A Transversely Isotropic Biphasic Model for Unconfined Compression of Growth Plate and Chondroepiphysis

Cohen, Boaz; Lai, W. Michael; Mow, Van C.

doi:10.1115/1.2798019

Cited by 228 publications

(252 citation statements)

References 25 publications

Supporting

Mentioning

235

Contrasting

Unclassified

Order By: Relevance

“…While it is difficult to infer constitutive relations from the strain components, nevertheless this study has provided appropriate data including applied normal stresses at the tissue boundary and strain components throughout the volume of the material that may be used to validate previous constitutive relations. Such relations may incorporate transversely isotropic symmetry [5,8,9,18], as well as other formulations [13,32].…”

Section: Discussionmentioning

confidence: 99%

Heterogeneous three-dimensional strain fields during unconfined cyclic compression in bovine articular cartilage explants

2005

View full text Add to dashboard Cite

Articular cartilage provides critical load-bearing and tribological properties to the normal function of diarthrodial joints. The unique properties of cartilage, as well as heterogeneous deformations during mechanical compression, are due to the nonuniform microstructural organization of tissue components such as collagens and proteoglycans. A new cartilage deformation by tag registration (CDTR) technique has been developed by the authors to determine heterogeneous deformations in articular cartilage explants. The technique uses a combination of specialized MRI methods, a custom cyclic loading apparatus, and image processing software. The objective of this study was to use the CDTR technique to document strain patterns throughout the volume of normal bovine articular cartilage explants during cyclic unconfined compression at two physiologically-relevant applied normal stress levels (1.29 and 2.57 MPa). Despite simple uniaxial cyclic compressive loading with a flat, nonporous indenter, strain patterns were heterogeneous. Strains in the thickness direction (Eyy) were compressive, varied nonlinearly with depth from the articular surface from a maximum magnitude of 11% at the articular surface, and were comparable despite a 2-fold increase in applied normal stress. Strains perpendicular to the thickness direction (Exx and Ezz) were tensile, decreased linearly with depth from the articular surface from a maximum of 7%, and increased in magnitude 2.5-fold with a 2-fold increase in applied normal stress. Shear strains in the transverse plane (Ex:) were approximately zero while shear strains in the other two planes were much larger and increased in magnitude with depth from the articular surface, reaching maximum magnitudes of 2% at the articular cartilage-subchondral bone interface. In general, strain patterns indicated that cartilage osteochondral explants exhibited depth-dependent nonisotropic behavior during uniaxial cyclic loading. These results are useful in verifying constitutive formulations of articular cartilage during cyclic unconfined compression and in characterizing the micromechanical environment likely experienced by individual chondrocytes throughout the tissue volume.

show abstract

Section: Discussionmentioning

confidence: 99%

Heterogeneous three-dimensional strain fields during unconfined cyclic compression in bovine articular cartilage explants

2005

View full text Add to dashboard Cite

show abstract

“…There have been numerous macroscopic constitutive models proposed over the past decade for the mechanical properties of cartilage Holmes and Mow, 1990;Cohen et al, 1998;Oloyede and Broom, 1991;Soltz and Ateshian, 2000;Nguyen and Oloyede, 2001). Researchers currently are attempting to develop microstructural models for this purpose Li et al, 1999;Wilson et al, 2004;Li et al, 2005).…”

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

“…The compressive stress of a stromal disk with radius a subjected to ramp-hold compressive strain is given by [25] …”

Section: Discussionmentioning

confidence: 99%

Biomechanical Properties of Corneal Extracellular Matrix Using Experimental and Computational Methods

Hatami-Marbini¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

View full text Add to dashboard Cite

show abstract

A Transversely Isotropic Biphasic Model for Unconfined Compression of Growth Plate and Chondroepiphysis

Cited by 228 publications

References 25 publications

Heterogeneous three-dimensional strain fields during unconfined cyclic compression in bovine articular cartilage explants

Heterogeneous three-dimensional strain fields during unconfined cyclic compression in bovine articular cartilage explants

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

Biomechanical Properties of Corneal Extracellular Matrix Using Experimental and Computational Methods

Contact Info

Product

Resources

About