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Communication Dans Un Congrès Computer Methods in Materials Science Année : 2013

A POD/PGD reduction approach for an efficient reparameterization of data-driven material microstructure models

Liang Xia
  • Fonction : Auteur
Balaji Raghavan
Piotr Breitkopf
  • Fonction : Auteur
Weihong Zhang
  • Fonction : Auteur

Résumé

The general idea here is to produce a high quality representa tion of the indicator function of different phases of the material while adequately scaling with the storage require ments for high resolution Digital Material Representation (DMR). To this end, we pr opose a three-stage reduction algorithm comb ining Proper Orthogonal Decomposition (POD) and Proper Generalized Decomposition (PGD)- first, each snapshot pixel/voxel matrix is decomposed into a linear com- bination of tensor products of 1D basis vectors. Next a common basis is determined for the entire set of microstructure snapshots. Finally, the analysis of the dimensionality of the resulting nonlinear sp ace yields the minimal set of parameters needed in order to represent the microstructure with sufficient precision. We showcase this approach by constructing a low-dimensional model of a two-phase composite microstructure
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Dates et versions

hal-00984659 , version 1 (28-04-2014)

Identifiants

  • HAL Id : hal-00984659 , version 1

Citer

Liang Xia, Balaji Raghavan, Piotr Breitkopf, Weihong Zhang. A POD/PGD reduction approach for an efficient reparameterization of data-driven material microstructure models. 20th Conference on Computer Methods in Materials Technology, ECCOMAS KomPlasTech 2013, Jan 2013, Zakopane, Poland. pp.219-225. ⟨hal-00984659⟩
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