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Journal of Elasticity

Erschienen in:

06.03.2020

On the Wave Propagation in the Thermoelasticity Theory with Two Temperatures

verfasst von: Ciro D’Apice, Vittorio Zampoli, Stan Chiriţă

Erschienen in: Journal of Elasticity | Ausgabe 2/2020

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Abstract

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.

Vorheriger Artikel Generalization of Plane Stress and Plane Strain States to Elastic Plates of Finite Thickness

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Titel: On the Wave Propagation in the Thermoelasticity Theory with Two Temperatures
verfasst von: Ciro D’Apice
Vittorio Zampoli
Stan Chiriţă
Publikationsdatum: 06.03.2020
Verlag: Springer Netherlands
Erschienen in: Journal of Elasticity / Ausgabe 2/2020
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI: https://doi.org/10.1007/s10659-020-09770-z

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