Fourier-based schemes for computing the mechanical response of composites with accurate local fields

Abstract : We modify the Green operator involved in Fourier-based computational schemes in elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in terms of centered differences on a rotated grid. Use of the modified Green operator leads, in all systems investigated, to more accurate strain and stress fields than using the discretizations proposed by Moulinec and Suquet (1994) or Willot and Pellegrini (2008). Moreover, we compared the convergence rates of the "direct" and "accelerated" FFT schemes with the different discretizations. The discretization method proposed in this work allows for much faster FFT schemes with respect to two criteria: stress equilibrium and effective elastic moduli.
Type de document :
Article dans une revue
Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 2015, 343 (3), pp.232-245. <10.1016/j.crme.2014.12.005>
Liste complète des métadonnées


https://hal-mines-paristech.archives-ouvertes.fr/hal-01096757
Contributeur : François Willot <>
Soumis le : jeudi 18 décembre 2014 - 10:55:57
Dernière modification le : jeudi 29 septembre 2016 - 01:19:14
Document(s) archivé(s) le : lundi 23 mars 2015 - 16:34:24

Fichier

willot_OGM_2014.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Collections

Citation

François Willot. Fourier-based schemes for computing the mechanical response of composites with accurate local fields. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 2015, 343 (3), pp.232-245. <10.1016/j.crme.2014.12.005>. <hal-01096757>

Partager

Métriques

Consultations de
la notice

263

Téléchargements du document

223