4.7 Article

The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials

Journal

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 83, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.euromechsol.2020.103996

Keywords

Poroelasticity; Finite element method; Poroelastography; Asymptotic homogenisation; Multiscale modelling; Micromechanics

Categories

Funding

  1. EPSRC [EP/S030875/1]
  2. EPSRC [EP/S030875/1] Funding Source: UKRI
  3. MRC [MC_PC_17178] Funding Source: UKRI

Ask authors/readers for more resources

We present the macroscale three-dimensional numerical solution of anisotropic Biot's poroelasticity, with coefficients derived from a micromechanical analysis as prescribed by the asymptotic homogenisation technique. The system of partial differential equations (PDEs) is discretised by finite elements, exploiting a formal analogy with the fully coupled thermal displacement systems of PDEs implemented in the commercial software Abaqus. The robustness of our computational framework is confirmed by comparison with the well-known analytical solution of the one-dimensional Therzaghi's consolidation problem. We then perform three-dimensional numerical simulations of the model in a sphere (representing a biological tissue) by applying a given constant pressure in the cavity. We investigate how the macroscale radial displacements (as well as pressures) profiles are affected by the microscale solid matrix compressibility (MSMC). Our results suggest that the role of the MSMC on the macroscale displacements becomes more and more prominent by increasing the length of the time interval during which the constant pressure is applied. As such, we suggest that parameter estimation based on techniques such as poroelastography (which are commonly used in the context of biological tissues, such as the brain, as well as solid tumours) should allow for a sufficiently long time in order to give a more accurate estimation of the mechanical properties of tissues.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available