Plastic yielding and work hardening of single crystals in a soft device

K.C. Le; Q.S. Nguyen

doi:10.1016/j.crme.2009.10.004

Plastic yielding and work hardening of single crystals in a soft device
[Déformation antiplane et écrouissage d'un monocristal lors d'un essai à bord libre]

K.C. Le ¹ ; Q.S. Nguyen ²

¹ Ruhr-Universität Bochum, Lehrstuhl für Allgemeine Mechanik, Universitaetsstr. 150, 44780 Bochum, Germany
² LMS, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 709-715.

Résumé
Abstract

On propose une solution analytique du problème de déformation antiplane d'un monocristal lors d'un essai à bord libre dans le cadre de la théorie mathématique des dislocations. La dépendance de la contrainte limite en fonction de la taille du cristal dévie légèrement de la relation de Hall–Petch. On montre que le comportement d'écrouissage obtenu dans ce cas dissipatif est pratiquement identique au cas du monocristal sous déplacement controlé au bord.

An analytical solution to the problem of an anti-plane constrained shear of single crystals placed in a soft device within the continuum dislocation theory is found. The dependence of the nucleation stress on the grain size exhibits a modest deviation from the Hall–Petch relation. It is shown that, as soon as the dissipation is taken into account, the hardening behavior becomes nearly identical to that of single crystals in a hard device.

Reçu le : 2009-06-17
Accepté le : 2009-10-13
Publié le : 2009-10-22

DOI : 10.1016/j.crme.2009.10.004

Keywords: Continuum mechanics, Crystal, Twist boundary, Dislocation, Yielding, Hardening
Mot clés : Milieux continus, Cristal, Joint de torsion, Dislocation, Déformation, Écrouissage

Affiliations des auteurs :

K.C. Le ¹ ; Q.S. Nguyen ²

¹ Ruhr-Universität Bochum, Lehrstuhl für Allgemeine Mechanik, Universitaetsstr. 150, 44780 Bochum, Germany
² LMS, École polytechnique, 91128 Palaiseau cedex, France

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     title = {Plastic yielding and work hardening of single crystals in a soft device},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {709--715},
     publisher = {Elsevier},
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     year = {2009},
     doi = {10.1016/j.crme.2009.10.004},
     language = {en},
}

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K.C. Le; Q.S. Nguyen. Plastic yielding and work hardening of single crystals in a soft device. Comptes Rendus. Mécanique, Volume 337 (2009) no. 11-12, pp. 709-715. doi : 10.1016/j.crme.2009.10.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.10.004/

Bibliographie
Cité par

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