Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model

Li, L.P.; Soulhat, J.; Buschmann, Michael D.; Shirazi‐Adl, A.

doi:10.1016/s0268-0033(99)00013-3

Cited by 225 publications

(189 citation statements)

References 29 publications

Supporting

Mentioning

181

Contrasting

Order By: Relevance

“…Researchers currently are attempting to develop microstructural models for this purpose Li et al, 1999;Wilson et al, 2004;Li et al, 2005). Lei and Szeri (2007c) developed a comprehensive microstructural model to account for poroelasticity, tension-compression nonlinearity, inhomogeneity, intrinsic viscoelasticity, and anisotropy.…”

Section: Constitutive Equationsmentioning

confidence: 99%

Transport of neutral solute in articular cartilage: Effect of microstructure anisotropy

Zhang

Szeri

2008

Journal of Biomechanics

View full text Add to dashboard Cite

Due to the avascular nature of articular cartilage, solute transport through its extracellular matrix is critical for the maintenance and the functioning of the tissue. What's more, diffusion of macromolecules may be affected by the microstructure of the extracellular matrix in both undeformed and deformed cartilage and experiments demonstrate diffusion anisotropy in the case of large solute. However, these phenomena have not received sufficient theoretical attention to date.We hypothesize here that the diffusion anisotropy of macromolecules is brought about by the particular microstructure of the cartilage network. Based on this hypothesis, we then propose a mathematical model that correlates the diffusion coefficient tensor with the structural orientation tensor of the network. This model is shown to be successful in describing anisotropic diffusion of macromolecules in undeformed tissue and is capable of clarifying the effects of network reorientation as the tissue deforms under mechanical load. Additionally, our model explains the anomaly that at large strain, in a cylindrical plug under unconfined compression, solute diffusion in the radial direction increases with strain.Our results indicate that in cartilage the degree of diffusion anisotropy is site specific but depends also on the size of the diffusing molecule. Mechanical loading initiates and/or further exacerbates this anisotropy. At small deformation, solute diffusion is near isotropic in a tissue that is isotropic in its unstressed state, becoming anisotropic as loading progresses. Mechanical loading leads to an attenuation of solute diffusion in all directions when deformation is small. However, loading, if it is high enough, enhances solute transport in the direction perpendicular to the load line, instead of inhibiting it.

show abstract

Section: Constitutive Equationsmentioning

confidence: 99%

Transport of neutral solute in articular cartilage: Effect of microstructure anisotropy

Zhang

Szeri

2008

Journal of Biomechanics

View full text Add to dashboard Cite

show abstract

“…3 Variations of collagen fibers angle toward cartilage surface u (n) by normalized depth (R 2 = 0.9999). In contrast, other models which consider fibers only in tension conditions could not correctly predict the depth dependent variations of aggregate modulus or other mechanical properties of articular cartilage as a function of depth [32,33].…”

Section: Resultsmentioning

confidence: 86%

A depth dependent transversely isotropic micromechanic model of articular cartilage

Elhamian

Alizadeh

Shokrieh

et al. 2015

J Mater Sci: Mater Med

View full text Add to dashboard Cite

“…Also, the orthotropic model proposed for arterial tissue (Holzapfel et al 2004) and the transversely isotro pic model proposed for the intervertebral disc (Baer et al 2004) allowed for different mechanical properties in tension and compression. Other bimodular models include fiber-rein forced cartilage FEMs in which cable elements, which only support stress under tension, are used to model collagen fibers Li et al 1999;Li and Herzog 2004;Soulhat et al 1999;Wilson et al 2004). …”

Section: Discussionmentioning

confidence: 99%

A Bimodular Theory for Finite Deformations: Comparison of Orthotropic Second-order and Exponential Stress Constitutive Equations for Articular Cartilage

Klisch

2006

Biomech Model Mechanobiol

View full text Add to dashboard Cite

Cartilaginous tissues, such as articular cartilage and the annulus fibrosus, exhibit orthotropic behavior with highly asymmetric tensile-compressive responses. Due to this complex behavior, it is difficult to develop accurate stress constitutive equations that are valid for finite deformations. Therefore, we have developed a bimodular theory for finite deformations of elastic materials that allows the mechanical properties of the tissue to differ in tension and compres sion. In this paper, we derive an orthotropic stress constitutive equation that is second-order in terms of the Biot strain ten sor as an alternative to traditional exponential type equations. Several reduced forms of the bimodular second-order equa tion, with six to nine parameters, and a bimodular exponential equation, with seven parameters, were fit to an experimental dataset that captures the highly asymmetric and orthotropic mechanical response of cartilage. The results suggest that the bimodular second-order models may be appealing for some applications with cartilaginous tissues.

show abstract

Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model

Cited by 225 publications

References 29 publications

Transport of neutral solute in articular cartilage: Effect of microstructure anisotropy

Transport of neutral solute in articular cartilage: Effect of microstructure anisotropy

A depth dependent transversely isotropic micromechanic model of articular cartilage

A Bimodular Theory for Finite Deformations: Comparison of Orthotropic Second-order and Exponential Stress Constitutive Equations for Articular Cartilage

Contact Info

Product

Resources

About