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

Fabiana Amiri, Emanuela Bologna*, Gianmarco Nuzzo, Lorenzo Moroni, Massimiliano Zingales

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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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.
Original languageEnglish
Article numbere3732
Number of pages20
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Volume39
Issue number11
Early online date1 May 2023
DOIs
Publication statusPublished - Nov 2023

Keywords

  • fractional calculus
  • fractional-order hereditariness
  • meniscus
  • pore pressure
  • poromechanics
  • CALCULUS
  • LAW
  • HEREDITARINESS
  • RELAXATION
  • DIFFUSION
  • MODELS

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