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

  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},
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
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.
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
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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Tissue inhomogeneity appears to have a larger effect on fluid pressure retention in this tissue sample and on the advantageous pressure distribution and the utility of the proposed 3D biphasic constitutive model is demonstrated.
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A hyperviscoelastic (dispersed) fiber-reinforced constitutive model is employed to complete two specimen-specific finite element (FE) simulations of an indentation experiment, with and without considering fiber dispersion.
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A structural continuum framework that is able to represent the dispersion of the collagen fibre orientation is developed and allows the development of a new hyperelastic free-energy function that is particularly suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls.
Modeling the matrix of articular cartilage using a continuous fiber angular distribution predicts many observed phenomena.
The main picture emerging from this analysis is that the anisotropy of the fibrillar matrix of articular cartilage is intimately dependent on the mechanism of tensed fiber recruitment, in the manner suggested by the recent theoretical study.
The role of viscoelasticity of collagen fibers in articular cartilage: theory and numerical formulation.
Collagen viscoelasticity appears to play an import role in articular cartilage in tensile testing, while fluid pressurization dominates the transient mechanical behavior in compression.
A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models
In this paper we develop a new constitutive law for the description of the (passive) mechanical response of arterial tissue. The artery is modeled as a thick-walled nonlinearly elastic circular
On the anisotropy and inhomogeneity of permeability in articular cartilage
The permeability of cartilage is expressed to express for the microstructural anisotropy and inhomogeneity caused by the collagen fibres, independent of the state of strain, which is consistent with the morphology of the tissue.
The role of flow-independent viscoelasticity in the biphasic tensile and compressive responses of articular cartilage.
It was found that a simultaneous prediction of compression and tension experiments of articular cartilage, under stress-relaxation and dynamic loading, can be achieved when properly taking into account both flow-dependent and flow-independent viscoelasticity effects, as well as tension-compression nonlinearity.