Skip Navigation



The Quarterly Journal of Mechanics and Applied Mathematics Advance Access published online on April 27, 2007
The Quarterly Journal of Mechanics and Applied Mathematics, doi:10.1093/qjmam/hbm008
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
60/3/311    most recent
hbm008v1
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 Payton, R. G.
Right arrow Articles by Watanabe, K.
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; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

DYNAMIC CRACK-TIP SINGULAR STRESS IN A CYLINDRICALLY ORTHOTROPIC ELASTIC SOLID

Robert G. Payton{dagger}

( Mathematics & Computer Science, Adelphi University, Garden City, NY 11530, USA )

Kazumi Watanabe

( Mechanical Engineering, Yamagata University, Yonezawa, Yamagata 992, Japan )

{dagger} payton{at}panther.adelphi.edu

Received 25 September 2006. Revise 5 March 2007.
  Abstract

Anti-plane wave motion is induced in a cylindrically orthotropic elastic solid containing a semi-infinite stress-free crack, by a point impulsive body force. First, the static version of the problem is solved for the fracture stress {tau}{theta}z. Here, a global solution is obtained and then examined at the crack tip in order to determine the nature of the spatial singularity. Next, the dynamic problem is treated and it is found that the dominant spatial singularity for {tau}{theta}z at the crack tip is the same as in the static case. However, the dynamic part of the stress intensity factor, T, may introduce a further singularity. Several equivalent expressions are presented for T, one of which is examined in some detail.


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.