On the micromorphic thermoelasticity

The linear dynamic theory of micromorphic thermoelasticity is considered. Following [Rev. Roum. Sci. Technol. Mec. Appl. 34 (1989) 101] we establish a reciprocity relation which involves thermoelastic processes at different instants. Then we show that this relation can be used to obtain a uniqueness theorem and a reciprocal theorem. The uniqueness result is derived with no definiteness assumption on elastic constitutive coefficients. The reciprocal theorem avoids both the use of the Laplace transform and the incorporation of initial conditions into the equations of motion. A uniqueness result which avoids the positive definiteness of the conductivity tensor is also established. Then, the existence of a generalized solution is studied. (C) 2002 Elsevier Science Ltd. All rights reserved.