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Physics-based computational models play a key role in the study of wavepropagation for structural health monitoring (SHM) and the development ofimproved damage detection methodologies. Due to the complex nature of guidedwaves, accurate and efficient computation tools are necessary to investigatethe mechanisms responsible for dispersion, coupling, and interaction withdamage. In this paper, a fully coupled electromechanical elastodynamic modelfor wave propagation in a heterogeneous, anisotropic material system isdeveloped. The final framework provides the full three dimensional displacementand electrical potential fields for arbitrary plate and transducer geometriesand excitation waveform and frequency. The model is validated theoretically andproven computationally efficient. Studies are performed with surface bondedpiezoelectric sensors to gain insight into the physics of experimentaltechniques used for SHM. Collocated actuation of the fundamental Lamb wavemodes is modeled over a range of frequencies to demonstrate mode tuningcapabilities. The displacement of the sensing surface is compared to thepiezoelectric sensor electric potential to investigate the relationship betweenplate displacement and sensor voltage output. Since many studies, including theones investigated in this paper, are difficult to perform experimentally, thedeveloped model provides a valuable tool for the improvement of SHM techniques.

Fully Coupled Electromechanical Elastodynamic Model for Guided Wave Propagation Analysis