Comptes Rendus
Discontinuous yielding of pristine micro-crystals
Comptes Rendus. Physique, 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.

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DOI: 10.5802/crphys.77
Keywords: 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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
     author = {Oguz Umut Salman and Roberta Baggio and Brigitte Bacroix and Giovanni Zanzotto and Nikolai Gorbushin and Lev Truskinovsky},
     title = {Discontinuous yielding of pristine micro-crystals},
     journal = {Comptes Rendus. Physique},
     pages = {201--248},
     publisher = {Acad\'emie des sciences, Paris},
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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, Volume 22 (2021) no. S3, pp. 201-248. doi : 10.5802/crphys.77.

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