This paper studies the spatial behaviour of the dynamic processes in elasti
c mixtures. With this aim we use the time-weighted surface power function m
ethod associated with the linear processes. Consequently, we obtain a preci
se determination of the domain of influence and the spatial decay estimates
with time-independent decay rate inside of the domain of influence. A uniq
ueness theorem is proved for finite and infinite bodies and we note that it
is free of any kind of a priori assumptions on the solutions at infinity.
(C) 2001 Editions scientifiques et medicales Elsevier SAS.