Abstract
Highly symmetrical crystalline materials usually possess a sufficient number of equivalent slip systems to accommodate a given plastic strain, i.e. to identify five components in a second-rank tensor. A direct geometrical representation would thus require a five-dimensional space when applied to any super-abundant set of slip systems. However, such a difficulty can be avoided: a three-dimensional polyhedron of appropriate crystallographic symmetry is found to provide a correct description of all interdependence relationships between the glide systems. As an example, this isomorphism is used here in the effective selection of active slips.
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