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Multi-scale modeling and simulation in configurational mechanics

: Ricker, Sarah
: Müller, R.; Steinmann, P.; Kienzler, R.; Staub, Sarah

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Kaiserslautern, 2011, VI, 134 pp.
Kaiserslautern, TU, Diss., 2011
ISBN: 978-3-942695-02-2
URN: urn:nbn:de:hbz:386-kluedo-26598
Dissertation, Electronic Publication
Fraunhofer ITWM ()

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.