Abstract

The central burst defect, also called chevron crack, in the extruded product worked under plane strain is analyzed. To the prediction of central bursting the criterion based on plastic instability is used. It satisfies the sufficient condition siei=0 for multiplicity of solution, which is derived from the consideration based on its necessary condition ΔsiΔei=0, where si denotes the nominal stress rate, and Δ shows the difference of any two multiple solutions. The criterion gives the limit strain identical to the one derived from Swift's criterion under plane stress condition, but its concept is quite different with Swift's. Stress and strain in the specimen are evaluated using FEM. The measure yM to present the occurrence of central bursting is proposed and it is calculated using the stress and strain on the central line of the product. When yM<0, the bursting occurs. The value of yM is shown in the range of combination of cone angle and reduction. It is found that the zone denoting the central burst is very similar to the one obtained by slip line method.

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