Visit to e-Xstream Luxembourg with Legato visiting researchers from Prague. Towards automatic random microstructure generation for heterogeneous materials. Wang tiles.

We had today a fascinating discussion on the generation of random microstructures for heterogeneous materials. Jan Novák, Jan Zeman and their colleagues from Prague presented novel ideas on the generation of random microstructures. Relevant papers can be found here:

Compressing random microstructures via stochastic Wang tilings
J Novák, A Kučerová, J Zeman – Physical Review E, 2012 – APS
http://arxiv.org/pdf/1206.0933

Microstructural enrichment functions based on stochastic Wang tilings
J Novák, A Kučerová, J Zeman – Modelling and Simulation in …, 2013
http://arxiv.org/pdf/1110.4183

Aperiodic compression and reconstruction of real-world material systems based on Wang tiles
M Doškář, J Novák, J Zeman – Physical Review E, 2014 – APS

Beyond periodic compressions of random microstructures
M Doškář, J Novák, J Zeman – arXiv preprint arXiv:1406.7812, 2014 – arxiv.org
http://arxiv.org/pdf/1406.7812

Solution to Microstructural Fields Based on Schur Complement Method and Wang Tiles L Zrubek, J Kruis, J Novák – Main Thematic Areas, 2014 – esco2014.femhub.com
http://www.esco2014.femhub.com/docs/ESCO2014_Book_of_Abstracts.pdf#page=234

On Integration of Synthesized Microstructural Enrichment Functions in Partition of Unity and Trefftz Method J Novák – FEMTEC 2013, 2013 – femhub.com

Fracture in quasicrystals: vistas PM Mariano, E Radi – … and uncertainty quantification of materials and …, 2013 – iris.unimore.it https://iris.unimore.it/bitstream/11380/977499/1/programme_iutam2013.pdf

Compressing random microstructures via stochastic Wang tilings J Novák, A Kučerová, J Zeman – Physical Review E, 2012 – APS http://arxiv.org/pdf/1206.0933

Microstructural enrichment functions based on stochastic Wang tilings J Novák, A Kučerová, J Zeman – Modelling and Simulation in …, 2013 http://arxiv.org/pdf/1110.4183

Aperiodic compression and reconstruction of real-world material systems based on Wang tiles M Doškář, J Novák, J Zeman – Physical Review E, 2014 – APS

Beyond periodic compressions of random microstructures M Doškář, J Novák, J Zeman – arXiv preprint arXiv:1406.7812, 2014 – arxiv.org http://arxiv.org/pdf/1406.7812