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FFT-based homogenization on boundary-conforming grids of finite elements
1 : Institut de Recherche en Génie Civil et Mécanique
(GeM)
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Site web
Centre National de la Recherche Scientifique, Nantes Université - École Centrale de Nantes, Nantes Université - Ecole Polytechnique de l'Université de Nantes
1, rue de la Noë BP92101 44321 Nantes cedex 3 -
France
3 : Czech Technical University in Prague
(CTU)
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Site web
* : Auteur correspondant
Thákurova 7, 166 29 Prague 6 -
République tchèque
Computational homogenization with fast Fourier transforms (FFT) is usually formulated on a uniform grid. The spatial convergence is here improved by transforming the grid into a boundary-conforming one. The mechanical problem is discretized using the finite element method (FEM), with isoparametric transformation of elements and application of the Green operator in the pulled-back configuration. Numerical investigations confirm that the homogenized properties and the local fields obtained on boundary-conforming grids have much faster spatial convergence than uniform grid ones.
