Effect of gravity and Wiener process on wave propagation in micro-elongated stochastic thermo-elastic media under three theories
摘要
This study investigates the influence of gravitational forces on wave propagation in a micro-elongated stochastic thermo-elastic medium, motivated by the need to better understand thermo-mechanical wave behavior in microstructured materials subjected to thermal fluctuations and external fields. The analysis accounts for the presence of micro-elongation effects and finite-speed heat conduction, which play a crucial role in the dynamic response of such materials. An analytical framework is developed to describe the coupled behavior of displacement, micro-elongation, temperature, and stress fields under gravitational loading. By employing a suitable nondimensionalization and an efficient transform-based technique, explicit solutions to the governing equations are obtained. Numerical simulations are then carried out to compare deterministic and stochastic responses. The results demonstrate that gravity and random thermal perturbations significantly modify wave propagation characteristics, leading to noticeable changes in amplitude, phase, and attenuation of thermo-elastic waves. These findings provide valuable physical insight into the coupled thermo-mechanical response of micro-elongated materials and may contribute to the design and analysis of advanced microstructured and composite systems operating in gravitational environments.