Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord–Shulman theory

The generalized coupled thermoelasticity based on the Lord–Shulman (LS) model that admits the second sound effect is considered to study the dynamic thermoelastic response of functionally graded annular disk. The disk material is considered to be graded along the radial direction, where a power law distribution is assumed. The thermal and mechanical waves propagation are investigated applying a sudden thermal exposure to the boundary. The Laplace transform is used to transform the governing equations into the Laplace domain, where the Galerkin finite element method is employed to solve the system of equations in space domain. Finally, the numerical inversion of the Laplace transform is used to obtain the actual physical quantities in the time domain. The time dependent temperature, radial displacement, radial stress, and hoop stress are plotted.