WAVES AT A BONDED INTERFACE BETWEEN DISSIPATIVE SOLIDS

Propagation of monochromatic plane waves in a linear viscoelastic solid is modelled through the stress-displacemen vector and turns out to be described by fundamental systems of solutions which are associated with an appropriate eigenvalue problem. Memory effects result in the fact that the pertinent eigenvalue problem is characterized by a non-Hermitian matrix and this hinders the application of known procedures. Then the recourse to suitably-defined horizontally and vertically polarized inhomogeneous waves simplifies the investigation of reflection and transmission. The rate of energy flux across the plane interface is examined. Differently from elasticity, the cross contributions arising from the various interacting inhomogeneous waves prove to be non-zero.