The performance of a Cosserat/micropolar solid as a numerical vehicle to represent dispersive media is explored. The study is conducted using the finite element method with emphasis on Hermiticity, positive definiteness, principle of virtual work and Bloch-Floquet boundary conditions. The periodic boundary conditions are given for both translational and rotational degrees of freedom and for the associated force- and couple-traction vectors. Results in terms of band structures for different material cells and mechanical parameters are provided.
@article{arxiv.1909.06464,
title = {Finite element modeling of micropolar-based phononic crystals},
author = {Nicolás Guarín-Zapata and Juan Gomez and Camilo Valencia and Gary F. Dargush and Ali Reza Hadjesfandiari},
journal= {arXiv preprint arXiv:1909.06464},
year = {2019}
}