D. Iesan et R. Quintanilla, DECAY-ESTIMATES AND ENERGY BOUNDS FOR POROUS ELASTIC CYLINDERS, Zeitschrift fur angewandte Mathematik und Physik, 46(2), 1995, pp. 268-281
The paper is concerned with the theory of elastic materials with voids
established by Nunziato and Cowin [1]. First, we derive decay estimat
es in a linear isotropic homogeneous elastic non-prismatic cylinder in
the framework of the equilibrium theory. Then, we use the method intr
oduced by Flavin, Knops and Payne [8] in order to establish energy bou
nds for the theory of steady vibrations, as well for the dynamical the
ory.