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Materials 2018, 11(8), 1386; https://doi.org/10.3390/ma11081386

Influence of the Non-Schmid Effects on the Ductility Limit of Polycrystalline Sheet Metals

1
Université de Lorraine, CNRS, Arts et Métiers ParisTech, LEM3, F-57000 Metz, France
2
Laboratory of Excellence on Design of Alloy Metals for Low-mAss Structures (DAMAS)—Université de Lorraine, F-57073 Metz, France
*
Author to whom correspondence should be addressed.
Received: 30 June 2018 / Revised: 27 July 2018 / Accepted: 2 August 2018 / Published: 8 August 2018
(This article belongs to the Special Issue Design of Alloy Metals for Low-Mass Structures)
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Abstract

The yield criterion in rate-independent single crystal plasticity is most often defined by the classical Schmid law. However, various experimental studies have shown that the plastic flow of several single crystals (especially with Body Centered Cubic crystallographic structure) often exhibits some non-Schmid effects. The main objective of the current contribution is to study the impact of these non-Schmid effects on the ductility limit of polycrystalline sheet metals. To this end, the Taylor multiscale scheme is used to determine the mechanical behavior of a volume element that is assumed to be representative of the sheet metal. The mechanical behavior of the single crystals is described by a finite strain rate-independent constitutive theory, where some non-Schmid effects are accounted for in the modeling of the plastic flow. The bifurcation theory is coupled with the Taylor multiscale scheme to predict the onset of localized necking in the polycrystalline aggregate. The impact of the considered non-Schmid effects on both the single crystal behavior and the polycrystal behavior is carefully analyzed. It is shown, in particular, that non-Schmid effects tend to precipitate the occurrence of localized necking in polycrystalline aggregates and they slightly influence the orientation of the localization band. View Full-Text
Keywords: crystal plasticity; non-Schmid effects; Taylor multiscale scheme; localized necking; bifurcation theory crystal plasticity; non-Schmid effects; Taylor multiscale scheme; localized necking; bifurcation theory
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Ben Bettaieb, M.; Abed-Meraim, F. Influence of the Non-Schmid Effects on the Ductility Limit of Polycrystalline Sheet Metals. Materials 2018, 11, 1386.

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