An idealized three-dimensional finite element model of a rodlike trabecular bone structure was developed to study its static and dynamic responses under compressive loading, considering the effects of bone marrow and apparent density. Static analysis of the model predicted hydraulic stiffening of trabecular bone due to the presence of bone marrow. The predicted power equation relating trabecular bone apparent elastic modulus to its apparent density was in good agreement with those of the reported experimental investigations. The ratio of the maximum stress in the trabecular bone tissue to its apparent stress had a high value, decreasing with increasing bone apparent density. Frequency analyses of the model predicted higher natural frequencies for the bone without marrow than those for the bone with marrow. Adding a mass relatively large compared to that of bone rendered a single-degree-of-freedom response. In this case, the resonant frequency was higher for the bone with marrow than that for the bone without marrow. The predicted vibrational measurement of apparent modulus was in good agreement with that of the static measurement, suggesting vibrational testing as a method for nondestructive measurement of trabecular bone elastic moduli.
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April 1998
Technical Papers
Static and Dynamic Finite Element Analyses of an Idealized Structural Model of Vertebral Trabecular Bone
M. Kasra,
M. Kasra
Centre for Biomaterials, University of Toronto and Mount Sinai Hospital, Toronto, Ontario, Canada
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M. D. Grynpas
M. D. Grynpas
Centre for Biomaterials, University of Toronto and Mount Sinai Hospital, Toronto, Ontario, Canada
Search for other works by this author on:
M. Kasra
Centre for Biomaterials, University of Toronto and Mount Sinai Hospital, Toronto, Ontario, Canada
M. D. Grynpas
Centre for Biomaterials, University of Toronto and Mount Sinai Hospital, Toronto, Ontario, Canada
J Biomech Eng. Apr 1998, 120(2): 267-272 (6 pages)
Published Online: April 1, 1998
Article history
Received:
November 12, 1996
Revised:
August 4, 1997
Online:
October 30, 2007
Citation
Kasra, M., and Grynpas, M. D. (April 1, 1998). "Static and Dynamic Finite Element Analyses of an Idealized Structural Model of Vertebral Trabecular Bone." ASME. J Biomech Eng. April 1998; 120(2): 267–272. https://doi.org/10.1115/1.2798311
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