PittsburghV1, France, Analysis, bibRecord, 000319

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

Identifieur interne : 000319 ( France/Analysis ); précédent : 000318; suivant : 000320

Numerical implementation of static Field Dislocation Mechanics theory for periodic media

Auteurs : R. Brenner [France] ; A. J. Beaudoin [États-Unis] ; P. Suquet [France] ; A. Acharya [États-Unis]

Source :

Philosophical magazine : (2003. Print) [ 1478-6435 ] ; 2014.

RBID : Pascal:14-0164782

Descripteurs français

Pascal (Inist)
- Implémentation, Théorie champ, Dislocation, Microstructure, Module élasticité, Champ périodique, Déformation élastique, Distorsion, Transformation Fourier, Contrainte interne, Propriété mécanique, Champ interne, Distribution contrainte, Répartition spatiale, Matériau hétérogène, Effet contrainte, Solution analytique, Méthode analytique, 6172L, 6220D, 6860B, 4335N.

English descriptors

KwdEn :
- Analytical method, Analytical solution, Dislocations, Distortion, Elastic deformation, Elastic modulus, Field theories, Fourier transformation, Implementation, Inhomogeneous materials, Internal field, Internal stresses, Mechanical properties, Microstructure, Periodic field, Spatial distribution, Stress distribution, Stress effects.

Abstract

This paper investigates the implementation of Field Dislocation Mechanics (FDM) theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous fields). In this context, the uniqueness of the stress and elastic distortion fields is established. This allows to propose an efficient numerical scheme based on Fourier transform to compute the internal stress field, 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 FDM theory.

Affiliations:

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Pascal:14-0164782

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 (FDM) theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous fields). In this context, the uniqueness of the stress and elastic distortion fields is established. This allows to propose an efficient numerical scheme based on Fourier transform to compute the internal stress field, 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 FDM 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

Source :

Descripteurs français

English descriptors

Abstract

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Links to Exploration step

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