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TECHNICAL PAPERS: Bone/Orthopedic

Finite Element Thermal Analysis of Bone Cement for Joint Replacements

[+] Author and Article Information
Chaodi Li, Shiva Kotha, Chen-Hsi Huang, James Mason

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556

Don Yakimicki, Michael Hawkins

Department of Polymer Research, Zimmer, Inc., Warsaw, IN 46580

J Biomech Eng 125(3), 315-322 (Jun 10, 2003) (8 pages) doi:10.1115/1.1571853 History: Revised November 16, 2002; Online June 10, 2003
Copyright © 2003 by ASME
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References

Charnley,  J., 1975, “Fracture of Femoral Prostheses in Total Hip Replacement,” Clin. Orthop. Relat. Res., 111, pp. 105–120.
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Yang,  J., 1997, “Polymerization of Acrylic Bone Cement Using Differential Scanning Calorimetry,” Biomaterials, 18, pp. 1293–1298.
Nzihou,  A., Attias,  L., Sharrock,  P., and Ricard,  A., 1998, “A Rheological, Thermal and Mechanical Study of Bone Cement—From a Suspension to a Solid Biomaterial,” Powder Technol., 99, pp. 60–69.
Borzacchiello,  A., Ambrosio,  L., Nicolais,  L., Harper,  E. J., Tanner,  E., and Bonfield,  W., 1998, “Comparison Between the Polymerization Behavior of a New Bone Cement and a Commercial One: Modeling and in Vitro Analysis,” J. Mater. Sci.: Mater. Med., 9, pp. 835–838.
Borzacchiello,  A., Ambrosio,  L., Nicolais,  L., Harper,  E. J., Tanner,  E., and Bonfield,  W., 1998, “Isothermal and Non-Isothermal Polymerization of a New Bone Cement,” J. Mater. Sci.: Mater. Med., 9, pp. 317–324.
Maffezzoli,  A., Ronca,  D., Guida,  G., Pochini,  I., and Nicolais,  L., 1997, “In-Situ Polymerization Behavior of Bone Cements,” J. Mater. Sci.: Mater. Med., 8, pp. 75–83.
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Kuhn, K., 2000, Bone Cements: Up-to-Date Comparison of Physical and Chemical Properties of Commercial Materials, Springer, Berlin, Germany.
Huiskes, R., 1980, “Some Fundamental Aspects of Human Joint Replacement,” Acta Orthop. Scand., Supplement No. 185, Munksgaard Copenhagen.
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ASTM, 2000, “ASTM F451: Standard Specification for Acrylic Bone Cement,” Annual Book of ASTM Standards, Vol. 13.01, pp. 55–61, ASTM, West Conshohocken, PA.
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Figures

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Schematic of Thermal Test Setup. Experiments were performed in temperature-controlled chamber, and T is the ambient temperature.
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A typical cement temperature T(°C) versus time t (min) profile during bone cement curing
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Sketch of the bone-cement-prosthesis system model. The cement mantle thicknesses were specified as 3, 5, and 7 mm corresponding to femoral prosthesis radii of 10, 8, and 6 mm in a typical 26-mm-diam femoral cavity. The bone thickness was assumed to be 8 mm.
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Effects of bone cement conduction coefficient kc on the numerical temperature predictions. Dash curves represent the temperatures at the center of the cement mantle measured with the thermocouples; solid curves represent the numerical predictions of the same locations with different kc values (a: kc=0.10; b: kc=0.17; c: kc=0.24).
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Bone thermal damage factor Ω versus r (mm) in the bone-cement-prosthesis system (bone/cement interface at r=13 mm; bone external boundary at r=21 mm)
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Comparison of the temperature history (temperature (°C) versus time (seconds)) in the location of the mold center between the numerical fit (-○-) and experimental data (-) in the bone cement characterization tests with different ambient temperatures
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(a) Temperature profiles across the system for the simulation of 3 mm thick bone cement with 10 mm radii metal prosthesis system. (b) Degree of reaction α development in the cement for the simulation of 3 mm thick bone cement with 10 mm radii metal prosthesis system.
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Temperature (°C) versus time (s) at the bone/cement interface for three cement thicknesses (3, 5, and 7 mm)
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The temperature T(°C) and damage factor Ω history at the bone/cement interface at 5 mm thick cement mantle case

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