General Bloch modeling of piecewise periodic structures
Résumé
Bloch theory is broadly used to determine local wave dispersion characteristics of periodic media, which are key vibroacoustic indicators in a number of research fields such as metamaterials. Nonetheless, numerical frameworks based on Bloch theory, such as the Wave Finite Element method, can also be used to compute the dynamic response of large-scaled waveguides' assemblies. This formalism was used to tackle a variety of problems such as damage localization, material identification or vibroacoustic optimization of periodic media. The focus of this work is therefore to review and generalize the wave-finite element framework, as a tool for exploring wave dispersion, scattering or dynamic response in piecewise periodic structures.
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