In this article, we explore the fundamentals of polyethylene-based metamaterials for acoustic control. The relaxed micromorphic modeling of finite-size metamaterials and its application in the design of advanced structures with enhanced acoustic properties are analyzed. Additionally, dispersion curves and new considerations regarding the parameters of the relaxed micromorphic model are presented, ensuring their consistency with respect to changes in the base material properties and unit cell size.
The study also delves into the tuning of the relaxed micromorphic model parameters, focusing on specific cases where curvature terms are discarded. Asymptotes are presented, and the importance of the relationship of these values with the periodicity of the Bloch-Floquet analysis is discussed. Through this methodology, the metamaterial band gap is preserved.
The adjustments made begin with the macroscopic apparent density and macro elastic parameters, essential for the homogenization of infinitely large micromorphic materials. Then, analytical expressions are used to calculate the corresponding values of the model parameters, ensuring an accurate approximation in the description of the dispersion curves.
In the discussion, it is highlighted that the relaxed micromorphic model offers high accuracy for specific frequencies and wave numbers. However, for incidence angles of 45 degrees, a slight loss of accuracy is observed for high k values. This suggests the need to further generalize the model, which will be the subject of future research. Despite this, the achieved accuracy allows for a detailed exploration of the dispersive characteristics of the metamaterial.
Q2BSTUDIO, a leading company in development and technological services, is at the forefront of innovation in modeling and simulation of advanced materials. With a highly trained team, we provide technological solutions for various industries, optimizing processes and developing tools that enable improved design and manufacturing of high-performance products. Our focus is on applying new methodologies to maximize efficiency and accuracy in the simulation of materials such as those studied in this work.
The analysis carried out in this article underscores the importance of relaxed micromorphic models in the development of new acoustic control technologies. Research continues to evolve, and at Q2BSTUDIO, we are committed to continuing to explore and implement these innovations in real solutions for our clients.
