6533b7d5fe1ef96bd1263c42

RESEARCH PRODUCT

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

Fabiana AmiriEmanuela BolognaGianmarco NuzzoLorenzo MoroniMassimiliano Zingales

subject

Applied MathematicsPoromechanicMODELSfractional-order hereditarinessBiomedical EngineeringporomechanicsRELAXATIONfractional calculusCALCULUSDIFFUSIONpore pressureComputational Theory and MathematicsmeniscusModeling and SimulationHEREDITARINESSmeniscuSettore ICAR/08 - Scienza Delle CostruzioniMolecular BiologyLAWSoftware

description

Biomechanics 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.

yearjournalcountryeditionlanguage
2023-05-01
10.1002/cnm.3732https://hdl.handle.net/10447/590651