Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1983 36(3):387-401; doi:10.1093/qjmam/36.3.387
© 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 GLADWELL, G. M. L.
Right arrow Articles by OLESIAK, Z.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THERMAL PROBLEMS WITH RADIATION BOUNDARY CONDITIONS

G. M. L. GLADWELL, J. R. BARBER and Z. OLESIAK

( Solid Mechanics Division, Faculty of Engineering, University of Waterloo Waterloo, Ontario, Canada N2L 3G1
Department of Mechanical Engineering and Applied Mechanics, University of Michigan Ann Arbor, Michigan 48109, U.S.A.
Institute of Mechanics, University of Warsaw Warsaw, Poland )

Contact or crack problems in thermoelasticity are usually analysed with the idealised boundary conditions of perfect conduction or perfect insulation. These boundary conditions, while simplifying the mathematics, sometimes lead to unrealistic, singular thermoelastic fields. This paper formulates axisymmetric static thermal problems for a half-space when one boundary condition corresponds to partial insulation, either inside or outside the circle r = a, z = 0. Four important cases are considered and the problems are reduced to the solution of integro-differential equations of Abel type. In each case it is shown that the equation can be solved by using two simultaneous Fourier expansions of the unknown function.


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.