Time-Dependent Circumferential Deformation of Cortical Bone Upon Internal Radial Loading

[+] Author and Article Information
Christopher U. Brown, Timothy L. Norman, Vincent L. Kish, Thomas A. Gruen, J. David Blaha

Departments of Mechanical and Aerospace Engineering and Orthopedics, Musculoskeletal Research Center, West Virginia University, Morgantown, WV 26506-9196

J Biomech Eng 124(4), 456-461 (Jul 30, 2002) (6 pages) doi:10.1115/1.1488168 History: Received July 01, 2001; Revised February 01, 2002; Online July 30, 2002
Copyright © 2002 by ASME
Topics: Deformation , Creep , Stress , Bone
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The test specimen with strain gages oriented to measure hoop strain.
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The testing device applies internal pressure to the cylindrical bone specimen; a cross-sectional view.
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The measured parameters, creep strain, creep strain rate and residual strain, from a single gage on one specimen during a Short Duration Test.
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Differences were detected between the curve fits of creep strain and normalized hoop stress among quadrants, however there was a loss of less than 2 percent of predictive ability if the quadrants were grouped. εPosterior=24.079e1862.7xMedial=20.557e1853.1xAnterior=19.017e2008.8xLateral=25.626e1688.2xCombined=21.67e1880.5x
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(a) The creep strain, (b) creep strain rate and (c) residual strain relationships with normalized hoop stress. The intersection between the fit of the data (solid line) and the offset (dashed line) is the threshold.
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Hoop strain from a single gage on one specimen during a Long Duration Test. The specimen exhibited the three characteristic stages of creep and failed after 6 hours.
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A significant relationship between normalized hoop stress and time to failure on a logarithmic plot (p=0.026).
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Radial (R) and hoop (H) oriented cracks from a field of cortical bone. (a) A radially oriented crack in the bone matrix and (b) extending between cement lines of two osteons and into the bone matrix. Hoop oriented microcracks along the cement line are visible around the bottom left osteon. The magnified image (8b) is taken from within the inset in (8a).
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Tensile hoop and compressive radial stress tend to open cracks in the radial direction and cause delaminations between the cement lines and bone matrix.




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