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@PHDTHESIS{Simon:755388,
author = {Simon, Jaan-Willem},
othercontributors = {Reese, Stefanie and Wagner, Werner and Fish, Jacob},
title = {{N}onlinear {M}odeling of {C}arbon {F}iber {R}einforced
{C}omposites at {M}ultiple {S}cales},
school = {RWTH Aachen University},
type = {Habilitationsschrift},
reportid = {RWTH-2019-01814},
year = {2018},
note = {Habilitationsschrift, RWTH Aachen University, 2018},
abstract = {Composite materials are generally formed by combinations of
two or more components to achieve properties that are
superior to those of the single constituents. Their use has
become very popular in numerous engineering applications in
aerospace, automotive, construction, and maritime industry.
Hence, the evaluation of the effective mechanics properties
of these materials is of increasing industrial and
scientific interest.Modeling the mechanical behavior of
composite materials can be challenging due to the
complexities introduced by their microstructure. In order to
set up models which can be applied on the structural level
(macro-scale) with an acceptable computational effort and
still account for effects resulting from the underlying
microstructure (micro-scale), computational multi-scale
methods are needed. Such methods range from hierarchical to
synergistic and concurrent approaches. While there is no
scale separation in (fully) concurrent methods, synergistic
ones separate either the length scale — i.e. the volume of
the simulated microstructure is smaller than the volume that
it represents on the macro level — or the time scale. By
contrast, in hierarchical methods both the time and length
scales are separated. Here, the entire composite is
considered as only one effective material with homogenized
properties on the structural level, which results in a
significant increase in computational efficiency while
sufficient fidelityfor many applications is
maintained.Applying multi-scale strategies requires the
development of appropriate material models on the different
scales. Moreover, these models usually include several
material parameters which have to be determined either by
real or virtual experiments. In the current work, virtual
experiments are performed on representative volume elements
(RVEs) in order to numerically obtain the response of the
considered microstructure. To this end, the geom-etry of the
constituents and their distributions need to be reflected
sufficiently accurate, such that the RVE can be considered
representative in a statistical sense. In order to
illustrate the strategy, several different examples will be
shown in the following. All presented results have been
obtained by the author and co-workers from his group
”Composite Materials and Structures” at the Institute of
Applied Mechanics — headed by Prof. Stefanie Reese — at
RWTH Aachen University.},
cin = {311510},
cid = {$I:(DE-82)311510_20140620$},
typ = {PUB:(DE-HGF)13},
url = {https://publications.rwth-aachen.de/record/755388},
}