Abstract
Analytical solutions are presented for a transient temperature field and the associated thermal stress field in a hollow hemisphere of functionally graded material (FGM) in the radial direction due to axisymmetric heatings on the inner and outer spherical surfaces. The temperature field in the FGM hollow hemisphere is obtained by solving the transient heat conduction problem in a multilayered hollow hemisphere by means of the introduction of Legendre transformation method and a new orthogonal relation of the eigenfunction with the discontinuous-weighting function for multilayer regions. The associated thermal stress problem is solved by the use of the thermoelastic displacement potential and Papkovich-Neuber's stress fuunctions.
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