Skip Navigation


IMA Journal of Applied Mathematics Advance Access originally published online on September 26, 2007
IMA Journal of Applied Mathematics 2007 72(5):577-596; doi:10.1093/imamat/hxm030
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
72/5/577    most recent
hxm030v1
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 Similar articles in ISI Web of Science
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 Boulanger, PH.
Right arrow Articles by Hayes, M.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Bounds on the extensional strains in elastic homogeneous crystals under simple tension

PH. Boulanger{dagger}

Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P.218/1 1050 Bruxelles, Belgium

M. Hayes

School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

{dagger} Email: phboul{at}ulb.ac.be

Received on November 20, 2006; Accepted on February 2, 2007

Within the context of the linearized theory of elasticity, we consider homogeneous crystals, which have orthorhombic, tetragonal, hexagonal symmetry or cubic symmetry (‘RTHC’ crystals). When such a crystal is subjected to a simple tension (or compression) of amount T in the direction n, there will be three, generally different, extensional strains along the three mutually perpendicular directions corresponding to the principal axes of strain. The purpose of this paper is to present a simple procedure to place bounds, upper and lower, on the possible extensional strains in the crystal, both in the case when n is fixed in direction and in the case when n is arbitrary. The procedure allows us to determine whether the bounds are attained or not.

Keywords: anisotropic media; linerized elasticity; stress; strain; principal stains; upper and lower bounds.


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




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.