermal stresses of a functionally graded transversely isotropic hollow cylinder that is presented in the elliptical coordinate system. The method of integral transform technique is used to produce an exact solution of the heat conduction equation in which sources are generated according to a linear function of the temperature. An explicit exact solution of the governing thermoelastic equation is proposed when material properties are power-law functions with the exponential form of the radial coordinate. Numerical calculations are also carried out for Material I with the nearly isotropic feature, along with Material II as an anisotropic material and illustrated graphically. The validity of the solution is demonstrated by comparing with the previous results.
Dhakate, Tara; Varghese, Vinod; and Khalsa, Lalsingh
Thermoelastic stress analysis of a functionally graded transversely isotropic hollow cylinder in elliptical coordinates,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
2, Article 18.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/18