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COBEM 2021
26th International Congress of Mechanical Engineering
ON FIXED-STRESS AND FIXED-STRAIN SOLUTION SCHEMES FOR LARGE STRAIN POROELASTICITY APPLIED TO SOFT BIOLOGICAL TISSUES
Submission Author:
José Luís Medeiros Thiesen , SC
Co-Authors:
José Luís Medeiros Thiesen, Bruno Klahr, Thiago André Carniel, Eduardo Fancello
Presenter: José Luís Medeiros Thiesen
doi://10.26678/ABCM.COBEM2021.COB2021-1244
Abstract
Biological fibrous tissues such as tendon, ligaments and intervertebral discs are highly hydrated structures. Since these connective tissues are, in the most cases, poorly vascularized, diffusive mechanisms have been hypothesized to be the primary form of mass transport of nutrients into cells within the tissue. The interstitial fluid flow through those tissues gives rise to dissipation micromechanisms that can be investigated using poroelastic theories. The interactions between the fluid flow and the solid mechanics have been modelled using different types of coupling schemes to solve both mechanical equilibrium and mass balance equations. In the fully-implicit scheme, the governing equations are solved simultaneously at every time step. Iteratively-coupled methods consists of an inner iterative loop at each time step, solving the mechanical and the fluid flow problem separately until the solution reaches an acceptable convergence criterion. This work proposes to investigate of the fixed-stress and the fixed-strain iteratively-coupled approaches to solve the biphasic problem at finite strains. The main goal of this research is to apply these schemes on the investigation of the interstitial fluid flow within the tendon’s microstructure, which may shad light about diffusion of nutrients and their relations with the mechanobiology of tendons.
Keywords
Finite Element Method, Poromechanics, Iteratively Coupled Schemes, Soft Tissues
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