Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1990 43(1):15-41; doi:10.1093/qjmam/43.1.15
© 1990 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow A correction has been published
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by MEHRABADI, M. M.
Right arrow Articles by COWIN, S. C.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS

MORTEZA M. MEHRABADI1 and STEPHEN C. COWIN2,{dagger}

( 1Department of Mechanical Engineering, Tulane University New Orleans, Louisiana 70118, USA
2Department of Biomedical Engineering, Tulane University New Orleans, Louisiana 70118, USA )

{dagger} Present Address: Department of Mechanical Engineering, City College of the City University of New York, New York 10031, USA.

There are two eigentensors for a linear isotropic elastic material; one is the deviatoric second-rank tensor, and the other is a second-rank tensor proportional to the unit tensor and often called the spherical or hydrostatic part of the tensor. The eigentensors of isotropic elasticity have many properties of physical and mathe-matical significance. In this paper a method of construction of the eigentensors for the anisotropic elastic-material symmetries is presented and applied to determine the eigentensors of each anisotropic elastic symmetry. The eigentensors for the anisotropic symmetries are shown to have the same important properties as those possessed by the eigentensors of isotropic elasticity.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Mathematics and Mechanics of SolidsHome page
A.N. Norris
Euler-Rodrigues and Cayley Formulae for Rotation of Elasticity Tensors
Mathematics and Mechanics of Solids, August 1, 2008; 13(6): 465 - 498.
[Abstract] [PDF]

Home page
 Q J Mechanics Appl MathHome page
A. N. Norris
Optimal orientation of anisotropic solids
Q J Mechanics Appl Math, February 1, 2006; 59(1): 29 - 53.
[Abstract] [Full Text] [PDF]

Home page
 Mathematics and Mechanics of SolidsHome page
T. C. T. Ting
Positive Definiteness of Anisotropic Elastic Constants
Mathematics and Mechanics of Solids, September 1, 1996; 1(3): 301 - 314.
[Abstract]


Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.