Abstract
Guided wave motions generated by a time-harmonic load in layered structures are theoretically computed, in a simple manner, by the use of reciprocity theorems. The calculation includes Stoneley waves along a solid-solid interface of two bonded half-spaces, Rayleigh-Lamb type waves in a layered half-space, and guided waves in a general multi-layered plate. Based on the reciprocity relations between an actual state, wave motion subjected to a time-harmonic line load, and a virtual state, an appropriately chosen free guided wave traveling in layered structures, closed-form solutions of the scattered wave fields due to the loading are derived. The obtained results are critical to exploring the potential of using ultrasound-based methods for long-bone characterization and nondestructive evaluation of composite structure.
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