Engineering Mechanics

Proceedings Vol. 19 (2013)

ENGINEERING MECHANICS 2013

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

 

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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