• English
  • Deutsch
  • Log In
    Password Login
    or
  • Research Outputs
  • Projects
  • Researchers
  • Institutes
  • Statistics
Repository logo
Fraunhofer-Gesellschaft
  1. Home
  2. Fraunhofer-Gesellschaft
  3. Konferenzschrift
  4. An efficient algorithm to include sub-voxel data in FFT-based homogenization for heat conductivity
 
  • Details
  • Full
Options
2015
Conference Paper
Titel

An efficient algorithm to include sub-voxel data in FFT-based homogenization for heat conductivity

Abstract
The FFT-based homogenization method introduced by Moulinec-Suquet (C R Acad Sci. II, Méc Phys Chim Astron 318(11):1417-1423, 1994; Comput Methods Appl Mech Eng 157(1-2):69-94, 1998) has recently emerged as a powerful tool for numerical homogenization on regular voxel grids. Unfortunately, the treatment of voxels occupied by multiple materials is not discussed in the original method. In this article and in the context of effective heat conductivity, we propose to furnish the interfacial voxels with appropriately chosen microstructural material estimates. These so-called composite voxels take into account volume fractions and normal data, and lead to drastic improvement of the local solution quality and the accuracy of the computed effective properties, shown by numerical experiments on a microstructure with analytical solution and a composite of industrial interest.
Author(s)
Merkert, D.
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Andrä, H.
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Kabel, M.
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Schneider, M.
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Simeon, B.
TU Kaiserlautern
Hauptwerk
Recent Trends in Computational Engineering - CE2014
Konferenz
International Workshop on Computational Engineering (CE) 2014
Thumbnail Image
DOI
10.1007/978-3-319-22997-3_16
Language
English
google-scholar
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
  • Cookie settings
  • Imprint
  • Privacy policy
  • Api
  • Send Feedback
© 2022