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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.

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Author:Sarah Ricker
URN (permanent link):urn:nbn:de:hbz:386-kluedo-26598
Serie (Series number):Forschungsbericht / Technische Universität Kaiserslautern, Lehrstuhl für Technische Mechanik (2)
Advisor:Ralf Müller, Paul Steinmann, Reinhold Kienzler, Julia Mergheim
Document Type:Doctoral Thesis
Language of publication:English
Publication Date:2011/07/01
Year of Publication:2011
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2010/11/17
Date of the Publication (Server):2011/07/01
Number of page:145
Faculties / Organisational entities:Fachbereich Maschinenbau und Verfahrenstechnik
DDC-Cassification:6 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften und Maschinenbau
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 27.05.2011