Engineering Mechanics

International Conference

Proceedings Vol. 19 (2013)


ENGINEERING MECHANICS 2013

19th INTERNATIONAL CONFERENCE
May 13 – 16, 2013, Svratka, Czech Republic
;
Editors: Igor Zolotarev and Vojtěch Radolf

Copyright © 2013 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-47-5 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

PARALLEL COMPUTATION OF MICROSTRUCTURAL FIELDS BASED ON EXTENDED WANG TILE SETS
Zrůbek L., Kruis J., Novák J., Kučerová A.
pages 700 - 709, full text

This contribution addresses the method of Wang tilings used to reproduce fluctuating stresses, strains and displacements in materials with random microstructure subject to uniform strain excitation. Using small sets of Wang tiles allows to avoid an abrupt evaluation of fluctuating fields in a large macro-scopic domain, carrying a complete number of non-local solutions to desired mechanical quantities and synthesized by means of stochastic tiling algorithm. 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.


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