Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress–heat-flux problem

Abstract

The present paper deals with the natural stress–heat-flux problem in the context of dual-phase-lag thermoelasticity theory for an isotropic and homogeneous material with the initial and boundary conditions in terms of stress and heat-flux. The main aim of this work is to establish the domain of influence theorem for the considered problem. Using this theorem, a bounded domain, Dt is obtained such that outside this domain, no thermoelastic disturbance due to heat-flux and stress field is observed. The finite speed of propagation is shown to be dependent on material parameters and phase-lags. Results related to domain of influence in Lord–Shulman and classical thermoelasticity theory are also acquired from the present theorem. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.