Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach
A filtration system comprising a Biot poroelastic solid coupled to an incompressible Stokes
free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman …
free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman …
Mathematical effects of linear visco-elasticity in quasi-static Biot models
We investigate and clarify the mathematical properties of linear poro-elastic systems in the
presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quantify the time …
presence of classical (linear, Kelvin-Voigt) visco-elasticity. In particular, we quantify the time …
Fixed stress splitting approach for contact problems in a porous medium
We consider a poromechanics model including frictionless contact mechanics. The resulting
model consists of the Biot equations with contact boundary conditions leading to a …
model consists of the Biot equations with contact boundary conditions leading to a …
Semilinear Degenerate Biot–Signorini System
Nonlinear extensions of the quasi-static Biot model of consolidation are studied with
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …
emphasis on boundary conditions, attainment of initial values, and parabolic regularizing …
Numerical solution of the Biot/elasticity interface problem using virtual element methods
We propose, analyse and implement a virtual element discretisation for an interfacial
poroelasticity/elasticity consolidation problem. The formulation of the time–dependent …
poroelasticity/elasticity consolidation problem. The formulation of the time–dependent …
The Mathematical Effects of Visco-elasticity in Quasi-static Biot Models
We investigate and clarify the mathematical properties of linear poro-elastic systems
(quasistatic Biot) with the addition of classical visco-elasticity. We precisely demonstrate the …
(quasistatic Biot) with the addition of classical visco-elasticity. We precisely demonstrate the …
The Biot System with Unilateral Displacement Constraints
A Hosseinkhan - 2022 - ir.library.oregonstate.edu
A fully-saturated poroelastic medium is confined by the sides of a cylinder, and the regions
below and above the medium are filled with fluid at respective constant pressures. The …
below and above the medium are filled with fluid at respective constant pressures. The …