Abstract
The main objective is to investigate the transient thermoelastic response on a nonhomogeneous semi-infinite elastic circular plate that is subjected to ramp-type heating over the concentric circular region of the upper face. The nonhomogeneous plate has thermo-mechanical properties expressed in the form of power-law through the plate thickness with variable z and with constant Poisson's ratio. The transient nonhomogeneous heat conduction differential equation is solved using a modified integral transformation technique in terms of modified Bessel functions. The associated thermal stress components are evaluated theoretically by incorporating the thermoelastic displacement potential feature based on the Boussinesq-Papkovich method. Numerical calculation is carried out the functionally graded ceramic – metal based material plate, in which partially stabilized zirconia (PSZ) and austenitic stainless steel (SUS304) are subjected to ramp-type heating on one of the plane boundaries; whereas the other plane boundary is held at zero temperature. The analyzed findings indicate strong consent with those available in the literature.
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