Effect of Rotation on Wave Propagation in Micro-elongated Stochastic Thermo-elastic Media under theRefined Dual-Phase-Lag Model

Abstract

This work investigates the influence of rotational motion on wave propagation within a micro-elongated stochastic thermo-elastic medium. The governing relations describing elastic deformation, heat transport, and micro-elongation are formulated to accommodate finite thermal wave speeds and the additional degrees of freedom inherent in micro-structured materials. By applying an appropriate transform, the original coupled stochastic partial differential system is reduced to a set of stochastic ordinary differential equations that admit explicit analytical solutions. These solutions characterize the displacement field, micro-elongation behavior, stress components, and temperature distribution, enabling a comprehensive assessment of thermo-mechanical wave phenomena in a rotating environment. In addition, extensive numerical simulations are carried out to compare deterministic form and stochastic behaviors, with particular emphasis on how rotational effects and random thermal fluctuations modify the propagation characteristics.