Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Periodic unit cell-based simulation of materials with random microstructure

J. Zeman*
Department of Structural Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29, Prague 6, Czech Republic

  Full Text
In this paper a procedure is introduced for the generation of idealized periodic unit cells approximating real complex microstructures. In particular, geometry of such a unit cell is derived from an optimization procedure formulated in terms of statistical descriptors characterizing a microstructure of random multiphase media. Applications to fiber-reinforced composites, woven composites and masonry structures are examined to illustrate the applicability of the presented methodology.

Keywords:  Periodic unit cell; Random microstructure; Global stochastic optimization; Fiber-reinforced composites; Woven composites; Masonry structures

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