Thermoelastic interactions in functionally graded materials without energy dissipation

This study addresses the problem of thermoelastic interaction in functionally graded isotropic unbounded media owing to a timed pulse within the framework of generalized thermoelastic theory without energy dissipation (TEWOED). Functionally graded material (FGM, or material with spatially variable material characteristics) has its governing equations for the generalized thermoelastic model without energy dissipation (GNII) developed. These formulations are expressed in terms of Laplace transforms. The analytical solutions in the transform’s domain are obtained through the eigenvalues technique. The Laplace transforms are inversed using numerical methods. Finally, the acquired data are visually illustrated to illustrate how inhomogeneity, laser intensity, and laser pulse length affect displacement, temperature, and stress.