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Multi-scale methods in material mechanics

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Modell<strong>in</strong>g of Microstructure/Homogenizationvolumetric:Torquato (2002)Nemat-Nasser (2004)Zohdi/Wriggers (2005)contact:Orlik (2004)Stupkiewicz (2007)Temizer/Wriggers (2008)th<strong>in</strong> structures:Geers et al. (2007)Hirschberger et al. (2008)Grytz/Meschke (2008)Löhnert/Wriggers (2008)• Bulk Inhomogeneities: high oscillatory stress fields• Volumetric homogenization:➡ reduces the complexity of the macrostructural analysis➡ construction of an effective <strong>material</strong> micromechanical test<strong>in</strong>gHomogenization Procedure for a MaterialValidationbyExperimentsMicrostructureMacroscopicMaterial EquationNumerical Modeland AnalyisUpscal<strong>in</strong>g

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