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 language | English |
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Article number | e3732 |
Number of pages | 20 |
Journal | International Journal for Numerical Methods in Biomedical Engineering |
Volume | 39 |
Issue number | 11 |
Early online date | 1 May 2023 |
DOIs | |
Publication status | Published - Nov 2023 |
Keywords
- fractional calculus
- fractional-order hereditariness
- meniscus
- pore pressure
- poromechanics
- CALCULUS
- LAW
- HEREDITARINESS
- RELAXATION
- DIFFUSION
- MODELS