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Using circular arcs of tangential velocity discontinuity an attempt is made to account for some of the experimentally observed facts of rolling and rolling contact as between a circular "workpiece" and one or more parallel rolls. The same methods are demonstrated to apply to certain rotary forming operations.
The physical situations discussed in the first part of this paper arose out of a need to account for the phenomena of rolling contact; such contributions as have so far been made have thrown light on the problems of wear and on ball-and-roller bearing life. The last part of the paper will be seen to have obvious relevance to the Mannesmann and similar tube-making processes.
This essay endeavors to comprehend, though only to a modest degree, these different situations using a concept well known in the theory of plasticity, the tangential velocity discontinuity. The approach offered is speculative since the "solutions" proposed are based on over-simplifications which ultimately may not be adequately justified. However, because colleagues who originally read this essay in note form seemed to find it "plausible, interesting and suggestive", it was thought worthwhile to offer it for publication and discussion. The matter treated should at least bring attention to a very challenging area of mechanics which as yet claims an insignificant number of research workers. [ABSTRACT FROM AUTHOR]