This innovative modeling technique provides insights into the behavior and characteristics of finite-size metamaterials.

Due to the complexity of direct finite element modeling in structures made with these metamaterials, the study emphasizes the necessity for a homogenized model to avoid unsustainable computational demands.

Numerical fitting parameters are systematically detailed, validating the predictions made by the micromorphic model.

Researchers from the Technical University Dortmund and the University of Duisburg-Essen have developed a new inertia-augmented relaxed micromorphic model aimed at enhancing the performance of acoustic metamaterials.

The authors summarize their findings and suggest future research directions to further explore the capabilities and applications of these advanced materials.

Future work is proposed to refine the relaxed micromorphic model for improved accuracy in describing wave dynamics through complex materials.

Overall, the article discusses advancements in metamaterials that enhance their physical properties and broaden their applications across various fields.

The study highlights a labyrinthine metamaterial design that incorporates a polyethylene-based unit cell, achieving effective acoustic control by creating a wide band-gap at low frequencies between 600 to 2000 Hz.

The significance of tetragonal symmetry in elastic tensors is explained, illustrating how it influences the properties of these advanced metamaterials.

A key feature of the model is the introduction of a term 'Curl P' in the kinetic energy density, which allows for the description of modes with negative group velocity, potentially leading to negative refraction effects.

Utilizing polyethylene as the base material allows for lower wave speeds, enabling the occurrence of band-gap phenomena at lower frequencies compared to traditional metals like aluminum or titanium.

The research outlines four distinct horizontal asymptotes for shear and pressure waves, contrasting with previous models that included more variables.