Abstract

An attempt has been made to resolve an apparent anomaly between theoretical predictions and experimental observations on the natural knuckle radius during external inversion of tubes. A rigid, linear strain-hardening material model is used. The Tresca yield condition and associated flow rules along with a kinematic hardening law are employed. Analytical results show good agreement between predicted and experimentally observed values of the critical knuckle radius. It is found that the strain-hardening parameter which provides the best agreement with the experimental data depends on the magnitude of the strain and hence the geometry of the tube. The calculated inversion loads are seen to agree better with the observed values than those from an earlier analysis.

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