Skip Navigation


The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on July 24, 2006
The Quarterly Journal of Mechanics and Applied Mathematics 2006 59(4):451-474; doi:10.1093/qjmam/hbl011
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
59/4/451    most recent
hbl011v1
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 Natroshvili, D.
Right arrow Articles by Stratis, I. G.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Q. Jl Mech. Appl. Math, Vol. 59. No. 4 © The author 2006. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Representation formulae of general solutions in the theory of hemitropic elasticity

David Natroshvili and Levan Giorgashvili

( Department of Mathematics, Georgian Technical University, Kostava str. 77, Tbilisi 0175, Republic of Georgia )

Ioannis G. Stratis

( Department of Mathematics, University of Athens, Panepistimiopolis, GR 15784 Athens, Greece )


  Abstract

We consider the steady state oscillation equations of the theory of elasticity of hemitropic materials. We derive general representation formulae for the displacement and microrotation vectors by means of six scalar metaharmonic functions. These formulae are very convenient and useful in many particular problems for domains with concrete geometry. Here we consider two canonical transmission problems for piecewise homogeneous bodies with spherical interfaces and with the help of the representation formulae construct explicit solutions in the form of absolutely and uniformly convergent series. The representations can also be applied to multi-layered bodies with spherical and cylindrical interfaces.


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.