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Damage Propagation in Composites – Multiscale Modeling and Optimization

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Multiscale Methods in Computational Mechanics

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 55))

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Abstract

The paper addresses general solution concepts for multiscale analyses and structural optimization of composite structures under damage evolution. Fiber Reinforced Composites, in particular Fiber Reinforced Concrete, are chosen as model material. First we describe undamaged and damaged material interfaces as well as matrix cracks utilizing the eXtended Finite Element Method (XFEM) and Level Set methods. The next part focuses on a solution strategy based on the Variational Multiscale Method (VMM) allowing to describe localized long range failure mechanisms for which standard homogenization is not applicable anymore. Either continuum damage or the discrete cohesive crack model applying XFEM is inserted into the VMM framework. Finally material optimization is performed to obtain an optimal fiber layout maximizing structural ductility.

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Authors and Affiliations

  1. Institute of Structural Mechanics, University of Stuttgart, 70550, Stuttgart, Germany

    Ekkehard Ramm, Ingrid Bruss, Frédéric Hilchenbach & Junji Kato

  2. DYNAmore GmbH, Industriestr. 2, 70565, Stuttgart, Germany

    Andrea Erhart

  3. Mahle GmbH, Pragstr. 26–46, 70376, Stuttgart, Germany

    Thomas Hettich

Authors
  1. Ekkehard Ramm
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  2. Andrea Erhart
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  3. Thomas Hettich
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  4. Ingrid Bruss
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  5. Frédéric Hilchenbach
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  6. Junji Kato
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Corresponding author

Correspondence to Ekkehard Ramm .

Editor information

Editors and Affiliations

  1. Dept. Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands

    René de Borst

  2. Inst. Mechanik, Lehrstuhl II, Univ. Stuttgart, Pfaffenwaldring 7, Stuttgart, 70569, Germany

    Ekkehard Ramm

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Ramm, E., Erhart, A., Hettich, T., Bruss, I., Hilchenbach, F., Kato, J. (2011). Damage Propagation in Composites – Multiscale Modeling and Optimization. In: de Borst, R., Ramm, E. (eds) Multiscale Methods in Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9809-2_15

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  • DOI: https://doi.org/10.1007/978-90-481-9809-2_15

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  • Print ISBN: 978-90-481-9808-5

  • Online ISBN: 978-90-481-9809-2

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