Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(2):183-196; doi:10.1093/qjmam/35.2.183
© 1982 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 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 REDDY, B. D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A DEFORMATION-THEORY ANALYSIS OF THE BIFURCATION OF PRESSURISED THICK-WALLED CYLINDERS

B. D. REDDY

( Departments of Applied Mathematics and Civil Engineering, University of Cape Town Private Bag, Rondebosch 7700, Republic of South Africa )

Bifurcations of thick-walled circular cylindrical shells subsequent to a finite radially-symmetric inflation, and in a state of plane strain, are analysed. The model of material behaviour used is a generalisation to finite strains of J2 deformation theory of plasticity; the uniaxial stress-strain curve is represented by a simple power law.

Prismatic modes of bifurcation are investigated and results are presented for a variety of material and geometrical properties. Also, a limited comparison of results is made with those obtained by Chu (3) for the same problem but using J2 flow theory. The results for mode number n=1 are found to resemble closely the corresponding results for flow theory; however, the results for n=2 appear to be quite different. For very thin shells, though, the results are identical to those found using flow theory. Bifurcation is found always to occur after the occurrence of pressure maxima.


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.