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Simultaneous Topology Optimization of Material Density and Anisotropy

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Advances in Structural and Multidisciplinary Optimization (WCSMO 2017)

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Abstract

This paper presents an optimization methodology in order to find simultaneously optimal density and anisotropy. The objective is to maximize the structure global stiffness measured by the compliance. The density and the elasticity tensor are defined as design variables. The numerical procedure is composed of finite element stress calculations and local minimization problems. Thanks to the polar method, these local minimization problems are solved analytically. The method proposed turns out to be straightforward. Two numerical results are illustrated in the 2D-case: optimal designs depending on anisotropy, and optimal design and anisotropy.

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Acknowledgements

This research project is funded by STELIA Aerospace.

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Authors and Affiliations

  1. Onera Chatillon, Châtillon, France

    Narindra Ranaivomiarana, François-Xavier Irisarri & Dimitri Bettebghor

  2. Sorbonnes Universités, UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, 75005, Paris, France

    Boris Desmorat

Authors
  1. Narindra Ranaivomiarana
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  2. François-Xavier Irisarri
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  3. Dimitri Bettebghor
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  4. Boris Desmorat
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Corresponding author

Correspondence to Narindra Ranaivomiarana .

Editor information

Editors and Affiliations

  1. Chair for Optimization of Mechanical Stuctures, Faculty for Mechanical Engineering and Safety Engineering, University of Wuppertal, Wuppertal, Germany

    Axel Schumacher

  2. Institute for Construction Enginnering, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Vietor

  3. Braunschweig, Germany

    Sierk Fiebig

  4. Chair of Structural Analysis, Technische University of Munich, Munich, Germany

    Kai-Uwe Bletzinger

  5. Engineering Center, ECAE 197, University of Colorado Boulder, Boulder, Colorado, USA

    Kurt Maute

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Ranaivomiarana, N., Irisarri, FX., Bettebghor, D., Desmorat, B. (2018). Simultaneous Topology Optimization of Material Density and Anisotropy. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_76

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  • DOI: https://doi.org/10.1007/978-3-319-67988-4_76

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67987-7

  • Online ISBN: 978-3-319-67988-4

  • eBook Packages: EngineeringEngineering (R0)

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