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.

主要目的是研究非均匀半无限弹性圆板的瞬态热弹性响应，该圆板在上表面的同心圆区域上受到斜坡式加热。非均匀板具有通过具有变量z的板厚度以幂律形式表示的热机械特性并且具有恒定的泊松比。瞬态非齐次热传导微分方程使用修正的积分变换技术根据修正的贝塞尔函数求解。通过结合基于 Boussinesq-Papkovich 方法的热弹性位移势特征，在理论上评估了相关的热应力分量。对功能梯度陶瓷-金属基材料板进行数值计算，其中部分稳定氧化锆（PSZ）和奥氏体不锈钢（SUS304）在其中一个平面边界上进行斜坡式加热；而另一个平面边界保持在零温度。分析结果表明与文献中可用的结果一致。