Publication detail
Wang tile and schur complement in eavaluation of microstructural fields
ZRŮBEK, L. KRUIS, J. NOVÁK, J. KUČEROVÁ, A.
Original Title
Wang tile and schur complement in eavaluation of microstructural fields
Type
conference paper
Language
English
Original Abstract
This contribution addresses the method of Wang tilings used to reproduce fluctuating stresses, strains and displacements in random materials subject to uniform strain excitation. Using small sets of Wang tiles allows to avoid an abrupt evaluation of fluctuating fields in large macro-scopic domain and synthesize them by neans of stochastic tilings algorithm instead. Assuming each tile discretized by the same regular finite element mesh, all admissible micro-scale problems can be obtained effectively by the Schur complement method.
Keywords
microstructure, Wang tilings, stress field synthesis, Schur complement method
Authors
ZRŮBEK, L.; KRUIS, J.; NOVÁK, J.; KUČEROVÁ, A.
RIV year
2013
Released
19. 9. 2013
Location
Praha, Česká republika
ISBN
978-80-01-05332-4
Book
Nano and Macro Mechanics 2013
Pages from
1
Pages to
10
Pages count
10
BibTex
@inproceedings{BUT110062,
author="Lukáš {Zrůbek} and J. {Kruis} and Jan {Novák} and Anna {Kučerová}",
title="Wang tile and schur complement in eavaluation of microstructural fields",
booktitle="Nano and Macro Mechanics 2013",
year="2013",
pages="1--10",
address="Praha, Česká republika",
isbn="978-80-01-05332-4"
}