Porous Materials with Statistically Oriented Reinforcing Fibres

Abstract

A starting point for modelling biological tissues is to represent them as biphasic continua, with a porous solid phase saturated by an interstitial fluid and reinforced by collagen fibres. In this chapter, modelling techniques for fibre-reinforced composite materials with statistical orientation of the fibres are presented in the monophasic case (solid only), and in the biphasic case (incompressible solid and fluid phases). Both the elastic potential and the permeability are evaluated under large deformations, and hints for the numerical implementation of these models are given throughout.