A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood
Author
Source
Chinese Journal of Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-23
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
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.
American Psychological Association (APA)
Kumar, Sandeep. 2014. A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood. Chinese Journal of Engineering،Vol. 2014, no. 2014, pp.1-28.
https://search.emarefa.net/detail/BIM-475567
Modern Language Association (MLA)
Kumar, Sandeep. A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood. Chinese Journal of Engineering No. 2014 (2014), pp.1-28.
https://search.emarefa.net/detail/BIM-475567
American Medical Association (AMA)
Kumar, Sandeep. A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood. Chinese Journal of Engineering. 2014. Vol. 2014, no. 2014, pp.1-28.
https://search.emarefa.net/detail/BIM-475567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475567