Generation of root and child periodic discrete structures with identical 2-point correlation.
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Research group website: http://www.mib.uni-stuttgart.de/dae
Last update: 2020-06-17
Manuscript
"On the generation of periodic discrete structures with identical two-point correlation"
by Mauricio Fernández and Felix Fritzen. Published in Proceedings of the Royal Society A, DOI 10.1098/rspa.2020.0568. Pre-print available at https://arxiv.org/abs/2002.01234 .
The present repository offers a Python 3.7 implementation for the generation of discrete periodic structures with identical 2-point correlation as described in the work cited above. The source files are contained in the src folder, where eq2pc.py is the main module. The functionalities of the routines are demonstrated in the notebooks:
- Demo 1: Search for 2PC-equivalent root structures
- Demo 2: Generation of 2PC-equivalent child structures
Additionally, routines for the computation of the Voigt, Reuss and HS bounds for linear conductivity and elasticity are provided for given structures. This is demonstrated in:
Finally, formal limitations of the work of
- Niezgoda, S.R., Fullwood, D.T., and Kalidindi, S.R. (2008): Delineation of the space of 2-point correlations in a composite material system. Acta Materialia 56, 5285 - 5292
with respect to the determination of 2PC are discussed in the related work and demonstrated in the notebook
For notebook interaction: please either download the repository or open it in
