Hydro-mechanical coupling in the periodontal ligament: a porohyperelastic finite element model
| Autor: | Marzio Bergomi, H. W. Anselm Wiskott, Matteo Galli, John Botsis, Joël Cugnoni, Urs C. Belser |
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| Rok vydání: | 2010 |
| Předmět: |
Materials science
Compressive Strength Periodontal Ligament Poromechanics Finite Element Analysis Biomedical Engineering Biophysics In Vitro Techniques Models Biological Permeability stomatognathic system Animals Orthopedics and Sports Medicine Geotechnical engineering Computer Simulation Tension (physics) Rehabilitation Extracellular Fluid Mechanics Compression (physics) Finite element method Elasticity Biomechanical Phenomena Permeability (earth sciences) Hyperelastic material Compressibility Hydrodynamics Cattle Stress Mechanical Deformation (engineering) Porosity |
| Zdroj: | Journal of biomechanics. 44(1) |
| ISSN: | 1873-2380 |
| Popis: | Harmonic tension–compression tests at 0.1, 0.5 and 1 Hz on hydrated bovine periodontal ligament (PDL) were numerically simulated. The process was modeled by finite elements (FE) within the framework of poromechanics, with the objective of isolating the contributions of the solid- and fluid phases. The solid matrix was modeled as a porous hyperelastic material (hyperfoam) through which the incompressible fluid filling the pores flowed in accordance with the Darcy’s law. The hydro-mechanical coupling between the porous solid matrix and the fluid phase circulating through it provided an apparent time-dependent response to the PDL, whose rate of deformation depended on the permeability of the porous solid with respect to the interstitial fluid. Since the PDL was subjected to significant deformations, finite strains were taken into account and an exponential dependence of PDL permeability on void ratio – and therefore on the deformation state – was assumed. PDL constitutive parameters were identified by fitting the simulated response to the experimental data for the tests at 1 Hz. The values thus obtained were then used to simulate the tests at 0.1 and 0.5 Hz. The results of the present simulation demonstrate that a porohyperelastic model with variable permeability is able to describe the two main aspects of the PDL’s response: (1) the dependency on strain-rate—the saturated material can develop volumetric strains by only exchanging fluid and (2) the asymmetry between tension and compression, which is due to the effect of both the permeability and the elastic properties on deformation. |
| Databáze: | OpenAIRE |
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