Table of Contents
Chinese Journal of Engineering
Volume 2014, Article ID 487314, 28 pages
Research Article

A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood

Department of Mathematics, Government P.G. Degree College, New Tehri, Tehri Garhwal, Uttarakhand 249 001, India

Received 29 August 2013; Accepted 1 October 2013; Published 23 March 2014

Academic Editors: J. Deng and D. Sun

Copyright © 2014 Sandeep Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The present research entirely relies on the Computer Algebric Systems (CAS) to develop techniques for the data analysis of the sets of elastic constant data measurements. In particular, this study deals with the development of some appropriate programming codes that favor the data analysis of known values of elastic constants for cancellous bone, hardwoods, and softwood species. More precisely, a “Mathematica” code, which has an ability to unfold a fourth-order elasticity tensor is discussed. Also, an effort towards the fabrication of an appropriate “MAPLE” code has been exposed, that can calculate not only the eigenvalues and eigenvectors for cancellous bone, hardwoods, and softwood species, but also computes the nominal average of eigenvectors, average eigenvectors, average eigenvalues, and the average elasticity matrices for these materials. Further, using such a MAPLE code, the histograms corresponding to average elasticity matrices of 15 hardwood species have been plotted and the graphs for I, II, III, IV, V, and VI eigenvalues of each hardwood species against their apparent densities are also drawn.