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A review of nonlinear FFT-based computational homogenization methods

Schneider, Matti

Abstract:
Since their inception, computational homogenization methods based on the fast Fourier transform (FFT) have grown in popularity, establishing themselves as a powerful tool applicable to complex, digitized microstructures. At the same time, the understanding of the underlying principles has grown, in terms of both discretization schemes and solution methods, leading to improvements of the original approach and extending the applications. This article provides a condensed overview of results scattered throughout the literature and guides the reader to the current state of the art in nonlinear computational homogenization methods using the fast Fourier transform.

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Verlagsausgabe §
DOI: 10.5445/IR/1000131154
Veröffentlicht am 12.04.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 0001-5970, 1619-6937
KITopen-ID: 1000131154
Erschienen in Acta Mechanica
Verlag Springer
Vorab online veröffentlicht am 24.03.2021
Nachgewiesen in Web of Science
Scopus
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