Journal
ACTA MECHANICA
Volume 232, Issue 6, Pages 2051-2100Publisher
SPRINGER WIEN
DOI: 10.1007/s00707-021-02962-1
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Funding
- Projekt DEAL
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Computational homogenization methods based on FFT have become popular for complex microstructures, with improved understanding leading to broader applications and advancements in the original approach.
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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