Mechanically equivalent elastic-plastic deformations and the problem of plastic spin
Theoretical and applied mechanics, Tome 38 (2011) no. 4, p. 397
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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. 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.
DOI :
10.2298/TAM1104397S
Classification :
74C05 30L99
Keywords: Mechanically equivalent intermediate configurations, plastic spin
Keywords: Mechanically equivalent intermediate configurations, plastic spin
@article{10_2298_TAM1104397S,
author = {David J. Steigmann and Anurag Gupta},
title = {Mechanically equivalent elastic-plastic deformations and the problem of plastic spin},
journal = {Theoretical and applied mechanics},
pages = {397 },
year = {2011},
volume = {38},
number = {4},
doi = {10.2298/TAM1104397S},
zbl = {1299.74030},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1104397S/}
}
TY - JOUR AU - David J. Steigmann AU - Anurag Gupta TI - Mechanically equivalent elastic-plastic deformations and the problem of plastic spin JO - Theoretical and applied mechanics PY - 2011 SP - 397 VL - 38 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2298/TAM1104397S/ DO - 10.2298/TAM1104397S LA - en ID - 10_2298_TAM1104397S ER -
%0 Journal Article %A David J. Steigmann %A Anurag Gupta %T Mechanically equivalent elastic-plastic deformations and the problem of plastic spin %J Theoretical and applied mechanics %D 2011 %P 397 %V 38 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2298/TAM1104397S/ %R 10.2298/TAM1104397S %G en %F 10_2298_TAM1104397S
David J. Steigmann; Anurag Gupta. Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Theoretical and applied mechanics, Tome 38 (2011) no. 4, p. 397 . doi: 10.2298/TAM1104397S
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