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Local stochastic analysis of the effective material response of disordered two-dimensional model foams

: Hardenacke, V.; Hohe, J.


Proceedings in applied mathematics and mechanics. PAMM 7 (2007), Nr.1, S.4080001-4080002
ISSN: 1617-7061
International Congress on Industrial Applied Mathematics (ICIAM) <6, 2007, Zürich>
Gesellschaft für Angewandte Mathematik und Mechanik (GAMM Annual Meeting) <78, 2007, Zürich>
Zeitschriftenaufsatz, Konferenzbeitrag
Fraunhofer IWM ()
stochastic analysis; two-dimensional model; numerical analysis; single cell wall

The objective of the present study is a numerical analysis of disorder effects in solid structural foams caused by their random irregular micro structure. Using a strain energy based concept, the effective material response is computed in a probabilistic homogenization based on the analysis of a large scale statistically representative volume element. The stochastic information about the scatter in the material response on the lowest possible level is generated by a subsequent division of the representative volume element in substructures consisting of a single cell wall intersection and parts of the adjacent cell walls. For each of the substructures a homogenization analysis is performed. The results for the local effective stress and strain components are evaluated by means of stochastic methods.