Thermoelastic waves in double porosity materials
| Autor: | Stan Chiriţă, Andreea Arusoaie |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Shear waves Mechanical Engineering Mathematical analysis General Physics and Astronomy 02 engineering and technology 021001 nanoscience & nanotechnology Physics::Geophysics Standing wave Wavelength Algebraic equation 020303 mechanical engineering & transports Thermoelastic damping 0203 mechanical engineering Mechanics of Materials Surface wave Dispersion relation General Materials Science 0210 nano-technology Longitudinal wave |
| Zdroj: | European Journal of Mechanics - A/Solids. 86:104177 |
| ISSN: | 0997-7538 |
| DOI: | 10.1016/j.euromechsol.2020.104177 |
| Popis: | The focus of this paper is on the propagation of thermoelastic waves with assigned wavelength within the context of theory of thermoelasticity for materials with double porosity. It is shown that there exist two shear waves that are undamped in time, non-dispersive and that are unaltered by the presence of pore system or by thermal effects. Furthermore, there also exist other four longitudinal wave solutions that are dispersive and damped in time: one longitudinal quasi-elastic wave and two quasi-pore modes and one quasi-thermal mode. The dispersion relation is explicitly established like a fifth degree algebraic equation with real coefficients and hence it always allows some real roots, thus predicting existence of some standing waves. A numerical analysis for Berea sandstone shows that the speed of propagation of the longitudinal quasi-elastic wave is larger than the wave speed for its counterpart from the classical elastic model or that in the double porosity elastic model. The propagation of the Rayleigh surface waves is addressed and the corresponding secular equation is explicitly established. As an illustrative example it is used Berea sandstone when the secular equation is solved by means of the graphical method to prove that the Rayleigh surface wave problem admits a solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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