Abstract
The plane-strain thermoelastic problem in a hollow circular cylinder of functionally gradient material (FGM) is formulated in terms of a stress function taking into account the temperature-dependent properties of the material. The formulation is achieved by deriving the conditions necessary for the assurance of the single valuedness of rotation and displacements in a hollow circular cylinder with arbitrary nonhomogeneities and temperature-dependent properties of material. Numerical analysis by the finite difference method to show a use for the proposed formulation is presented for PSZ (partially stabilized zirconia) / SUS 304 (type 304 stainless steel) FGM and PSZ / LCS (low carbon steel) FGM circular cylinders subjected to unaxisymmetric transient heating on the inner boundary surface. The significance of the temperature-dependent properties of material to the thermoelastic material design of FGM is quantitatively discussed.
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