Abstract
In this article we derive a continuum theory for a viscoelastic composite which is modelled as a mixture of a micropolar elastic solid and a micropolar Kelvin-Voigt material. The local forms of balance laws are presented in lagrangian description. Linear constitutive equations are presented for a heat conducting mixture. In contrast with the theories of solid-fluid mixtures, in the present theory the diffusive force depends on relative displacement, relative velocity, relative microrotation and relative microrotation rate.A uniqueness result is established in the context of the linear theory. Finally, the effects of a concentrated heat source are investigated.
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