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Topology Optimization of Two Linear Elastic Bodies in Unilateral Contact
Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden.ORCID iD: 0000-0001-6821-5727
2010 (English)In: Proceedings of the 2nd International Conference on Engineering Optimization, 2010Conference paper, Published paper (Refereed)
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Text
Abstract [en]

The optimal solutions are most sensitive to the boundary conditions when performing topology optimization of components. In many applications the design domain of the components are subjected to unilateral contact conditions. In order to obtain relevant conceptual designs by topology optimization of such systems, the contact conditions should be included explicitly in the optimization. Recently, in a number of works by Strömberg and Klarbring, such a method has been developed for one elastic body unilateral constrained to rigid supports. Here, this approach is extended such that a system of two elastic bodies in unilateral contact is considered. For this systems the compliance is minimized by adopting the SIMP-model. A nested formulation of the problem is solved by SLP, where the sensitivities are obtained by solving an adjoint equation. In this latter equation, the Jacobian from the Newton method used to solve the state problem appears. The state problem is treated by an augmented Lagrangian formulation of the bodies in contact. Thus, the Jacobian is simply the gradient of the corresponding system of equations to this formulation. The method is implemented in the toolbox Topo4abq by using Matlab and Intel Fortran. The method is both efficient and robust. This is demonstrated by solving several 2D-problems. The results are also compared to the solutions obtained when the contact conditions are treated by joining the two bodies to one body. In a near future3D-problems will also be solved by using the presented approach.

Place, publisher, year, edition, pages
2010.
Keywords [en]
Topology optimization, SIMP, Contact, SLP
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48277OAI: oai:DiVA.org:oru-48277DiVA, id: diva2:904506
Conference
2nd International Conference on Engineering Optimization, Lisbon, Portugal, September 6-9, 2010
Available from: 2011-01-17 Created: 2016-02-15 Last updated: 2017-10-17Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
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  • en-US
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  • nn-NO
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Output format
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  • text
  • asciidoc
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