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MASSIMILIANO ZINGALES

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

  • Autori: Amiri, Fabiana; Bologna, Emanuela; Nuzzo, Gianmarco; Moroni, Lorenzo; Zingales, Massimiliano
  • Anno di pubblicazione: 2023
  • Tipologia: Articolo in rivista
  • OA Link: http://hdl.handle.net/10447/590651

Abstract

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.