ABSTRACT:This study investigates the influence of rotation and initial stress on wave propagation in generalized thermoelastic media. A mathematical model is developed within the framework of generalized thermoelasticity, incorporating the effects of rotational motion and pre-existing initial stress. The governing equations of motion, heat conduction, and constitutive relations are formulated and solved using an appropriate analytical technique under suitable boundary conditions. Dispersion relations are derived to examine the characteristics of elastic and thermal waves. Numerical simulations are performed to evaluate the effects of rotational speed, initial stress, and thermoelastic coupling on wave velocity, attenuation, displacement, temperature distribution, and stress fields. The results reveal that both rotation and initial stress significantly alter the propagation behavior of thermoelastic waves, leading to notable changes in wave speed, damping characteristics, and thermal response. Increased rotation generally enhances wave dispersion, while compressive initial stress substantially influences the phase velocity and amplitude of the propagating waves. The findings contribute to a deeper understanding of wave propagation in rotating thermoelastic structures and provide valuable insights for the design and analysis of engineering components operating under thermal, mechanical, and rotational loading conditions, such as aerospace structures, rotating machinery, and geophysical systems.
KEYWORDS: Generalized thermoelasticity, Wave propagation, Rotation, Initial stress, Thermoelastic waves, Dispersion relation, Elastic waves, Thermal effects, Rotating media
INFLUENCE OF ROTATION AND INITIAL STRESS ON WAVE PROPAGATION IN GENERALIZED THERMOELASTIC MEDIA
MOHIT,RESEARCH SCHOLAR
DR. VINEETA BASOTIA , RESEARCH GUIDE.
DEPARTMENT OF MATHEMATICS, SHRI JJT UNIVERSITY, JHUNJHUNU, RAJASTHAN, INDIA