Abstract

Elastic-plastic torsion of a Cosserat-type rod of a solid circular cross-section is considered. The governing equations are linearised using a small parameter which is equal to the relative grain rize. The linearized problem is subjected to asymptotic analysis based on the singular perturbation technique. Qualitative features of the elastic-plastic state of the rod are discussed. Apparently, this is the first explicit asymptotic solution for the elastic-plastic Cosserat continuum.

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