Related Experiment Video
Updated: Aug 30, 2026

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
Published on: May 18, 2015
Investigation of the convergence of the mixed displacement-pressure formulation for three-dimensional poroelastic
S Rigobert1, N Atalla, F C Sgard
1Laboratoire des Sciences de l'Habitat, DGCB URA CNRS 1652, Ecole Nationale des Travaux Publics de l'Etat, 69518 Vaulx-en-Velin Cedex, France.
Abstract:
Recently, a mixed pressure displacement [u, P] formulation based on Biot's poroelasticity equations has been presented for porous materials. This model leads to a reduction of the number of degrees of freedom required for the modeling of three-dimensional porous media in comparison to classical displacement-displacement [u, U] formulations. In this paper, an extension of the [u, P] formulation based on hierarchical elements is presented. First, a variant of the weak integral form of the [u, P] formulation is presented and its numerical implementation using hierarchical elements is detailed, together with the application of boundary and loading conditions. Numerical results are presented to show the accuracy and performance of the present approach. In particular, the importance of correctly capturing the coupling effects between the two phases is highlighted.
Related Concept Videos
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Three-Dimensional Analysis of Strain
Generalized Hooke's Law
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Members Made of Elastoplastic Material
As the bending moment...
Concept of Pressure at a Point
In a fluid at rest, pressure acts equally in...
