In this paper we investigate the asymptotic behavior of the semigroup associated to the solutions of the initial boundary value problem for a one-dimensional nonsimple thermoelastic solids. We show that the semigroup is exponentially stable but is not analytic. Moreover we show the impossibility of time localization of the solutions.
Fernández-Sare, H.; Muñoz , J.; Quintanilla, R. Decay of solutions in nonsimple thermoelastic bars. "International journal of engineering science", 01 Novembre 2010, vol. 48, núm. 11, p. 1233-1241.