Experimental and Biphasic FEM Determinations of the Material Properties and Hydraulic Permeability of the Meniscus in Tension

[+] Author and Article Information
Michelle A. LeRoux

Department of Biomedical Engineering, Duke University, Durham, NC

Lori A. Setton

Department of Biomedical Engineering, Duke University, Durham, NCe-mail: setton@duke.edu

J Biomech Eng 124(3), 315-321 (May 21, 2002) (7 pages) doi:10.1115/1.1468868 History: Received August 28, 2001; Revised January 09, 2002; Online May 21, 2002
Copyright © 2002 by ASME
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Schematic of meniscal sample orientations for tensile testing to determine the transversely isotropic elastic properties and permeability coefficients. The permeability coefficient governing flow in the direction of the collagen fibers, k1, was determined from radial samples in the r-z plane, while the permeability coefficient in the transverse direction, k2, was determined from both r-θ radial samples and circumferential samples. The correspondence between the r,θ,z coordinates and the material coordinates is r=2,θ=3, and z=1.
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Transversely isotropic material properties of the meniscus determined from tensile testing. (left) Young’s moduli determined for the meniscus from equilibrium stress-strain data. Values shown for E2 are the average result from the two orientations of radial samples, r-z plane and r-θ, as no differences were detected with orientation (p>0.05, ANOVA)  *  indicates significantly different from E1,p<0.05, ANOVA. (right) Poisson’s ratios computed from equilibrium strain data obtained using optical image analysis.  *  indicates significantly different from ν12,p<0.05, ANOVA.
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Representative fits of the biphasic, transversely isotropic FEM to the tensile stress-relaxation behavior of meniscal samples at ε=0.02–0.08 (a)–(d)
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Permeability coefficients for three orientations of meniscal samples at 4 levels of applied tensile strain. The constant, linear permeability coefficients were determined at each level of applied strain from biphasic FEM optimization. The permeability coefficient, k1, was determined from r-z radial samples and k2 was determined from circumferential and r-θ radial samples as noted. The intrinsic permeability, k0, from an exponential model fit (k=k0e) of the permeability at the 4 strain increments is also included.
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Typical prediction for tensile stress-relaxation of a circumferential sample from biphasic, transversely isotropic FEM. The predicted response at ε=0.06 was obtained from the average of the permeability coefficients at ε=0.02, 0.04, and 0.08.




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