Estimation of the effective transversely isotropic elastic constants of a material from known values of the material's orthotropic elastic constants |
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| Authors: | Y J Yoon G Yang S C Cowin |
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| Institution: | (1) The New York Center for Biomedical Engineering, The Department of Mechanical Engineering, The School of Engineering of The City College and The Graduate School of The City University of New York, New York, NY 10031, USA e-mail: scccc@cunyvm.cuny.edu Tel.: +1-212-7997970; Fax: +1-212-7997970, US;(2) EASi Engineering, Inc., 1551 E. Lincoln Ave., Madison Heights, MI 48071, USA, US |
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| Abstract: | A method is illustrated for determining the effective transversely isotropic (or isotropic) elastic constants from measured
orthotropic elastic constants. This method consists of constructing upper and lower bounds on the effective transversely isotropic
(or isotropic) elastic constants using the known orthotropic values. This method is illustrated using three sets of elastic
constants for bone. Fortunately, the upper and lower bounds are very close. Thus very good approximations for the effective
transversely isotropic (or isotropic) elastic constants for cortical and cancellous bone are obtained from previously published
data on the orthotropic elastic constants for those tissue types. This work is undertaken to build a greater database for
the transversely isotropic elastic constants of bone with the intention of employing them in a transversely isotropic model
of bone poroelasticity. An interesting aspect of the present result is that the Voigt and Reuss bounds are very tight for
these anisotropic materials. This is not always the case for these bounds.
Received: 14 November 2001 / Accepted: 25 February 2002 |
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