On the quasi-static effective behaviour of poroelastic media containing elastic inclusions

Abstract The aim of the present study is to derive the effective quasi-static behaviour of a composite medium, made of a poroelastic matrix containing elastic impervious inclusions. For this purpose, the asymptotic homogenisation method is used. On the local scale, the governing equations include Biot’s model of poroelasticity in the porous matrix and Navier equations in the inclusions, with elastic properties of the same order of magnitude. Biot’s diphasic model of poroelasticity is obtained on the macroscopic scale, but with effective parameters that are strongly impacted by the distribution of inclusions, even at low volume fraction. The impact on fluid flow is strictly geometrical, showing that the inclusions do not play the role of a porous network.

• Publication year

  2018

• Venue

  Mechanics research communications

• Publication date

  2018-11-21

• Fields of study

  Materials Science, Physics, Engineering

• Identifiers
  DOI 10.1016/j.mechrescom.2019.02.004arXiv 1811.08896
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A coupled approach for fluid saturated poroelastic media and immersed solids for modeling cell‐tissue interactions

  2018cited by this paper
• The asymptotic homogenization elasticity tensor properties for composites with material discontinuities

  2017cited by this paper
• A non-equilibrium thermodynamic model for tumor extracellular matrix with enzymatic degradation

  2017cited by this paper
• Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering

  2017cited by this paper
• A micromechanical model for porous materials with a reinforced matrix

  2016cited by this paper
• On models of double porosity poroelastic media

  2015cited by this paper
• Time Analysis of the Three Characteristic Behaviours of Dual-Porosity Media. I: Fluid Flow and Solute Transport

  2012cited by this paper
• ON THE INTERFACE LAW BETWEEN A DEFORMABLE POROUS MEDIUM CONTAINING A VISCOUS FLUID AND AN ELASTIC BODY

  2012cited by this paper
• On the interface law between a deformable porous medium containing a viscous fluid and an elastic body∗

  2011cited by this paper
• Reinforcing silk scaffolds with silk particles.

  2010cited by this paper
• Homogenisation of advective–diffusive transport in poroelastic media

  2010cited by this paper
• On the permeability of fibre-reinforced porous materials

  2008cited by this paper
• Diffusion–Convection in a Porous Medium with Impervious Inclusions at Low Flow Rates

  2003cited by this paper
• Mechanobiology of soft skeletal tissue differentiation—a computational approach of a fiber-reinforced poroelastic model based on homogeneous and isotropic simplifications

  2003cited by this paper
• Effect of Inclusions on Friction Coefficient of Highly Filled Composite Materials

  2002influential reference
• DEFORMATION OF SPHERICAL CAVITIES AND INCLUSIONS IN FLUID-INFILTRATED ELASTIC MATERIALS

  2002cited by this paper
• Generalization of Eshelby's Formula for a Single Ellipsoidal Elastic Inclusion to Poroelasticity and Thermoelasticity

  1997cited by this paper
• Non-Homogeneous Media and Vibration Theory

  1980cited by this paper
• Asymptotic analysis for periodic structures

  1979cited by this paper
• Deformation of spherical cavities and inclusions in fluid-infiltrated elastic materials

  1978cited by this paper
• THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID

  1955cited by this paper

• Mathematical modeling and homogenization of thin fiber-reinforced hydrogels

  2025cites this paper
• Unfitted finite element modelling of surface-bulk viscous flows in animal cells

  2025cites this paper
• Homogenized multiscale modelling of an electrically active double poroelastic material representing the myocardium

  2025cites this paper
• Homogenized modelling of the electro-mechanical behaviour of a vascularised poroelastic composite representing the myocardium

  2024cites this paper
• Investigating the effects of microstructural changes induced by myocardial infarction on the elastic parameters of the heart

  2023cites this paper
• The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues

  2023cites this paper
• Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials

  2022cites this paper
• Micromechanical analysis of the effective stiffness of poroelastic composites

  2022cites this paper
• Double poroelasticity derived from the microstructure

  2021influential citation
• Viscoelastic Properties in Cancer: From Cells to Spheroids

  2021cites this paper
• Effective balance equations for poroelastic composites

  2020cites this paper
• Effective balance equations for poroelastic composites

  2020cites this paper
• Multiple Scale Homogenisation of Nutrient Movement and Crop Growth in Partially Saturated Soil

  2019cites this paper