Effect of Rotation on Wave Propagation in Micro-elongated Thermo-elastic Media with Fractional Conformable Derivative under the Refined Dual-Phase-Lag Model

This study investigates the impact of rotation on wave propagation within a micro-elongated thermoelastic medium, employing the fractional conformable derivative under Lord-Shulman (L-S) theory, the Dual-Phase-Lag (DPL) model, and the Refined Dual-Phase-Lag (RDPL) model. The governing equations for heat conduction, mechanical motion, and micro-elongation are formulated to account for finite thermal wave speeds and microstructural effects. By applying non-dimensionalization and normal mode analysis, the coupled system is transformed into analytically solvable form. Explicit solutions for displacement, temperature, stress, and micro-elongation fields are obtained. Numerical results compare L-S, DPL, and RDPL models with and without rotation, and assess the effect of fractional order. The results show that rotation significantly influences wave propagation characteristics such as amplitude, speed, and attenuation.