Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 2003 56(1):123-138; doi:10.1093/qjmam/56.1.123
© 2003 by Oxford University Press
This Article
Right arrow Full Text (PDF)
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 arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Novozhilova, L.
Right arrow Articles by Urazhdin, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Exact Solutions for Axially Varying Three-Dimensional Twist Motion in a Neo-Hookean Solid

L. Novozhilova1, T. J. Pence2 and S. Urazhdin3

( 1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA 2 Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, USA 3 Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA )

Motions in a neo-Hookean material that correspond to the coupling between twist, inflation/deflation, and contraction/elongation are examined. The analytical description is in terms of a twist function and a radial inflation function, with independent variables of time and axial distance. The governing system is found to integrate to a nonlinear second-order system of two partial differential equations, one of which contains an arbitrary function of time. The system gives rise to analytical solutions corresponding to various specialized motion classes involving either special assumptions on the twist or, alternatively, a similarity variable relation between the time and space coordinates. In general, the motions presented involve variation of all three principal stretches in both space and time.

Received 7 January 2002. Revised 31 July 2002.


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.