A finite deformation mixture theory is used to quantify the mechanical properties of the annulus fibrosus using experimental data obtained from a confined compression protocol. Certain constitutive assumptions are introduced to derive a special mixture of an elastic solid and an inviscid fluid, and the constraint of intrinsic incompressibility is introduced in a manner that is consistent with results obtained for the special theory. Thirty-two annulus fibrosus specimens oriented in axial and radial directions were obtained from the middle-lateral portion of intact intervertebral discs from human lumbar spines and tested in a stress-relaxation protocol. Material constants are determined by fitting the theory to experimental data representing the equilibrium stress versus stretch and the surface stress time history curves. No significant differences in material constants due to orientation existed, but significant differences existed due to the choice of theory used to fit the data. In comparison with earlier studies with healthy annular tissue, we report a lower aggregate modulus and a higher initial permeability constant. These differences are explained by the choice of reference configuration for the experimental studies. [S0148-0731(00)01002-5]
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April 2000
Technical Papers
A Special Theory of Biphasic Mixtures and Experimental Results for Human Annulus Fibrosus Tested in Confined Compression
Stephen M. Klisch, Ph.D. Candidate,,
Stephen M. Klisch, Ph.D. Candidate,
Department of Mechanical Engineering, University of California, Berkeley, CA
11
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Jeffrey C. Lotz, Associate Professor and Director,
Jeffrey C. Lotz, Associate Professor and Director,
Orthopædic Bioengineering Laboratory, Department of Orthopædic Surgery, University of California, San Francisco, CA 94143
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Stephen M. Klisch, Ph.D. Candidate,
11
Department of Mechanical Engineering, University of California, Berkeley, CA
Jeffrey C. Lotz, Associate Professor and Director,
Orthopædic Bioengineering Laboratory, Department of Orthopædic Surgery, University of California, San Francisco, CA 94143
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received by the Bioengineering Division October 13, 1998; revised manuscript received November 30, 1999. Associate Technical Editor: L. A. Taber.
J Biomech Eng. Apr 2000, 122(2): 180-188 (9 pages)
Published Online: November 30, 1999
Article history
Received:
October 13, 1998
Revised:
November 30, 1999
Citation
Klisch , S. M., and Lotz , J. C. (November 30, 1999). "A Special Theory of Biphasic Mixtures and Experimental Results for Human Annulus Fibrosus Tested in Confined Compression ." ASME. J Biomech Eng. April 2000; 122(2): 180–188. https://doi.org/10.1115/1.429640
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