Abstract
This paper investigates the conditions under which resonant second-harmonic guided waves can be generated by the adhesive bond between two sublayers in a composite plate. It is assumed that the adhesive bond can be modeled as a nonlinear spring interface. As such, it can be further assumed that the interfacial traction is continuous across the interface, while the displacement has a jump across the interface. The jump is related to the interfacial traction nonlinearly. To illustrate the solution methodology without invoking complicated algebras, the two sublayers are assumed to share the same material and thickness. The modified normal mode expansion (mNME) method is adopted to solve the corresponding boundary value problem. It is found that a resonant second harmonic guided wave can be generated in such a composite plate when the frequency of the incident propagating Lamb mode coincides with that of a propagating Lamb mode in the plate whose frequency, when doubled, happens to be the frequency of another propagating Lamb mode.
