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Book Remodeling Analysis of Femur Using Hybrid Beam Theory
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 Title & Authors
Book Remodeling Analysis of Femur Using Hybrid Beam Theory
Kim, Seung-Jong; Jeong, Jae-Yeon; Ha, Seong-Gyu;
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 Abstract
An investigation has been performed to develop an analysis tool based on a nonlinear beam theory, which can be used to predict the long-term behavior of an artificial hip joint. The nonlinear behav ior of the femur arise from the coupled dependence of the bone density and the mechanical properties on each other. The beam theory together with its numerical algorithm is developed to take into account the nonlinear bone remodeling process of the femur that is long enough to be assumed as a beam. A piecewise linear curve for the bone remodeling rate is used in the bone remodeling theory and the surface area density of bone is modeled as the third order polynomial function of bone density. At each section of the beam, a constant curvature is assumed and the longitudinal strains are also assumed to vary linearly across the section. The Newton-Rhapson iteration method is used to solve the nonlinear equations for each cross section of the bone and a backward method is used to march along the time. The density and the remodeling signal ar, calculated along with time for the various time steps, and the developed beam theory has been verified by comparing with the results of finite element analysis of a remodeling bone with an artificial hip joint of titanium prosthesis subjected to uni-axial loads and pure bending moment. It is concluded that the developed beam theory can be used to predict the long-term behavior of the femur and thus to design the artificial hip prosthesis.
 Keywords
Bone Remodeling;Artificial Hip Joint;Hip Prosthesis;Internal Remodeling;Femur;Beam Theory;
 Language
English
 Cited by
 References
1.
Harkess, J. W., 1992, Arthroplasty of hip, Campbell's Orthopaedics, 8th eds., Vol. 1, Mosby Year Book, Louis, Missouri

2.
McCarthy, C. K., Steinberg, G. G., Agren, M. D., Wyman, E., and Baran, D. T., 1991, 'Quantifying Bone Loss from the Proximal Femur After Total Hip Arthroplasty,' Journal of Bones and Joint Surgery, Vol. 73B, pp. 774-778

3.
Hayes, W.C., 1991, 'Basic Orthopaedic Biomechanicsm,Bone Mechanics: From Tissue Mechanical Properties to an Assessment of Structural Behavior,' Basic Orthopaedic Biomechanics, V. C. Mow and W. C. Hayes eds., Raven Press Ltd., New York

4.
Carter, D. R., Hayes, W. C., 1977, 'The Compression Behavior of Bone as a Two-Phase Porous Structure,' Journal of Bone and Joint Surgery, Vol. 59A, pp. 954-962

5.
Frost, H. M., 1964, Law of Bone Structure, Springfield, Charles C. Thomas

6.
Frost, H. M., 1986, 'Intermediary Organization of the Skeleton,' Vol. 1, Boca Raton, CRC-Press

7.
Orr, T. E., 1990, 'The Role of Mechanical Stresses in Bone Remodeling,' Dissertation for Degree of Ph.D of Stanford University, Stanford, California

8.
Martin, R.B., 1984, 'Porosity and Specific Surface of Bone,' In CRC Critical Reviews in Biomedical Engineering, pp. 179-222, CRC Press, Boca Raton, Florida

9.
Jacobs, C. R., 1994, 'Numerical Simulation of Bone Adaptation to Mechanical Loading,' Dissertation for Degree of Ph.D of Stanford University, Stanford, California

10.
Jeong, J. Y., 1998, 'Structure Analysis of Artificial Hip Joint and Design of Composite Hip Prosthesis,' Dissertation for Degree of Ph.D of Hanyang University