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...

This paper deals with a computational strategy suitable for the simulation of multiphysics problems, based on the Large Time INcrement (LATIN) method. The simulation of such problems must encounter the possible different time and space scales which usually arise with the different physics. Herein, we focus on using different time and space discretizations for each physics by introducing an inte...

A particle velocity-strain, finite-difference (FD) method with a perfectly matched layer (PML) absorbing boundary condition is developed for the simulation of elastic wave propagation in multidimensional heterogeneous poroelastic media. Instead of the widely used second-order differential equations, a first-order hyperbolic leap-frog system is obtained from Biot's equations. To achieve a high a...

The modern biomechanical two-phase poroelastic model of bone tissue is presented. Bone tissue is treated in this model as a porous elastically deformed solid filled with a viscous newtonian fluid. Traditional one-phase biomechanical model of bone tissue, which is characterized by the Young modulus and the Poisson's coefficient, is still valid and it can be treated as an approximate model in com...