This paper is concerned with the linear theory of thermoelasticity with microtemperatures, which permits the transmission of heat as thermal waves of finite speed, following the theory of Green and Naghdi. We study the propagation of plane harmonic waves in an unbounded strongly elliptic thermoelastic material with microtemperatures. We are able to prove that there is no dispersion and only undamped waves are possible. In the isotropic case we give the explicit analytic expression for the phase velocity of the waves. In particular we find that all transverse waves happen at constant temperature.

Plane harmonic waves in strongly elliptic thermoelastic materials with microtemperatures

CIARLETTA, Michele;PASSARELLA, Francesca;TIBULLO, VINCENZO
2015

Abstract

This paper is concerned with the linear theory of thermoelasticity with microtemperatures, which permits the transmission of heat as thermal waves of finite speed, following the theory of Green and Naghdi. We study the propagation of plane harmonic waves in an unbounded strongly elliptic thermoelastic material with microtemperatures. We are able to prove that there is no dispersion and only undamped waves are possible. In the isotropic case we give the explicit analytic expression for the phase velocity of the waves. In particular we find that all transverse waves happen at constant temperature.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4535057
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 21
  • ???jsp.display-item.citation.isi??? 20
social impact