Summary
A system of ordinary differential equations describing the velocity, strain and stress fields of an isotropic rigid perfectly plastic material flowing through an axisymmetrical converging channel was derived. The plastic flow behavior was assumed to be described by an arbitrary yield condition and its associated flow rule. The solution of this problem was applied to the case of a yield function suitable for isotropic FCC polycrystals such as aluminum alloys. The singularity of the strain rate field at the channel wall where maximum friction forces occur was discussed and the influence of the yield surface shape on the velocity, strain and stress fields was investigated.
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Alexandrov, S., Barlat, F. Modeling axisymmetric flow through a converging channel with an arbitrary yield condition. Acta Mechanica 133, 57–68 (1999). https://doi.org/10.1007/BF01179010
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DOI: https://doi.org/10.1007/BF01179010