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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(3):329-348; doi:10.1093/qjmam/23.3.329
© 1970 by Oxford University Press
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COMPRESSION OF A RIGID-PERFECTLY PLASTIC STRIP BETWEEN PARALLEL ROTATING SMOOTH DIES

I. F. COLLINS

( Department of Mathematics, University of Manchester Institute of Science and Technology )

The theory of slipline fields is used to analyse the process of compression of a strip of plastic material between smooth rotating dies under plane strain conditions. The solutions have a particularly complex structure and lead, in general, to linear integral equations. The solutions are found using an operational procedure previously developed by the author.

This problem is closely related to the important cold rolling process, and this investigation was mainly instigated in order to obtain information about the likely deformation patterns for this process. The relevance for cold rolling of the results obtained here is described elsewhere (3).


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