This paper presents an efficient method for simulating the bone remodeling procedure. This method is based on the trajectorial architecture theory of optimization and employs a truss-like model for bone. The truss was subjected to external loads including 5 point loads simulating the hip joint contact forces and 3 muscular forces at the attachment sites of the muscles to the bone. The strain in the links was calculated and the links with high strains were identified. The initial truss is modified by introducing new links wherever the strain exceeds a prescribed value; each link undergoing a high strain is replaced by several new links by adding new nodes around it using the Delaunay method. Introduction of these new links to the truss, which is conducted according to a weighted arithmetic mean formula, strengthens the structure and reduces the strain within the respective zone. This procedure was repeated for several steps. Convergence was achieved when there were no critical links remaining. This method was used to study the 2D shape of proximal femur in the frontal plane and provided results that are consistent with CT data. The proposed method exhibited capability similar to more complicated conventional nonlinear algorithms, however, with a much higher convergence rate and lower computation costs.
- Materials Division, Nondestructive Evaluation Division, and Pressure Vessels and Piping Division
The Influence of Muscle Loadings on the Density Distribution of the Proximal Femur
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Marzban, A, Warner, GM, Canavan, PK, Nayeb-Hashemi, H, & Ajdari, A. "The Influence of Muscle Loadings on the Density Distribution of the Proximal Femur." Proceedings of the ASME 2006 International Mechanical Engineering Congress and Exposition. Materials, Nondestructive Evaluation, and Pressure Vessels and Piping. Chicago, Illinois, USA. November 5–10, 2006. pp. 125-129. ASME. https://doi.org/10.1115/IMECE2006-14996
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