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On the finite Radon transform for the computational homogenization of conductivity

This paper investigates the computational homogenization of thermal conductivity problems using a finite Radon transform as proposed by Derraz and coworkers, implemented using the Fourier slice theorem to allow utilization of the fast Fourier transform-based frameworks and methods. For the finite Radon transform both the original approach and the consistent approach proposed by Jabs and Schneider are used. The two discretizations are compared to the Moulinec–Suquet discretization using numerical examples. In doing so the convergence of the consistent approach is shown and the discussion of the original Radon approach is extended.

Vorschau

Einordnung

Erschienen in:
BeyondRVE : Beyond Representative Volume Elements for Random Heterogeneous Materials
(26.11.2024)
Datum der Veröffentlichung:
26.11.2024
URN:
urn:nbn:de:hbz:465-20250224-144639-1
DOI:
10.1002/pamm.202400189
Sprache:
Englisch
Ressourcentyp:
Text
Kollektion:
E-Publikationen
Sachgruppen der Deutschen Nationalbibliographie:
620 Ingenieurwissenschaften und Maschinenbau
Einrichtung:
Fakultät für Ingenieurwissenschaften, Bauwissenschaften, Bauingenieurwesen, Ingenieurmathematik
Förderung:

The support of the European Research Council through the Horizon Europe program (Project No. 101040238) is gratefully acknowledged by M.S. L.J. acknowledges the funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation, Grant No. 516929769).

Open access funding enabled and organized by Projekt DEAL.

Informationen zur Erstveröffentlichung:

Jabs, L., & Schneider, M. (2024). On the finite Radon transform for the computational homogenization of conductivity. Proceedings in Applied Mathematics and Mechanics, 24, e202400189. https://doi.org/10.1002/pamm.202400189

First published: 26 November 2024
Versionskennzeichen:
Version of Record / Verlagsversion

Zitieren

Zitierform:
Jabs, Lukas/Schneider, Matti (2024): On the finite Radon transform for the computational homogenization of conductivity. In: BeyondRVE: Beyond Representative Volume Elements for Random Heterogeneous Materials. Online unter: https://nbn-resolving.org/urn:nbn:de:hbz:465-20250224-144639-1.
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Rechte

Rechteinhaber:

© The Author(s) 2024

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CC BY 4.0 LogoCreative Commons Namensnennung 4.0 Lizenz (CC BY 4.0)
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