Femoral head apparent density distribution predicted from bone stresses

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Fyhrie, D. P.¹; Carter, D. R.^1,2

Femoral head apparent density distribution predicted from bone stresses

J Biomech. 1990;23(1):1-10

©1990 Pergamon Press plc

Affiliations

¹Veterans Administration RR & D Center 640/153, 3801 Miranda Ave. Palo Alto, CA 94304, U.S.A.

²Department of Mechanical Engineering, Stanford University, Stanford CA 94305. U.S.A.
Abstract

A new theory relating bone morphology to applied stress is used to predict the apparent density distribution in the femoral head and neck. Cancellous bone is modeled as a self-optimizing material and cortical bone as a saturated (maximum possible bone density) response to stresses in the bone tissue. Three different approaches are implemented relating bone apparent density to: (1) the von Mises stress, (2) the strain energy density in the mineralized tissue and (3) a defined closed effective stress (spherical stress). An iterative nonlinear three-dimensional finite element model is used to predict the apparent density distribution in the femoral head and neck for each of the three approaches. It is shown that the von Mises stress (an open effective stress) cannot accurately predict bone apparent density. It is shown that strain energy density and the defined closed effective stress can predict apparent density and that they give predictions consistent with the observed density pattern in the femoral head and neck.
Links

DOI: 10.1016/0021-9290(90)90363-8

PubMed: 2307686

WoS: A1990CQ50200001
History

Revised: 1987-02-23

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1991	Weinans HH. Mechanically Induced Bone Adaptations Around Orthopaedic Implants [PhD thesis]. Nijmegen, The Netherlands: Katholieke Universiteit te Nijmegen; 1991.
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1997	Turner CH, Annet V, Pidaparti RMV. A uniform strain criterion for trabecular bone adaptation: do continuum-level strain gradients drive adaptation? J Biomech. June 1997;30(6):555-563.
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2003	Cormier JM. Microstructural and Mechanical Properties of Human Ribs [Master's thesis]. Virginia Polytechnic Institute and State University; April 22, 2003.
2020	Mancuso ME. Defining the Multiscale Relationship Between Subject-Specific Bone Strain and Structural Adaptation in the Distal Radius of Women [PhD thesis]. Worcester, MA: Worcester Polytechnic Institute; July 2020.