NDLI: Two-scale modelling of micromorphic continua : A numerical homogenization scheme

Content Provider	Springer Nature Link
Author	Jänicke, Ralf Diebels, Stefan Sehlhorst, Hans Georg Düster, Alexander
Copyright Year	2009
Abstract	According to their peculiar mechanical properties, the description of cellular materials is of high interest. Modelling aspects to be considered are, e.g. pronounced size depending boundary layer effects as well as a deformation-driven evolution of anisotropy or porosity. In the present contribution, we pay special attention to the description of size-dependent microtopological effects on the one hand. On the other hand, we focus on the relevance of extended continuum theories describing the local deformation state of microstructured materials. We, therefore, introduce a homogenization scheme for two-scale problems replacing a heterogeneous Cauchy continuum on the microscale by a homogeneous effective micromorphic continuum on the macroscale. The transitions between both scales are obtained by appropriate projection and homogenization rules which have to be derived, on the one hand, by kinematic assumptions, i.e. the minimization of the macroscopic displacement field, and, on the other hand, by energetic considerations, i.e. the evaluation of an extended Hill–Mandel condition.
Ending Page	315
Page Count	19
Starting Page	297
File Format	PDF
ISSN	09351175
e-ISSN	14320959
Journal	Continuum Mechanics and Thermodynamics
Issue Number	4
Volume Number	21
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-10-22
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Engineering Thermodynamics, Heat and Mass Transfer Size effects Homogenization Extended continua Two-scale FEM Structural Materials Theoretical and Applied Mechanics Multiscale materials Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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