Abstract
Porous materials are widely used nowadays as part of the insulation systems in the automotive industry or as effective sound absorbers in other areas, such as architecture. Their complex dynamic behavior is due to the various interaction phenomena within the elastic porous material. Such materials have been effectively modeled thanks to the original work of Biot. In the work reported here, the classical Biot theory for elastic porous materials is used for the development of a new three-dimensional finite element. While the finite-element development remains classical, a new numerical implementation is proposed. This new approach allows very fast computation times compared to the approaches existing in the literature. The finite element developed is general and suitable for any type of finite-size, extended-reaction porous material, with any boundary conditions. Comparisons are made using solutions found in the literature, along with a fine analysis of different aspects of the vibroacoustic behavior of porous materials.
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