The problem of vibration localized within the vicinity of the interface of two perfectly
bonded semiinfinite elastic strips is investigated. The cases of free and forced
vibration are both examined in strips composed of prestressed, incompressible elastic
material. It is established that the localized interfacial vibration frequencies are
functions of an associated interfacial wave speed. A consequence of the prestress is
that interfacial waves exist only for certain regimes of primary deformation. For
critical values of principal stretches the wave speed may approach either zero,
corresponding to quasistatic interfacial deformations, or an associated body wave
speed, corresponding to degeneration of the interfacial wave into a body wave. In the
case of free vibration, approaching a critical principal stretch value is shown to result
in a significant increase in the edge spectrum density. In the forced vibration
problem, a corresponding significant decrease in the influence in the resonances is
observed. The analysis is carried out within the most general appropriate
constitutive framework, and includes a number of numerical illustrations
involving neo-Hookean and Varga materials to illustrate the aforementioned
phenomena.
