Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. (English) Zbl 1299.74030

Summary: The problem of plastic spin is phrased in terms of a notion of mechanical equivalence among local intermediate configurations of an elastic/plastic crystalline solid. This idea is used to show that, without further qualification, the plastic spin may be suppressed at the constitutive level. However, the spin is closely tied to an underlying undistorted crystal lattice which, once specified, eliminates the freedom afforded by mechanical equivalence. As a practical matter, a constitutive specification of plastic spin is therefore required. The suppression of plastic spin thus emerges as merely one such specification among many. Restrictions on these are derived in the case of rate-independent response.


74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
30L99 Analysis on metric spaces
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