Tunable surface boundary conditions in strain gradient crystal plasticity model

Boundary conditions; Dislocations; Finite elements; Strain gradient crystal plasticity; Surface effects; Crystallography; Finite element method; Grain boundaries; Numerical methods; Plasticity; Single crystals; Dislocation densities; Elastic foundation; Geometrically necessary dislocations; Ni single crystals; Strain gradients; Surface boundary conditions; Surface effect; Surface permeability; Dislocations (crystals)

Abstract :

[en] The behavior of dislocations in the neighborhood of a metallurgical interface or a free surface can be totally different depending on the boundary conditions. Dislocations cease to move and accumulate around impermeable interfaces, such as grain boundaries or hard (i.e. coated or oxidized) external surfaces. On the contrary, dislocations annihilate on free surfaces, as supported by the image force concept. However the behavior of dislocations depends on the true surface permeability, which falls between these two idealized cases. In this paper, two different numerical methods are applied to model the intermediate surface behaviors: the virtual image geometrically necessary dislocation approach and the generalized elastic foundation approach while a strain gradient crystal plasticity constitutive law simulates the response of a Ni single crystal. It is demonstrated that a uniform dislocation density field on the surface can only be obtained by a variant of the generalized elastic foundation approach. © 2020 Elsevier Ltd

Disciplines :

Materials science & engineering

Author, co-author :

Yuan, Sibo ; Université de Liège - ULiège > Département ArGEnCo > Département Argenco : Secteur MS2F

Duchene, Laurent ; Université de Liège - ULiège > Département ArGEnCo > Analyse multi-échelles des matériaux et struct. du gén. civ.

Keller, C.; Groupe de Physique des Matériaux, INSA Rouen, université de Rouen, UMR CNRS 6634, Saint-Etienne du Rouvray, 76800, France

Hug, E.; Laboratoire de Cristallographie et Science des Matériaux, UNICAEN, Caen, 14050, France

Habraken, Anne ; Université de Liège - ULiège > Département ArGEnCo > Département ArGEnCo

Language :

English

Title :

Tunable surface boundary conditions in strain gradient crystal plasticity model

Publication date :

March 2020

Journal title :

Mechanics of Materials

ISSN :

0167-6636

Publisher :

Elsevier B.V.

Volume :

145

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Funders :

INRS - Institut National de la Recherche Scientifique
CÉCI - Consortium des Équipements de Calcul Intensif [BE]

Available on ORBi :

since 27 May 2020

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