Comptes Rendus
no. S3
Discontinuous yielding of pristine micro-crystals
Oguz Umut Salman1   ; Roberta Baggio1  ; Brigitte Bacroix1  ; Giovanni Zanzotto2 ; Nikolai Gorbushin3  ; Lev Truskinovsky3  
1 CNRS, LSPM UPR3407, Université Sorbonne Paris Nord, Villetaneuse, 93430, France
2 DPG, Université di Padova, Via Venezia 8, 35131 Padova, Italy
3 PMMH, CNRS-UMR 7636, ESPCI PSL, F-75005 Paris, France
Comptes Rendus. Physique, Plasticity and Solid State Physics, Volume 22 (2021) no. S3, pp. 201-248.

We study the mechanical response of a dislocation-free 2D crystal under homogenous shear using a new mesoscopic approach to crystal plasticity, a Landau-type theory, accounting for the global invariance of the energy in the space of strain tensors while operating with an infinite number of equivalent energy wells. The advantage of this approach is that it eliminates arbitrariness in dealing with topological transitions involved, for instance, in nucleation and annihilation of dislocations. We use discontinuous yielding of pristine micro-crystals as a benchmark problem for the new theory and show that the nature of the catastrophic instability, which in this setting inevitably follows the standard affine response, depends not only on lattice symmetry but also on the orientation of the crystal in the loading device. The ensuing dislocation avalanche involves cooperative dislocation nucleation, resulting in the formation of complex microstructures controlled by a nontrivial self-induced coupling between different plastic mechanisms.

Première publication :
Publié le :
DOI : 10.5802/crphys.77
Mots-clés : Plasticity, Dislocations, Landau theory, Nucleation, Pattern formation, Brittleness

Oguz Umut Salman 1 ; Roberta Baggio 1 ; Brigitte Bacroix 1 ; Giovanni Zanzotto 2 ; Nikolai Gorbushin 3 ; Lev Truskinovsky 3

1 CNRS, LSPM UPR3407, Université Sorbonne Paris Nord, Villetaneuse, 93430, France
2 DPG, Université di Padova, Via Venezia 8, 35131 Padova, Italy
3 PMMH, CNRS-UMR 7636, ESPCI PSL, F-75005 Paris, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Oguz Umut Salman; Roberta Baggio; Brigitte Bacroix; Giovanni Zanzotto; Nikolai Gorbushin; Lev Truskinovsky. Discontinuous yielding of pristine micro-crystals. Comptes Rendus. Physique, Plasticity and Solid State Physics, Volume 22 (2021) no. S3, pp. 201-248. doi : 10.5802/crphys.77. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.77/

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