A domain of influence theorem for a natural stress-heat-flux disturbance in thermoelasticity of type-II

The aim of the present work is to establish the domain of influence theorem for a stress-heat-flux disturbance under Green and Naghdi thermoelasticity theory of type-II. We consider a mixed problem of natural type represented as stress-heat-flux disturbance in the context of Green-Naghdi thermoelasticity theory of general type. We establish a general energy identity for the problem. Then we establish the domain of influence theorem for natural stress-heat-flux disturbance in the context of Green-Naghdi model of thermoelasticity of type-II. We prove that for a finite time t > 0, the pair of stress and the heat-flux field generates no disturbance outside a bounded domain. The domain of influence is shown to be dependent on the thermoelastic parameters.