Thermo-diffusion of a thick circular plate via modified Green–Naghdi models

This article presents the thermo-diffusion of an isotropic thick circular plate. The Green and Naghdi’s models including the energy dissipation are anticipated in their simple forms. Novel multi single/dual-phase-lag models with higher-order timederivatives are also provided to examine the thermo-diffusion response of the circular plate. The simple and refined forms of Green and Naghdi’s types II and III are investigated in this work. The closed-form solution of thermal diffusion governing equations is attained by taking into account the boundary conditions. A validation examples of outcomes are acceptable by comparing all quantities according to the discussing of all thermoelastic models. The refined forms of Green and Naghdi’s types II and III should be applied to get accurate outcomes.