A Domain of Influence Theorem for Thermoelasticity with Dual Phase-Lags

Abstract

Abstract The aim of the present work is to establish the domain of influence theorem for a potential-temperature disturbance under the generalized thermoelasticity with dual phase-lags. We prove that for a finite time t > 0, the potential related to the displacement and the temperature fields generate no disturbance outside a bounded domain. The domain of influence is shown to be dependent on the thermoelastic coupling constant and two phase-lag parameters. Keywords: Domain of influenceDual phase-lag modelGeneralized thermoelasticity ACKNOWLEDGMENT The authors thankfully acknowledge the constructive and valuable comments and suggestions of the reviewer for improving the quality of our article.