Hardenacke, V.V.HardenackeHohe, J.J.Hohe2022-03-042022-03-042009https://publica.fraunhofer.de/handle/publica/21830710.1016/j.ijsolstr.2008.10.008The 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 geometrically non-linear homogenization analysis. The probabilistic homogenization is 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. The approach is illustrated by a number of examplary studies on the uncertainty of the effective material response of two-dimensional model foams with linear and non-linear elastic material behavior on the cell wall level of structural hierarchy.ensolid foammicro structural disordereffective propertynumerical homogenizationstochastic method620531journal article