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Optimal Mass Distribution Prediction for Human Proximal Femur with Bi-modulus Property

Jiao Shi, Kun Cai, Qing H. Qin†,‡

College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling 712100, P.R. China.
Research School of Engineering, the Australian National University, ACT 2601, Australia.
Corresponding author. E-mail:

Molecular & Cellular Biomechanics 2014, 11(4), 235-248.


Simulation of the mass distribution in a human proximal femur is important to provide a reasonable therapy scheme for a patient with osteoporosis. An algorithm is developed for prediction of optimal mass distribution in a human proximal femur under a given loading environment. In this algorithm, the bone material is assumed to be bi-modulus, i.e., the tension modulus is not identical to the compression modulus in the same direction. With this bi-modulus bone material, a topology optimization method, i.e., modified SIMP approach, is employed to determine the optimal mass distribution in a proximal femur. The effects of the difference between two moduli on the final material distribution are numerically investigated. Numerical results obtained show that the mass distribution in bi-modular bone materials is different from that in traditional isotropic material. As the tension modulus is less than the compression modulus for bone tissues, the amount of mass required to support tension loads is greater than that required by isotropic material for the same daily activities including one-leg stance, abduction and adduction.


Cite This Article

Shi, J., Cai, K., Qin, Q. H. (2014). Optimal Mass Distribution Prediction for Human Proximal Femur with Bi-modulus Property. Molecular & Cellular Biomechanics, 11(4), 235–248.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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