In the world of metamaterials, the development of mathematical models that allow understanding their behavior is essential for their application in technology and engineering. This article addresses relaxed micromorphic modeling applied to finite-size metamaterials, exploring how parameters can be adjusted to obtain better results in terms of dispersion and acoustic control.
One of the approaches studied is the use of polyethylene-based metamaterials for acoustic control, analyzing their mechanical properties and how they can be effectively modeled. Through different models and approximations, the aim is to optimize their response and improve their applicability in various fields of engineering.
Relaxed micromorphic modeling is presented as a powerful tool for understanding the interactions within these materials. Throughout the study, different configurations and adjustments in model parameters are presented to improve their accuracy. Aspects such as tetragonal symmetry and the shape of elastic tensors in Voigt notation are explored to determine their impact on the final results.
Likewise, the relationship between the coefficients of dispersion curves with and without certain curvature terms is explored in depth, providing detailed information on the consistency of these models as a function of variations in the base material properties and unit cell size.
At Q2BSTUDIO, a company specialized in development and technological services, we understand the importance of advances in material modeling for various applications. Our team of experts constantly works on innovative solutions that integrate the latest discoveries in technology and digital transformation. With the implementation of advanced models such as those presented in this article, at Q2BSTUDIO we seek to optimize processes and offer technological tools that drive development in multiple sectors.
The results obtained in this study highlight the relevance of precise modeling in advanced materials and offer a starting point for future research in the field of metamaterials. As technology advances, the integration of this knowledge into various industrial applications will be key to the development of innovative solutions.




