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The Anisotropic Hooke's Law for Cancellous Bone and Wood |
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| Authors: | Guoyu Yang Jesper Kabel Bert Van Rietbergen Anders Odgaard Rik Huiskes Stephen C Cown |
| Institution: | 1. The Center for Biomedical Engineering and 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, U.S.A 2. Orthopaedic Research Laboratory, Aarhus University Hospital (?KH), Norrebrogade 44, 8000, Aarhus C, Denmark 3. Institute for Biomedical Engineering, Swiss Federal Institute of Technology, Moussonstrasse 18, 8044, Zurich, Switzerland 4. Biomechanics Section, Institute of Orthopaedics, University of Nijmegen, P.O. Box 9101, 6500, HB Nijmegen, The Netherlands |
| Abstract: | A method of data analysis for a set of elastic constant measurements is applied to data bases for wood and cancellous bone. For these materials the identification of the type of elastic symmetry is complicated by the variable composition of the material. The data analysis method permits the identification of the type of elastic symmetry to be accomplished independent of the examination of the variable composition. This method of analysis may be applied to any set of elastic constant measurements, but is illustrated here by application to hardwoods and softwoods, and to an extraordinary data base of cancellous bone elastic constants. The solid volume fraction or bulk density is the compositional variable for the elastic constants of these natural materials. The final results are the solid volume fraction dependent orthotropic Hooke's law for cancellous bone and a bulk density dependent one for hardwoods and softwoods. This revised version was published online in August 2006 with corrections to the Cover Date. |
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