Continuous modeling of the structure of symmetric tilt boundaries

Abstract : In polycrystals, the discontinuity of lattice rotation occurring across symmetric tilt boundaries is accommodated by the periodic arrangement of atoms in structural units. A crossover between this atomistic description and a continuous representation of tilt boundaries is carried out by designing periodic arrays of appropriately chosen smooth disclination dipoles. A comprehensive description of the boundary structure in terms of elastic strain, curvature and energy fields is then derived from a continuous theory of dislocation and disclination density fields, by allowing the initial distributions to relax in their own stress/couple stress fields. The resulting fields are obtained at nanoscale from finite element approximations of the theory. They compare remarkably well with predictions from molecular statics and experimental data. Beyond this description of grain boundaries as continua, the theory naturally provides a basis for coarse-grained spatio-temporal continuous descriptions of polycrystals.
Type de document :
Article dans une revue
International Journal of Solids and Structures, Elsevier, 2014, 51 (6), pp.1434-1441. 〈10.1016/j.ijsolstr.2013.12.031〉
Liste complète des métadonnées

https://hal.univ-lorraine.fr/hal-01503446
Contributeur : Lem3 Ul <>
Soumis le : vendredi 7 avril 2017 - 10:24:10
Dernière modification le : mercredi 12 septembre 2018 - 01:27:12

Lien texte intégral

Identifiants

Citation

Claude Fressengeas, Vincent Taupin, L. Capolungo. Continuous modeling of the structure of symmetric tilt boundaries. International Journal of Solids and Structures, Elsevier, 2014, 51 (6), pp.1434-1441. 〈10.1016/j.ijsolstr.2013.12.031〉. 〈hal-01503446〉

Partager

Métriques

Consultations de la notice

111