A Microstructural Model of Elastostatic Properties of Articular Cartilage in Confined Compression

[+] Author and Article Information
Predrag Bursać, C. Victoria McGrath, Solomon R. Eisenberg, Dimitrije Stamenović

Department of Biomedical Engineering, Boston University, Boston, MA 02215

J Biomech Eng 122(4), 347-353 (Mar 30, 2000) (7 pages) doi:10.1115/1.1286561 History: Received April 22, 1999; Revised March 30, 2000
Copyright © 2000 by ASME
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Confined compression of the hexagonal model (a) and of the triangular model (b); F is compressing force, w is model width, and h is model height
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Tensile stress–strain curve of pig tendon. Solid circles are measured data points, open circles are extrapolated data points. Redrawn from Abé et al.14.
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Axial (solid line) and lateral (dotted line) stress–strain curves predicted by the triangular model for bath concentration cb of: (a) 0.50, (b) 0.15, (c) 0.05, and (d) 0.01 M NaCl. Note that units for two-dimensional stress are N/m.
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Equilibrium axial (circles) and lateral (triangles) stress–strain curves obtained from confined compression test on calf cartilage for bath concentration cb of: (a) 0.50, (b) 0.15, (c) 0.05 and (d) 0.01 M NaCl. Symbols are data points; lines are linear regressions.
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Aggregate modulus HA, lateral modulus λ, and shear modulus μ as a function of saline bath concentration cb predicted by the triangular model (a) and obtained from experimental data (b). Note that units for two-dimensional elastic moduli are N/m.
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Average fiber tension versus hydration relationship predicted by the triangular model for fiber Young’s modulus Ef of 0.35, 0.62, and 1.66 GPa. Hydration is calculated as (A−Af)/Af, where A is the total area of the network (A=w×h) and Af is the area subtended by the fibers. Results correspond to physiological bath concentration cb=0.15 M NaCl.
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Compressive modulus (dσy/dε) calculated from the triangular model (solid line) and compressive modulus (dp/dε) calculated from the two-dimensional swelling pressure (p) (dashed line) versus compressive strain (ε). dσy/dε includes the contributions of both the collagen network and PGs, whereas dp/dε includes only the contribution of PGs. Results correspond to p calculated for physiological bath concentration cb=0.15 M NaCl.



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