Coupling of fictitious domain methods and the boundary element method for the analysis of acoustic metamaterials

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This project proposal focuses on innovative acoustic metamaterials. These are, for example, acoustically effective foam materials in which local resonance effects are to be produced by additionally introduced solids with high rigidity. In this way it should be achieved that the insulating or damping effect of these materials is significantly improved, especially in the low-frequency range.However, so far there are no general guidelines on how to design an acoustic metamaterial in order to achieve the best possible and in particular a broadband effect. For this reason, the proposed project aims to develop a simulation methodology, which can be used for an extensive analysis of the mechanisms, influencing factors and design parameters as well as the topology optimization of acoustic metamaterials in further studies. For the vibroacoustic analysis a coupling of the Finite Cell Method (FCM) and the boundary element method (BEM) will be developed. The FCM will be used for structural dynamics calculations to consider the heterogeneous structure of the metamaterials adequately and efficiently. For the evaluation of different acoustic metamaterials, the resulting sound pressure in the surrounding air volume as well as the radiated sound power is used. The calculation of the sound emission takes place with the aid of the BEM, since this is an efficient possibility for the calculation of the acoustic field, in particular for the evaluation in the far field in comparison to volume discretizing methods. As part of the project, the benefits of high-order shape functions will also be exploited. After successful implementation, commercial FE-based calculation programs, analytical reference solutions and experimental investigations will be used to verify and validate the developed methods.