Analytical solution in transient thermo‐elasticity of functionally graded thick hollow cylinders (Pseudo‐dynamic analysis)

Abstract

SUMMARYThis work studies transient thermal stresses in a thick hollow cylinder made of a functionally graded material (FGM). Material properties are considered to be nonlinear with a power law distribution through the thickness. The cylinder is assumed to be of infinite length, and the plane strain condition is supposed. The displacement and the distribution of stresses are obtained by analytical solution of governing differential equations of the Navier type. The transient dynamic behavior of thermal stresses is determined and discussed for various power law exponents appearing in functions determining mechanical properties of FGMs.

Thermoelastic Analysis of a Functionally Graded Rotating Thick-Walled Tube Subjected to Mechanical and Thermal Loads

“…Thus the research on the prediction of stresses in rotating thick hollow tube has never ceased because of the importance of these basic structures in numerous mechanical, electrical, civil, and computer engineering applications. Owing to these reasons, the thermoelastic problems of rotating thick-walled tubes made of special nonhomogeneous materials have been studied by many researchers [4][5][6][7].…”

Time fractional heat transfer analysis in nonhomogeneous thick hollow cylinder with internal heat generation and its thermal stresses

“…Thermoelastic analysis subjected to partially heating on curved surface of a circular plate was investigated by Deshmukh and Khobragade [19]. Transient thermoelastic solution of functionally graded thick hollow cylinders was obtained analytically by Hosseini and Akhlaghi [24]. In [28], Solution for the temperature and thermal stresses due to circumferential loading in a hollow cylinder using integral transform was determined successfully.…”

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

“…They applied Fourier cosine transform and Laplace transform methods to the temperature field and the thermoelastic potential function and Love's displacement function approach to the thermoelastic field. Hosseini and Akhlaghi studied the transient thermal stresses in an infinitely long thick hollow cylinder made of a FGM under plane strain conditions assuming material properties to be nonlinear with a power law distribution through the thickness. Ghannad and Yaghoobi presented solutions for steady state thermoelastic response of an axisymmetric FGM cylinder subjected to pressure and external heat flux on the inner surface using FSDT and the first order temperature theory.…”