Geodesic
On linear versus nonlinear flow rules in strain localization analysis
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 3, pp. 451-459 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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This note contains some remarks on the analysis of bifurcation phenomena, specifically strain localization (onset of a strain rate discontinuity), in small-deformation elastoplasticity. Nonassociative flow rules are allowed for to cover constitutive models frequently adopted for frictional (and softening) materials such as concrete. The conventional derivation of the localization criterion resting on an incrementally linear "comparison material" is critically reviewed and compared to the criterion resulting from "actual" nonlinear plastic flow laws. This communication anticipates, in an abbreviated form, results to be presented elsewhere in an extended form: therefore proofs of the propositions and various comments are omitted. 
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Borré, Giorgio; Maier, Giulio. On linear versus nonlinear flow rules in strain localization analysis. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 82 (1988) no. 3, pp. 451-459. http://geodesic.mathdoc.fr/item/RLINA_1988_8_82_3_a7/

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