## Multi-Scale Modeling and Simulation in Configurational Mechanics

• This thesis 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, microscopic body forces are considered in the scale-transition, which may emerge due to inhomogeneities in the material. Regarding the determination of material quantities based on the underlying microscopic structure different approaches are compared by means of their virtual work consistency. In analogy to the homogenization of spatial quantities, this consistency is discussed within Hill-Mandel type conditions.

Author: Sarah Ricker urn:nbn:de:hbz:386-kluedo-26598 978-3-942695-02-2 Forschungsbericht / Technische Universität Kaiserslautern, Lehrstuhl für Technische Mechanik (2) Ralf Müller, Paul Steinmann, Reinhold Kienzler, Julia Mergheim Doctoral Thesis English 2011/07/01 2011 Technische Universität Kaiserslautern Technische Universität Kaiserslautern 2010/11/17 145 Fachbereich Maschinenbau und Verfahrenstechnik 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten

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