Journal ArticleDOI
Diffusion of a fluid through an anisotropic thick spherical shell
F. Dai,Kumbakonam R. Rajagopal +1 more
TLDR
In this article, the effects of the anisotropy of the material and the pre-stretching on the process of diffusion were studied and the non-linear equations governing the diffusion through the shell were solved numerically.Abstract:
The problem of radial diffusion of a fluid through a transversely isotropic non-linearly elastic thick spherical shell is studied. The anisotropic shell is also pre-stretched radially. The non-linear equations governing the diffusion through the shell are solved numerically. The effects of the anisotropy of the material and the pre-stretching on the process of diffusion are studied.read more
Citations
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On a hierarchy of approximate models for flows of incompressible fluids through porous solids
TL;DR: The celebrated equations due to Fick and Darcy are approximations that can be obtained systematically on the basis of numerous assumptions within the context of mixture theory; the equations however not having been developed in such a manner by Fick or Darcy.
Journal ArticleDOI
Structure of the dependence of Darcy and Forchheimer coefficients on porosity
TL;DR: In this paper, the coefficients of the Darcy and Forchheimer terms are analyzed as functions of the porosity of a saturated porous medium and it is proved that the solution to flow in a Forchheimen porous material depends continuously on changes in the porosities.
Journal ArticleDOI
Wave propagation in elastic solids infused with fluids
Kumbakonam R. Rajagopal,L. Tao +1 more
TL;DR: In this article, the propagation of transverse plane waves, longitudinal waves and spherical waves in both isotropic and transversely-isotropic elastic solids infused with a fluid was studied.
Journal ArticleDOI
Axisymmetric deformation of poroelastic shells of revolution
TL;DR: In this article, a linear theory for axisymmetric deformation of thin poroelastic shells of revolution is developed for cylindrical shells with an oscillating internal pressure and various surface boundary conditions.
Modeling in cardiovascular biomechanics
TL;DR: The theory of bodies who possess multiple natural configurations that evolve maximizing the rate of dissipation is concluded, which for biological tissues in particular, has yet to be employed to its full potential.
References
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Journal ArticleDOI
Pressure-induced diffusion of organic liquids through highly swollen polymer membranes
Donald R Paul,O. M. Ebra-Lima +1 more
Journal ArticleDOI
Incompressible mixtures of newtonian fluids
TL;DR: In this paper, the constitutive equations for an incompressible mixture of Newtonian fluids using an entropy production inequality are derived, which involve the introduction of an arbitrary hydrostatic pressure.
Journal ArticleDOI
On boundary conditions for a certain class of problems in mixture theory
TL;DR: In this article, an additional boundary condition for solid-fluid mixtures is proposed for the situation in which a mixture boundary is in a saturated state, derived from a thermodynamic characterization of the state and taking the form of a relationship between the total stress tensor, the stretch tensor and the volume fraction of the solid.
Journal ArticleDOI
Applications of the theory of interacting continua to the diffusion of a fluid through a non-linear elastic media
TL;DR: In this article, the theory of interacting continua is applied to the problem of diffusiion of a fluid through a non-linear elastic layer and a hollow sphere, and restrictions are derived from a thermodynamic standpoint for the partial stresses for the fluid and solid and the diffusive body force.
Journal ArticleDOI
Some nonlinear diffusion problems within the context of the theory of interacting continua
TL;DR: In this paper, the boundary conditions for radial diffusion of a fluid through a hollow non-linear cylinder and the diffusion through a sheared nonlinear elastic layer are studied in detail, and it is found that shearing and stretching have qualitatively different effects on the diffusion process.