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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Numerical prediction of disorder effects in solid foams using a probabilistic homogenization scheme
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Postprint urn:nbn:de:0011n3517969 (4.3 MByte PDF) MD5 Fingerprint: 648b7ee872705b19f1c28d14a2ddcb29 Created on: 1.3.2017 
 Mechanics of materials 78 (2014), pp.2243 ISSN: 01676636 
 Deutsche Forschungsgemeinschaft DFG Ho1852/62 

 English 
 Journal Article, Electronic Publication 
 Fraunhofer IWM () 
Abstract
The present study is concerned with a numerical prediction of uncertainties in the macroscopic mechanical properties of microheterogeneous materials with uncertain microstructure. As a model material, solid foams are employed. The stochastic information on the uncertainty is gained in multiple numerical homogenization analyses of smallscale testing volume elements. The local relative density, the cell size distribution, the cell geometry and the spatial orientation of the testing volume elements are assumed to form the set of the relevant stochastic variables. Selected microstructural cases are analyzed for their macroscopic material response. Based on the probability distributions for the stochastic variables defining the microstructures of the testing volume elements, the probability distributions for the mesoscopic material properties are obtained. For the numerical homogenization of the testing volume elements, an enhanced finite element technique is employed, where the components of the macroscopic deformation gradient are introduced as generalized degrees of freedom. Assuming periodic boundary conditions, the global degrees of freedom interact with the conventional displacement degrees of freedom of the discretized microstructure via special boundary coupling elements. The mesoscopic stresses are obtained in a rather efficient manner as the generalized reaction forces for the global degrees of freedom.