On the Wave Propagation in the Thermoelasticity Theory with Two Temperatures
| Autor: | Stan Chiriţă, Vittorio Zampoli, Ciro D'Apice |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Secular equation
Assigned wavelength Two temperatures thermoelasticity Plane harmonic waves Dispersion relation Rayleigh waves 02 engineering and technology 01 natural sciences symbols.namesake Thermoelastic damping 0203 mechanical engineering General Materials Science 0101 mathematics Rayleigh wave Physics Mechanical Engineering Mathematical analysis Transverse wave 010101 applied mathematics Wavelength 020303 mechanical engineering & transports Mechanics of Materials Surface wave symbols Harmonic Longitudinal wave |
| Zdroj: | Journal of Elasticity. 140:257-272 |
| ISSN: | 1573-2681 0374-3535 |
| DOI: | 10.1007/s10659-020-09770-z |
| Popis: | This paper considers the thermoelastic theory with two temperatures that involves higher gradients of thermal and mechanical effects. The wave propagation question is addressed within the class of waves of assigned wavelength. Considering harmonic in time wave solutions, it is found that the transverse waves are undamped in time and non-dispersive, and they are not altered by the thermal effects. Conversely, the longitudinal waves are dispersive and damped in time; the dispersion relation is established like a cubic equation and the effects of conductive temperature are explicitly presented. Rayleigh surface waves are also studied and an explicit secular equation is derived by using wave solutions damped in time. Illustrative examples are numerically analyzed and graphically depicted. The results achieved are meaningful because they are able to bring information about the propagation of waves with assigned length and, moreover, they are in agreement with the results regarding the wave speed of travelling discontinuities. Also the structure of the wave solutions provides information upon asymptotic stability. |
| Databáze: | OpenAIRE |
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