B. Vanrietbergen et al., DIRECT MECHANICS ASSESSMENT OF ELASTIC SYMMETRIES AND PROPERTIES OF TRABECULAR BONE ARCHITECTURE, Journal of biomechanics, 29(12), 1996, pp. 1653-1657
A method is presented to find orthotropic elastic symmetries and const
ants directly from the elastic coefficients in the overall stiffness m
atrix of trabecular bone test specimens. Contrary to earlier developed
techniques, this method does nor require pure orthotropic behavior or
additional fabric measurements. The method uses high-resolution compu
ter reconstructions of trabecular bone specimens as input for large-sc
ale FE-analyses to determine all the 21 elastic coefficients in the ov
erall stiffness matrix of the specimen, using a direct mechanics appro
ach. An optimization procedure is then used to find the coordinate tra
nsformation that yields the best orthotropic representation of this ma
trix. The method is illustrated here relative to two trabecular bone s
pecimens. The techniques developed here can be used to obtain a comple
te characterization of the mechanical properties of trabecular archite
cture. With the development of in vivo reconstruction techniques, even
in vivo measurements will be possible. Copyright (C) 1996 Elsevier Sc
ience Ltd.