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Validity of the limp model for porous materials: a criterion based on the Biot theory.
The validity of using the limp model for porous materials is addressed in this paper. The limp model is derived from the poroelastic Biot model assuming that the frame has no bulk stiffness. Being anExpand
An alternative Biot's displacement formulation for porous materials.
This paper proposes an alternative displacement formulation of Biot's linear model for poroelastic materials. Its advantage is a simplification of the formalism without making any additionalExpand
Enhancing the absorption coefficient of a backed rigid frame porous layer by embedding circular periodic inclusions.
The acoustic properties of a porous sheet of medium static air flow resistivity (around 10,000 N m s(-4)), in which a periodic set of circular inclusions is embedded and which is backed by a rigidExpand
Absorption of sound by porous layers with embedded periodic arrays of resonant inclusions.
The aim of this work is to design a layer of porous material with a high value of the absorption coefficient in a wide range of frequencies. It is shown that low frequency performance can beExpand
Enhancing the absorption properties of acoustic porous plates by periodically embedding Helmholtz resonators.
This paper studies the acoustical properties of hard-backed porous layers with periodically embedded air filled Helmholtz resonators. It is demonstrated that some enhancements in the acousticExpand
Propagation of acoustic waves in a one-dimensional macroscopically inhomogeneous poroelastic material.
Wave propagation in macroscopically inhomogeneous porous materials has received much attention in recent years. The wave equation, derived from the alternative formulation of Biot's theory of 1962,Expand
Nonlinear Biot waves in porous media with application to unconsolidated granular media.
  • O. Dazel, V. Tournat
  • Materials Science, Medicine
  • The Journal of the Acoustical Society of America
  • 5 February 2010
The nonlinear propagation through porous media is investigated in the framework of Biot theory. For illustration, and considering the current interest for the determination of the elastic propertiesExpand
A description of transversely isotropic sound absorbing porous materials by transfer matrices.
A description of wave propagation in transversely isotropic porous materials saturated by air with a recent reformulation of the Biot theory is carried out. The description is performed in terms of aExpand
Using simple shape three-dimensional rigid inclusions to enhance porous layer absorption.
The absorption properties of a metaporous material made of non-resonant simple shape three-dimensional rigid inclusions (cube, cylinder, sphere, cone, and ring torus) embedded in a rigidly backedExpand
Enhanced Biot's Finite Element Displacement Formulation for Porous Materials and Original Resolution Methods Based on Normal Modes
The use of finite element modeling for porous sound absorbing materials is often limited by the numerical cost of the resolution scheme. To overcome this limitation, an alternative finite elementExpand