ABSTRACT
The determination of elastic properties by means of a nonde-
structive resonant vibrating method has been developed for bulk
and coated materials characterization. The study of bulk materials
is investigated in relationship with physical properties. Analytical
models of composites vibrations allow us to determine accurately
the modulus of both the coating and the substrate and applied
to single-coated materials; this formalism is then extended to the
study of multicoated materials. For materials presenting gradients
of mechanical properties, a simplified n-layer model allows to estimate the modulus gradient. Recent developments concern the
determination of the shear modulus and the evaluation of residual
stresses for bulk and coated materials.