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A stochastic homogenization scheme for damaged composites
Author(s) -
Hürkamp André,
Nackenhorst Udo
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210204
Subject(s) - homogenization (climate) , computation , monte carlo method , interpolation (computer graphics) , scheme (mathematics) , mathematical optimization , mathematics , computer science , materials science , statistical physics , composite material , algorithm , physics , mathematical analysis , statistics , animation , biodiversity , ecology , computer graphics (images) , biology
A stochastic homogenization scheme for the computation of effective elastic properties for damaged micro‐heterogeneous materials is presented. The statistics is captured by uncertain material properties as well as stochastic interpolation between the upper and lower Hashin‐Shtrikman bounds. The resulting multidimensional stochastic problem is solved via sophisticated Monte Carlo methods and applied to Ultra‐High‐Performance‐Concrete. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)