Predicting the Failure Response of Cement-Bone Constructs Using a Non-Linear Fracture Mechanics Approach

[+] Author and Article Information
Kenneth A. Mann, Leatha A. Damron

Musculoskeletal Sciences Research Center, Department of Orthopedic Surgery, Upstate Medical University, Syracuse, NY 13210

J Biomech Eng 124(4), 462-470 (Jul 30, 2002) (9 pages) doi:10.1115/1.1488167 History: Received January 01, 2001; Revised March 01, 2002; Online July 30, 2002
Copyright © 2002 by ASME
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Parametric finite element studies of the cement-bone structures where interface strength (a) and interface fracture toughness (b) were modified from nominal values in the interface element models. The 99 percent confidence interval values shown in Fig. 3 were used in place of nominal values for each case
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Experimental (a) and computational models with frontal (b) and oblique side (c) views of the bone-cement section. For a scale reference, the loading pin had a diameter of 6.35 millimeters
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Interface elements were assigned piece-wise linear constitutive models for both normal direction (a) and shear direction (b) loading
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Tensile strength (a), shear strength (b), tensile fracture toughness (c), and shear fracture toughness (d) results as a function of quantity of interdigitated bone. These relationships were used to assign interface parameters in the present study based on previous data of simple tension and shear specimens 21. Linear regression results with 99 percent confidence intervals of the mean and slope are shown
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Typical load versus displacement plot for an experimental test and finite element model
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Displacement behavior of the experiment and corresponding finite element models at peak load (ultimate) in the softening region and at final failure
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Comparison between experimental measurements and finite element predictions for the eight test specimens. Results for ultimate load (a), energy to failure (b) and displacement at 50 percent of the ultimate load (c) are shown. Error bars represent results for models using interface parameters determined at +99 percent confidence intervals for interface strength and fracture toughness (see Fig. 4). A regression line for the experiment versus finite element prediction is shown as a solid line. The dotted line indicates a perfect correspondence (unity slope) between experiment and finite element results




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