Results in Engineering, cilt.30, 2026 (ESCI, Scopus)
The present study develops a comprehensive model for Rayleigh surface wave propagation in a hydrostatically pre-stressed porous thermoelastic half-space with rotation, employing Eringen’s nonlocal elasticity theory, fractional three-phase-lag model of heat conduction with Caputo’s formulation, and dynamic void volume evolution. The resulting equations of motion, heat conduction, and porosity are solved for a problem of plane strain with surface thermal loading by employing a time-harmonic solution to obtain a complex-valued dispersion relation. From this relation, one can calculate the phase velocities and attenuation of surface waves, penetration depth, and heat loss. From this study, one can conclude that an increase in elastic nonlocality decreases the phase velocities and increases attenuation and heat loss due to stress averaging over microstructural lengths. Also, an increase in fractional order and hydrostatic pre-stress increases the phase velocities and decreases attenuation and penetration depth due to stiffening grain contacts. In this study, rotation increases attenuation and penetration depth due to Coriolis effects. Pore diffusion dominates fluid pressure equilibration and significantly affects attenuation. Sobol’s method of variance decomposition also reveals rotation and pulse duration as major parameters with considerable interaction effects among nonlocality, fractional order, and porosity. This model can be a general tool for analyzing surface wave behavior in porous nonlocal thermoelastic solids with thermal loading and can be applied to biomedical engineering and geophysics.