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Local probabilistic homogenization schemes for assessment of material uncertainties in solid foams
Author(s) -
Hohe Jörg,
Beckmann Carla
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210202
Subject(s) - homogenization (climate) , probabilistic logic , representative elementary volume , computer science , materials science , mathematics , statistical physics , composite material , microstructure , statistics , physics , biodiversity , ecology , biology
The present study is concerned with a numerical scheme for prediction of the effective properties of solid foams considering their uncertainty. The approach is based on an analysis of a large‐scale, statistically representative volume element which is subdivided into small‐scale testing volume elements. Application of a standard homogenization scheme to the testing volume elements together with a stochastic evaluation yields a complete probabilistic characterization of the material which may be used for a random field definition of the material behaviour in a macroscopic effective field analysis of foam structures. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)