Fractional‐order poromechanics for a fully saturated biological tissue: Biomechanics of meniscus

Abstract

AbstractBiomechanics of biological fibrous tissues as the meniscus are strongly influenced by past histories of strains involving the so‐called material hereditariness. In this paper, a three‐axial model of linear hereditariness that makes use of fractional‐order calculus is used to describe the constitutive behavior of the tissue. Fluid flow across meniscus' pores is modeled in this paper with Darcy relation yielding a novel model of fractional‐order poromechanics, describing the evolution of the diffusion phenomenon in the meniscus. A numerical application involving an 1D confined compression test is reported to show the effect of the material hereditariness on the pressure drop evolution.