SUMMARY Behavior of a poroelastic material bonded onto a vibrating plate is investigated in the low frequency range. From the analysis of dissipation mechanisms, a model accounting for damping added by the porous layer on the plate is derived. This analysis is based on a 3-D finite element formulation including poroelastic elements based on Biot displacement theory. First, dissipated powers rel...

We examine a spherically symmetric model of the brain and apply non-linear permeability in a small strain poroelastic framework. Numerical solutions to the model show that non-linear effects tend to improve predictions of ventricle wall displacement and pressure increase in acute hydrocephalus in comparison with a constant permeability model. Our model is used to study different mechanisms for ...

A mode matching method for predicting the transmission loss of a cylindrical shaped dissipative silencer partially filled with a poroelastic foam is developed. The model takes into account the solid phase elasticity of the sound-absorbing material, the mounting conditions of the foam, and the presence of a uniform mean flow in the central airway. The novelty of the proposed approach lies in the...

The wave propagation modeling in cylindrical human long dry bones with cavity is studied. The dynamic behavior of a dry long bones that has been modeled as a piezoelectric hollow cylinder of crystal class 6 is investigated. An analytic solutions for this mechanical wave propagation in a long dry bones have been obtained for the flexural vibrations. The frequency equation for poroelastic bones i...

Recently, a wave based method was developed to efficiently model the harmonic behavior of poroelastic materials. This novel method relaxes the frequency limitations of the finite element method by using exact solutions of the governing equations to approximate the field variables. However, in the case that the stress fields exhibit a singularity, the Wave Based Method suffers from convergence p...

Lung radiotherapy is greatly benefitted when the tumor motion caused by breathing can be modeled. The aim of this paper is to present the importance of using anisotropic and subject-specific tissue elasticity for simulating the airflow inside the lungs. A computational-fluid-dynamics (CFD) based approach is presented to simulate airflow inside a subject-specific deformable lung for modeling lun...

We present and analyze a high-order discontinuous Galerkin method for the space discretization of wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids. Stability analysis $hp$-version error estimates suitable energy norms are derived semi-discrete problem. fully-discrete is then obtained based on employing an implicit Newmark-$\beta$ time inte...

We study the interaction between a poroelastic medium and a fracture filled with fluid. The flow in the fracture is described by the Brinkman equations for an incompressible fluid and the poroelastic medium by the quasi-static Biot model. The two models are fully coupled via the kinematic and dynamic conditions. The Brinkman equations are then averaged over the cross-sections, giving rise to a ...

A one-dimensionalmodel of an in vitro experiment, inwhich a specimen of cancellous bone is immersed in water and insonified by an ultrasonic pulse, is considered. Themodification of the poroelastic model of Biot due to Johnson et al. [D.L. Johnson, J. Koplik, R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, J. Fluid Mech. 176 (1987) 379–402] is used for ...

The fibril reinforced poroelastic models have been found successful in describing some mechanical behaviors of articular cartilage in unconfined compression that were not understood previously, including the strong and nonlinear transient response, the strain-magnitude and strain-rate dependent cartilage stiffness and the depth-varying stresses and strains. It has been demonstrated that a bette...