article · Mechanics of Advanced Materials and Structures
A theoretical framework using a refined multi-phase-lags model describes wave propagation in a piezoelectric and thermoelastic medium influenced by gravity. By introducing an additional equation specific to piezoelectric behaviour, four coupled partial differential equations are established. These equations are solved exactly using a normal mode approach combined with a harmonic wave solution. The model determines key physical variables across the medium, including mechanical displacements, temperature changes, and electric potential. From these core variables, thermomechanical stresses and electric displacements are derived. Comparing different scenarios reveals how these fields depend on gravity, showing that most physical variables are highly sensitive to gravitational variations. The calculated values are tabulated to act as benchmark references for future theoretical and numerical analyses of these coupled physical phenomena.
Understanding how gravity interacts with heat, mechanical stress, and electrical potential in smart materials is critical for accurate theoretical modelling. Piezoelectric materials convert mechanical pressure into electrical signals and vice versa. By detailing how wave propagation behaves under gravitational forces, this research establishes fundamental baseline data for physicists and engineers working on advanced multi-physical systems.
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This work presents a refined multi-phase-lags theory for thermoelastic response of half-space medium with the inclusion of gravity. The wave propagation of a gravitated piezo-thermoelastic half-space has been presented. Additional equation for the piezoelectric material is added to get four partial differential equations. All coupled equations have been resolved exactly due to the normal mode model. A harmonic wave solution is adopted to derive the main variables of the medium. The displacements, temperature, and electric potential have been obtained. Consequently, the electric displacements and thermomechanical stresses have been also obtained. A comparison is made to show the dependency of all field on the inclusion of gravity. Most fields are very sensitive to the variation of the gravity factor. Results are tabulated to serve as benchmarks for future comparisons and other results have been displayed to show the physical meaning of the phenomena.
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DOI: 10.1080/15376494.2018.1533057
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