Abstract

An exact closed form solution is given for steady helical flow of plastic materials. Material behaviour is governed by the von-Mises flow rule in conjunction with a rigid/linear-hardening stress-strain characteristic. A restricted version of the general solution is used, as an example, for simulating the helical motion of a rough rigid tool through a circular cylindrical tunnel which is embedded in an infinite plastic medium. It is shown that wall friction induces a plastic boundary layer into the medium. The influence of wall pressure, wall friction and material properties on the behaviour within the boundary layer is discussed. It is also pointed out that no such helical flow pattern is possible for a rigid/perfectly-plastic material.

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