This article describes the impacts of variable thermal conductivity and diffusivity on an infinite thermoelastic diffusion circular plate of finite width with a heat source due to axisymmetric thermal and chemical potential loadings in the light of two-temperature generalized thermoelastic diffusion theory. The thermal conductivity and diffusivity are assumed to be linear functions of thermodynamic temperature and concentration, respectively. The governing equations are transformed into the linear form by applying Kirchhoff’s transform. These equations are solved by using the Laplace–Hankel transform technique. In the transformed region, the closed form expressions for conductive and thermodynamic temperatures, displacement and stress components, concentration, and chemical potential are obtained. To transform the solutions to the original domain, a numerical inversion technique is applied. Numerical results for thermodynamic and conductive temperatures, normal stress component, and chemical potential are depicted graphically to illustrate the impacts of two temperatures, ramping time parameter, variable thermal conductivity and diffusivity. A validation of the obtained results is also presented.

本文根据双温度广义热弹性扩散理论，描述了由于轴对称热和化学势载荷，可变热导率和扩散率对有限宽度的无限热弹性扩散圆板和热源的影响。假设导热系数和扩散系数分别是热力学温度和浓度的线性函数。通过应用基尔霍夫变换将控制方程转换为线性形式。这些方程使用拉普拉斯-汉克尔变换技术求解。在转换区域中，获得了传导和热力学温度、位移和应力分量、浓度和化学势的闭合形式表达式。将解决方案转换为原始域，应用了数值反演技术。以图形方式描述了热力学和传导温度、法向应力分量和化学势的数值结果，以说明两个温度、斜坡时间参数、可变热导率和扩散率的影响。还提供了对所获得结果的验证。