Abstract
A relatively simple model is proposed to describe the large strain plastic deformation modes of individual grains in a polycrystalline aggregate undergoing constrained flow. Based upon the Taylor or full constraints theory, the transition to a relaxed constraints mode of grain deformation is modelled continuously by allowing the grains to select their current deformation mode according to a minimum second order plastic work criterion. This second order work term is shown to depend upon the following work hardening mechanisms: 1. (i) slip system hardening, 2. (ii) rotational hardening, and 3. (iii) grain interaction hardening. This continuous constraints model is illustrated by a semi-analytical two-dimensional example and the influence of the different hardening mechanisms discussed.
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