TY - THES
A1 - Hirschberger, Claudia Britta
T1 - A Treatise on Micromorphic Continua. Theory, Homogenization, Computation
N2 - The main goal of this work is to model size effects, as they occur in materials with an intrinsic microstructure at the consideration of specimens that are not by orders larger than this microstructure. The micromorphic continuum theory as a generalized continuum theory is well suited to account for the occuring size effects. Thereby additional degrees of freedoms capture the independent deformations of these microstructures, while they provide additional balance equation. In this thesis, the deformational and configurational mechanics of the micromorphic continuum is exploited in a finite-deformation setting. A constitutive and numerical framework is developed, in which also the material-force method is advanced. Furthermore the multiscale modelling of thin material layers with a heterogeneous substructure is of interest. To this end, a computational homogenization framework is developed, which allows to obtain the constitutive relation between traction and separation based on the properties of the underlying micromorphic mesostructure numerically in a nested solution scheme. Within the context of micromorphic continuum mechanics, concepts of both gradient and micromorphic plasticity are developed by systematically varying key ingredients of the respective formulations.
KW - Nichtlineare Kontinuumsmechanik
KW - Nichtlineare Finite-Elemente-Methode
KW - Mikromorphe Kontinua
KW - Kohäsive Grenzschichten
KW - Numerische Homogenisierung
KW - Generalisierte Plastizität
KW - Materielle Kräfte
KW - micromorphic continua
KW - cohesive interface
KW - computational homogenization
KW - generalized plasticity
KW - material forces
Y1 - 2008
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2007
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-22434
ER -