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<!-- @page { size: 21cm 29.7cm; margin: 2cm } --> <p style="font-style: normal;"><span style="font-family: DejaVu Sans,sans-serif;">Unsteady motions are discussed within the context of the linearized theory of elasticity, the neo-Hookean theory of elasticity and the theory of interacting continua. In the last case, we discuss unsteady motions in an isotropic solid infused with a fluid, and a transversely isotropic solid infused with a fluid. We are able to show that the theory reduces to one that has a structure similar to that introduced by Biot.</span></p>