An Analysis of the Unconfined Compression of Articular Cartilage

Armstrong, Cecil; Lai, W. Michael; Mow, Van C.

doi:10.1115/1.3138475

Cited by 490 publications

(402 citation statements)

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“…Further, it has been shown that if its boundary conditions are properly selected, a Mandel-type problem with hollow axisymmetric geometry can be used to analyze the compaction of producing reservoirs [Nguyen and Abousleiman, 2009]. Mandel's problem has also been the focus of biomechanical studies such as unconfined compression of articular cartilage [Armstrong et al, 1984] and bone [Cowin and Mehrabadi, 1992].…”

Section: Mandel's Problemmentioning

confidence: 99%

Generalized Biot's theory and Mandel's problem of multiple‐porosity and multiple‐permeability poroelasticity

Mehrabian

Abousleiman

2014

JGR Solid Earth

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This paper finds in Biot's theory of poroelasticity a complete and consistent extension to the general case of multiple-porosity and multiple-permeability, fluid-saturated, and linearly elastic media. The constitutive stress-strain relations for a medium identified with this extension are presented, and the coefficient matrix of mechanical properties associated with these relations is derived from the corresponding intrinsic properties of its single-porosity constituents. The closed form analytical solution to Mandel's problem is upgraded to the case being considered in this study. This problem addresses the transient consolidation of a porous elastic slab of rectangular geometry, when confined from the top and bottom. A numerical example solution for shale with laboratory setup of Mandel's problem is provided. Results are compared for the cases of single-, double-, and triple-porosity solutions.

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Section: Mandel's Problemmentioning

confidence: 99%

Generalized Biot's theory and Mandel's problem of multiple‐porosity and multiple‐permeability poroelasticity

Mehrabian

Abousleiman

2014

JGR Solid Earth

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“…Only two material constants are needed to characterize the constitutive behaviour of homogeneous, isotropic, linear elastic materials. As a first approximation, one can simply measure the shear modulus (G) of a cartilage specimen ex vivo and specify the Poisson's ratio ( ) to be a number slightly less than or equal to 0.5, the Poisson's ratio of an incompressible material (Armstrong et al 1984;Wong et al 2000). Typically, the dynamic shear modulus of normal bovine cartilage is measured to be ca.…”

Section: Modelsmentioning

confidence: 99%

Modelling cartilage mechanobiology

Carter

Wong

2003

Phil. Trans. R. Soc. Lond. B

153

124

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The growth, maintenance and ossification of cartilage are fundamental to skeletal development and are regulated throughout life by the mechanical cues that are imposed by physical activities. Finite element computer analyses have been used to study the role of local tissue mechanics on endochondral ossification patterns, skeletal morphology and articular cartilage thickness distributions. Using single-phase continuum material representations of cartilage, the results have indicated that local intermittent hydrostatic pressure promotes cartilage maintenance. Cyclic tensile strains (or shear), however, promote cartilage growth and ossification. Because single-phase material models cannot capture fluid exudation in articular cartilage, poroelastic (or biphasic) solid/fluid models are often implemented to study joint mechanics. In the middle and deep layers of articular cartilage where poroelastic analyses predict little fluid exudation, the cartilage phenotype is maintained by cyclic fluid pressure (consistent with the single-phase theory). In superficial articular layers the chondrocytes are exposed to tangential tensile strain in addition to the high fluid pressure. Furthermore, there is fluid exudation and matrix consolidation, leading to cell 'flattening'. As a result, the superficial layer assumes an altered, more fibrous phenotype. These computer model predictions of cartilage mechanobiology are consistent with results of in vitro cell and tissue and molecular biology experiments.

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“…It is reported in the literature that the out-of-plane Poisson's ratio (n 31 ) can be set to zero without compromising the accuracy of the model [29,30]. This is based on the observation that the equilibrium stress in the axial direction is the same in confined and unconfined compression, which implies that the radial stress is zero in confined compression.…”

Section: Analytical Formulationmentioning

confidence: 99%

“…Therefore, the stress response reduces to the analytical solution for purely isotropic biphasic material developed by Armstrong et al [29].…”

Section: Analytical Formulationmentioning

confidence: 99%

“…The permeability and equilibrium modulus were estimated based on both purely isotropic and transversely isotropic biphasic models [28,29]. The biphasic parameters for cartilage were estimated using the unconfined compression data for bovine cartilage from literature [30], which was characterized under similar testing conditions.…”

Section: Biphasic Parameter Estimationmentioning

confidence: 99%

See 1 more Smart Citation

Design and fabrication of 3D‐plotted polymeric scaffolds in functional tissue engineering

Yousefi¹,

Gauvin²,

Sun³

et al. 2007

Polymer Engineering & Sci

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Regenerating the load‐bearing tissues requires 3D scaffolds that balance the temporary mechanical function with the biological requirements. In functional tissue engineering, designing scaffolds with biomimetic mechanical properties could promote tissue ingrowth since the cells are sensitive to their local mechanical environment. This work aims to design scaffolds that mimic the mechanical response of the biological tissues under physiological loading conditions. Poly(L‐lactide) (PLLA) scaffolds with varying porosities and pore sizes were made by the 3D‐plotting technique. The scaffolds were tested under unconfined ramp compression to compare their stress profile under load with that of bovine cartilage. A comparison between the material parameters estimated for the scaffolds and for the bovine cartilage based on the biphasic theory enabled the definition of an optimum window for the porosity and pore size of these constructs. Moreover, the finite element prediction for the stress distribution inside the scaffolds, surrounded by the host cartilaginous tissue, demonstrated a negligible perturbation of the stress field at the site of implantation. The finite element modeling tools in combination with the developed methodology for optimal porosity/pore size determination can be used to improve the design of biomimetic scaffolds. POLYM. ENG. SCI., 47:608–618, 2007. © 2007 Society of Plastics Engineers.

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An Analysis of the Unconfined Compression of Articular Cartilage

Cited by 490 publications

References 0 publications

Generalized Biot's theory and Mandel's problem of multiple‐porosity and multiple‐permeability poroelasticity

Generalized Biot's theory and Mandel's problem of multiple‐porosity and multiple‐permeability poroelasticity

Modelling cartilage mechanobiology

Design and fabrication of 3D‐plotted polymeric scaffolds in functional tissue engineering

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