Strain softening, slip localization and propagation: from simulations to continuum modelling

Y. Bréchet, G. Canova, L. P. Kubin

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Abstract

A continuum model is proposed for the Lüders-like behaviour of single-crystals of dilute alloys undergoing strain softening. A constitutive form is established which incorporates a spatial coupling in the form of a second gradient. The latter takes into account the elastic interactions of dislocations of like sign, as suggested by earlier results obtained with the help of a numerical simulation. An approximate one-dimensional solution is proposed which yields three possible types of behaviour: uniform deformation, static and propagative strain localizations. The main properties of the Lüders-like deformation, in particular the band velocity, are calculated and discussed as a function of the characteristic features of strain softening. Although this model is elaborated at a mesoscopic scale and does not take into account possible geometrical couplings, its results agree numerically with the existing data on the dynamics of band propagation.

Original languageEnglish
Pages (from-to)4261-4271
Number of pages11
JournalActa Materialia
Volume44
Issue number11
DOIs
Publication statusPublished - Nov 1996
Externally publishedYes

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