Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1983 36(3):337-350; doi:10.1093/qjmam/36.3.337
© 1983 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?

THE OCCURRENCE OF SURFACE INSTABILITIES AND SHEAR BANDS IN PLANE-STRAIN DEFORMATION OF AN ELASTIC HALF-SPACE

B. D. REDDY 

( Dept. of Mathematics, Brunel University Uxbridge, Middlesex UB8 3PH )

The problem of bifurcation of an isotropic elastic half-space in plane strain is considered. In the case of surface instabilities, criteria for bifurcation are given for arbitrary strain-energy functions, the criteria depending on whether or not a discriminant {Delta} (equation (4.8)) is zero or not. For bifurcation in the form of localized shear bands a simple criterion is also given; furthermore, it is shown, subject to very mild restrictions on the strain-energy function, that the criterion for bifurcation in the form of surface instabilities will always be satisfied first. Specific results for a class of strain-energy function are illustrated and discussed.


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.