Solving New Poroelastic Models by Finite Element Method

This communication deals with the numerical solution of the acoustical behavior of elastic porous materials. Assuming a periodic structure, we use new poroelastic models obtained by homogenization techniques. In order to compute the coefficients in these new models, we solve boundary-value problems in the unitary cell. Finally, we focus our attention on non-dissipative poroelastic materials with open pore and propose a finite element method in order to compute the response to a harmonic excitation of a three-dimensional enclosure containing a free fluid and a poroelastic material. The finite element used for the fluid is the lowest order face element introduced by Raviart and Thomas that avoids the spurious modes whereas, for displacements in porous medium, the “mini element” is used in order to achieve stability of the method.