Ricker, S.S.RickerMergheim, J.J.MergheimSteinmann, P.P.SteinmannMüller, R.R.Müller2022-03-052022-03-052011https://publica.fraunhofer.de/handle/publica/25054510.1002/pamm.201110264The work at hand treats the extension of the classical computational homogenization scheme towards the multi-scale computation of material quantities like the Eshelby stresses and material forces. To this end, two approaches are elaborated and their consistency with respect to the virtual work principle, in terms of a Hill-Mandel type condition, is checked.en510journal article