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In this article, we explore relaxed micromorphic modeling applied to finite-size metamaterials, analyzing dispersion curves and their relationship with unit cell properties. By applying a plane strain approximation with a time-harmonic wave hypothesis, a homogeneous algebraic system is obtained that allows the study of wave propagation in these advanced materials.
Additional considerations regarding relaxed micromorphic parameters are then analyzed. The consistency of the model is examined in relation to variations in unit cell size and base material properties. Consistency verification is performed through a standard Bloch-Floquet analysis implemented with periodic boundary conditions.
It is concluded that the dispersion curves scale proportionally with the wave speed of the base material composing the unit cell and that their behavior is inversely proportional in both angular frequency and wave number with respect to the unit cell size. These results allow optimizing fitting processes without the need to repeat extensive analyses when material properties or structure dimensions are modified.
Q2BSTUDIO constantly works on developing advanced technological tools that facilitate the implementation of sophisticated models such as the one presented in this study. Our experience in innovative solutions allows adapting these complex methodologies to the development of products and systems optimized for multiple industrial applications.
