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Description
The intricate architectures of phononic crystals and metamaterials induce sophisticated wave behaviors that are directly tied to their internal geometries. While high-fidelity numerical models resolve these effects accurately, the computational overhead becomes prohibitive during extensive time-domain studies. To bridge this gap, effective continuum frameworks have emerged as a way to simulate macroscopic responses while embedding essential microscale physics [1,2]. This work evaluates the performance of micromorphic representations by benchmarking them against direct simulations of discrete microstructures. By identifying where these models succeed and where they diverge, we establish clearer boundaries for their use in the predictive design of advanced engineering materials.
[1] G. Rizzi, M.V. d’Agostino, J. Voss, D. Bernardini, P. Neff, A. Madeo (2024). From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials. European Journal of Mechanics-A/Solids, 106, 105269.
[2] J. Voss, G. Rizzi, P. Neff, A. Madeo (2023). Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach. Mathematics and Mechanics of Solids, 28(10), 2177-2201.