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A Topology Optimization Scheme for Crash Loaded Structures Using Topological Derivatives

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Advances in Structural and Multidisciplinary Optimization (WCSMO 2017)

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Abstract

This paper deals with a topology optimization scheme for crash loaded structures. The presented approach combines the numerical calculation of Topological Derivatives with a level-set method. In a microscale investigation on a planar shell with a hole under perpendicular stresses a meta-model for the Topological Derivatives is derived. This meta-model provides the sensitivities for the optimization of the macroscale mechanical problem. The iterative volume reduction with a level-set method, a linear mapping scheme and filtering allows the crash simulation with smooth boundaries. An academic example illustrates the applicability of the optimization scheme.

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Authors and Affiliations

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

    Katrin Weider & Axel Schumacher

Authors
  1. Katrin Weider
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  2. Axel Schumacher
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Corresponding author

Correspondence to Katrin Weider .

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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Weider, K., Schumacher, A. (2018). A Topology Optimization Scheme for Crash Loaded Structures Using Topological Derivatives. 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_120

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  • DOI: https://doi.org/10.1007/978-3-319-67988-4_120

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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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