PittsburghV1, France, Analysis, bibRecord, 000354

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

Identifieur interne : 000354 ( France/Analysis ); précédent : 000353; suivant : 000355

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

Auteurs : Renald Brenner [France] ; Armand Jr. Beaudoin [États-Unis] ; Pierre Suquet [France] ; Amit Acharya [États-Unis]

Source :

RBID : Hal:hal-00918607

English descriptors

mix :
- Field Dislocation Mechanics, Fourier transform, in nite bicrystal, internal stresses, periodic microstructure, zero-stress dislocation distributions.

Abstract

This paper investigates the implementation of Field Dislocation Mechanics theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous elds). In this context, the uniqueness of the stress and elastic distortion elds is established. This allows to propose an e cient numerical scheme based on Fourier transform to compute the internal stress eld, for a given spatial distribution of dislocations and applied macroscopic stress. This numerical implementation is assessed by comparison with analytical solutions for homogeneous as well as heterogeneous elastic media. A particular insight is given to the critical case of stress-free dislocation microstructures which represent equilibrium solutions of the Field Dislocation Mechanics theory.

Url:

https://hal.archives-ouvertes.fr/hal-00918607

Affiliations:

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Hal:hal-00918607

Le document en format XML

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<front><div type="abstract" xml:lang="en">This paper investigates the implementation of Field Dislocation Mechanics theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous elds). In this context, the uniqueness of the stress and elastic distortion elds is established. This allows to propose an e cient numerical scheme based on Fourier transform to compute the internal stress eld, for a given spatial distribution of dislocations and applied macroscopic stress. This numerical implementation is assessed by comparison with analytical solutions for homogeneous as well as heterogeneous elastic media. A particular insight is given to the critical case of stress-free dislocation microstructures which represent equilibrium solutions of the Field Dislocation Mechanics theory.</div>
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Numerical implementation of static Field Dislocation Mechanics theory for periodic media

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

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