A Poroelastic-Swelling Finite Element Model With Application to the Intervertebral Disc

Laible, Jeffrey P.; Pflaster, Daniel S.; Krag, Martin H.; Simon, B. R.; Haugh, Larry D.

doi:10.1097/00007632-199304000-00019

Cited by 98 publications

(47 citation statements)

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“…[9][10][11]), the biphasic/ biphasic-swelling model (e.g., Refs. [12][13][14][15][16][17]), and multiphasic mechano-electrochemical model [18][19][20]. The single-phase model treats the NP as an ideal fluid and the AF as a solid, which cannot characterize the interstitial fluid flow in the AF and swelling pressure [9].…”

Section: Introductionmentioning

confidence: 99%

An Anisotropic Multiphysics Model for Intervertebral Disk

Gao

Zhu

2015

Journal of Applied Mechanics

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Intervertebral disk (IVD) is the largest avascular structure in human body, consisting of three types of charged hydrated soft tissues. Its mechanical behavior is nonlinear and anisotropic, due mainly to nonlinear interactions among different constituents within tissues. In this study, a more realistic anisotropic multiphysics model was developed based on the continuum mixture theory and employed to characterize the couplings of multiple physical fields in the IVD. Numerical simulations demonstrate that this model is capable of systematically predicting the mechanical and electrochemical signals within the disk under various loading conditions, which is essential in understanding the mechanobiology of IVD.

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Section: Introductionmentioning

confidence: 99%

An Anisotropic Multiphysics Model for Intervertebral Disk

Gao

Zhu

2015

Journal of Applied Mechanics

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“…Others used poro-elastic FE models to simulate aging degeneration. [11][12][13][14] Most of these studies concluded that the highest risk of disc prolapse was found in mildly degenerated young discs, however there are no answer to the question why.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of long-time aging and sudden accidental degeneration of lumbar spine segments in compression

Kovács¹,

Oroszváry²

2013

Biomech Hung

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Abstract3D finite element analysis of long term aging and sudden accidental degeneration processes is presented for physiologic compression load. A systematic modeling and simulation is applied for analyzing the separated and mutual effect of certain material moduli of the components of lumbar motion segments on the mechanical behaviour and stability of the segment during the long time and sudden degeneration processes. It was concluded that due to their smallest stiffness the younger segments with light degeneration are the most vulnerable during both the long-time age-related and the sudden overload-related degeneration.

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“…Following this, only the solid skeleton is extended by the almost volume-free, fixed negative charges, and a constitutively computed osmotic pressure is added to the hydraulic pressure. This procedure is adopted in the context of a two-phase model by Ehlers et al [24,25], Hsieh et al [33], Iatridis et al [37] or Laible et al [42]. A comparison of the two approaches yields a fairly good approximation of the simplified model, cf.…”

Section: Introductionmentioning

confidence: 99%

Advances in modelling saturated soft biological tissues and chemically active gels

2009

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Swelling-active materials are numerous and can be found in many applications regarding geotechnical, biological or chemical problems. In general, these materials consist of a charged solid skeleton which is saturated by a fluid mixture containing a solvent and one or more dissolved electrolytes. Following this, the swelling mechanism can either be triggered via changes of the solute concentration in the surrounding solution or by the application of an electric field. Due to the complex micro structure and the numerous coupled effects which result from the electro-mechanical coupling, this class of materials is very effectively described using the Theory of Porous Media. In this regard, the present paper will provide a brief overview of the involved mixture kinematics, the balance equations, as well as the necessary constitutive theory. The presented model is then brought into a weak formulation which is suitable for a numerical treatment using the Finite Element Method. The chosen degrees of freedom are the solid displacement, the ion concentrations, the pressure and the electrical potential, which are discontinuous over the domain boundary. These discontinuities lead to stability problems which can be solved by a penalty method. Finally, two representative examples are presented addressing a free swelling experiment of a cylindrical nucleus pulposus specimen, as well as an electrically initiated bending of a cantilever made of an electro-active polymer like hydrogel, for instance.

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A Poroelastic-Swelling Finite Element Model With Application to the Intervertebral Disc

Cited by 98 publications

References 0 publications

An Anisotropic Multiphysics Model for Intervertebral Disk

An Anisotropic Multiphysics Model for Intervertebral Disk

Finite element analysis of long-time aging and sudden accidental degeneration of lumbar spine segments in compression

Advances in modelling saturated soft biological tissues and chemically active gels

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