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A Formulation for Fluid-Structure Interactions in febio Using Mixture Theory.

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A new fluid-structure interaction (FSI) solver was implemented in FEBio, enhancing biomechanical modeling. This solver accurately simulates complex fluid and solid interactions, crucial for physiological systems.

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Area of Science:

  • Biomechanics
  • Multiphysics Modeling
  • Computational Fluid Dynamics

Background:

  • Physiological systems often involve complex fluid-solid interactions, presenting modeling challenges.
  • Existing biomechanical modeling tools require enhanced capabilities for simulating these coupled phenomena.

Purpose of the Study:

  • To implement a novel fluid-structure interaction (FSI) solver within the FEBio finite element code.
  • To combine existing solid mechanics and rigid body dynamics solvers with a computational fluid dynamics (CFD) solver.

Main Methods:

  • A Galerkin-based finite element FSI formulation using mixture theory was developed.
  • The FSI domain was modeled as a mixture of fluid and solid constituents with distinct motions.
  • The fluid was modeled as isothermal and compressible, while the solid mesh had specialized properties.

Main Results:

  • The FSI solver was successfully verified against benchmark problems and an analytical solution.
  • Validation was achieved through experimental measurements of peristaltic pump flow rate.
  • The solver demonstrated capability in simulating non-Newtonian blood flow in a carotid artery model.

Conclusions:

  • The implemented FSI solver enhances FEBio's multiphysics modeling capabilities for biomechanics and biophysics.
  • This advancement facilitates more accurate simulations of physiological fluid-solid interactions.
  • The novel formulation offers a robust and efficient approach to FSI problems without requiring stabilization methods.