Harmonic

Quantum mechanics

Phase (matter)

Half-space

Pure mathematics

Materials science

Thermoelastic damping

Field (mathematics)

Operating system

Phase space

Vibration

Computer science

Acoustics

Classical mechanics

Thermodynamics

Physics

Mathematics

Thermal

Normal mode

Work (physics)

Mathematical analysis

Partial differential equation

Piezoelectricity

Mechanics

Space (punctuation)

Mechanics of Advanced Materials and Structures

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.

Wave propagation of a gravitated piezo-thermoelastic half-space via a refined multi-phase-lags theory