Hierarchical Modeling of Heterogeneous Plates

Autores

  • A.C. Carius
  • A.L. Madureira

DOI:

https://doi.org/10.5540/tema.2007.08.02.0219

Resumo

We describe here the modeling of highly heterogeneous plates, whenthree different lenght scales are present: the area of the middle surface, the platethickness, and the heterogeneity scale. We derive a two-dimensional PDE model forsuch problem, which turns out to have rough coefficients. We employ asymptotictechniques to estimate the modeling error with respect to the thickness. To tamethe numerical troubles of the resulting model we use finite elements methods ofmultiscale type.

Referências

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Publicado

2007-08-13

Como Citar

Carius, A., & Madureira, A. (2007). Hierarchical Modeling of Heterogeneous Plates. Trends in Computational and Applied Mathematics, 8(2), 219–228. https://doi.org/10.5540/tema.2007.08.02.0219

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Artigo Original