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On the generation of periodic discrete structures with identical two-point correlation

, und . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2242): 20200568 (2020)

Zusammenfassung

Strategies for the generation of periodic discrete structures with identical two-point correlation—called 2PC-equivalent—are developed. It is shown that starting from a set of 2PC-equivalent root structures, 2PC-equivalent child structures of arbitrary resolution and number of phases (e.g. material phases) can be generated based on phase extension through trivial embeddings, kernel-based extension and phase coalescence. Proofs are provided by means of discrete Fourier transform theory. A Python 3 implementation is offered for reproduction of examples and future applications.

Beschreibung

2PC correlation, equivalence, generation homogenization of periodic structures, two-point

Links und Ressourcen

DOI:
10.1098/rspa.2020.0568
BibTeX-Schlüssel:
fernandez2020c
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