A microstructurally based continuum model of cartilage viscoelasticity and permeability incorporating measured statistical fiber orientations

@article{Pierce2016AMB,
  title={A microstructurally based continuum model of cartilage viscoelasticity and permeability incorporating measured statistical fiber orientations},
  author={David M. Pierce and Michael J. Unterberger and Werner Trobin and Tim Ricken and Gerhard A. Holzapfel},
  journal={Biomechanics and Modeling in Mechanobiology},
  year={2016},
  volume={15},
  pages={229-244}
}
The remarkable mechanical properties of cartilage derive from an interplay of isotropically distributed, densely packed and negatively charged proteoglycans; a highly anisotropic and inhomogeneously oriented fiber network of collagens; and an interstitial electrolytic fluid. We propose a new 3D finite strain constitutive model capable of simultaneously addressing both solid (reinforcement) and fluid (permeability) dependence of the tissue’s mechanical response on the patient-specific collagen… 
A novel computational modelling to describe the anisotropic, remodelling and reorientation behaviour of collagen fibrres in articular cartilage
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Considering the effect of realistic collagen fibre reorientation in the cartilage tissue, the remodelling algorithm associated with a distribution of fibres model showed accurate results with few numerical calculations.
Anisotropic Diffusivity Tensor in Articular Cartilage: Effective Medium Approach.
TLDR
A model for the determination of the diffusivity tensor of uncharged macromolecules in articular cartilage, accounting for the inhomogeneity and anisotropy arising from fibre arrangement, volumetric fraction and radius is proposed.
Chemomechanical models for soft tissues based on the reconciliation of porous media and swelling polymer theories
  • A. StracuzziE. MazzaA. Ehret
  • Biology
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • 2018
TLDR
A lean theoretical framework for the modelling of biphasic chemomechanical effects in soft biological tissues is presented, which provides access to fluid flux, variations in chemical potential and osmotic pressure in addition to stress and strain in the tissue.
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