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"
}