Coupled equations governing temperature and stress fields incorporating solidification in a growing body with a moving boundary are developed based on the thermomechanics of a mixture of liquid and solid, and a finite-element method for stress analysis as well as temperature distribution is formulated, where a unified inelastic constitutive relationship capable of describing both elastic-viscoplastic solids and viscous fluids is employed. Examples of numerical calculation of temperature affected by solidification and stresses are presented for some practical cases of centrifugal casting processes. In order to verify the results of simulation, calculated temperatures were compared with the measured data.