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Book Remodeling Analysis of Femur Using Hybrid Beam Theory
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  • Book Remodeling Analysis of Femur Using Hybrid Beam Theory
  • Book Remodeling Analysis of Femur Using Hybrid Beam Theory
저자명
김승종,정재연,하성규,Kim. Seung-Jong,Jeong. Jae-Yeon,Ha. Seong-Gyu
간행물명
大韓機械學會論文集. Transactions of the Korean Society of mechanical engineers. A. A
권/호정보
2000년|24권 2호|pp.329-337 (9 pages)
발행정보
대한기계학회
파일정보
정기간행물|ENG|
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기타
이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
서지반출

기타언어초록

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.