Modeling of multilayered structures including porous materials using hierarchical elements and non coincident meshes

S. Rigobert, F. Sgard, N. Atalla

Abstract


The coupling of mixed displacement-pressure formulation using hierarchical elements with a finite element plate modeling of an elastic domain assuming non-coincident meshes can be done. It can be used to predict the mean quadratic velocity and the transmission loss of a plate coated with porous materials. The results are very accurate and are with a reduced number of unknowns as compared to classical finite element modeling of the structure with the coincident meshes.

Keywords


Degrees of freedom (mechanics); Elastic moduli; Finite element method; Hierarchical systems; Mathematical models; Porous materials; Acoustical excitation; Hierarchical poroelastic elements; Mixed displacement-pressure formulation

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