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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},
}