Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1949 2(1):53-63; doi:10.1093/qjmam/2.1.53
© 1949 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 WILLMORE, T. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE DISTRIBUTION OF STRESS IN THE NEIGHBOURHOOD OF A CRACK

T. J. WILLMORE

( Department of Mathematics, Durham Colleges, University of Durham )

In this paper we determine by complex variable methods the distribution of stress in the neighbourhood of a two-dimensional Griffith crack when the pressure varies along the crack. The analysis is extended to deal with problems involving cracks in aeolotropio materials possessing two directions of elastic symmetry. The paper concludes with an investigation of the stress distribution in the neighbourhood of two collinear cracks of equal length, and formulae are found giving the shape of the cracks and the critical tensile stress normal to the cracks which will produce rupture. it is shown that the influence of one crack on the other is very small provided that the distance between the cracks exceeds the length of each crack.

The methods of this paper can also be used to solve the problem of the indentation. of the plane boundary of an isotropic or aeolotropic material by a single punch of any shape, or by a fiat-ended double punch.


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.