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Topology Optimization of Non-linear Elastic Structures by using SLP
Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden.ORCID iD: 0000-0001-6821-5727
2010 (English)In: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009: Volume 5: 35th Design Automation Conference, Parts A and B, ASME Press, 2010, 1261-1265 p.Conference paper, Published paper (Refereed)
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Text
Abstract [en]

In this paper a method for topology optimization of nonlinear elastic structures is suggested. The method is developed by starting from a total Lagrangian formulation of the system. The internal force is defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St. Venant law. The state of equilibrium is obtained by first deriving the consistency stiffness matrix and then using Newton's method to solve the non-linear equations. The design parametrization of the internal force is obtained by adopting the SIMP approach. The minimization of compliance for a limited value of volume is considered. The optimization problem is solved by SLP. This is done by using a nested approach where the equilibrium equation is linearized and the sensitivity of the cost Junction is calculated by the adjoint method. In order to avoid mesh-dependency the sensitivities are filtered by Sigmund'sfilter. The final LP-problem is solved by an interior point method that is available in Matlab. The implementation is done for a general design domain in 2D by using fully integrated isoparametric elements. The implementation seems to be very efficient and robust.

Place, publisher, year, edition, pages
ASME Press, 2010. 1261-1265 p.
National Category
Mechanical Engineering Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:oru:diva-48282DOI: 10.1115/DETC2009-86292ISI: 000290417800112Scopus ID: 2-s2.0-77953752243ISBN: 9780791849026 (print)OAI: oai:DiVA.org:oru-48282DiVA: diva2:904492
Conference
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, San Diego, USA, August 30-September 2, 2009
Available from: 2010-01-26 Created: 2016-02-15 Last updated: 2017-03-20Bibliographically approved

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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
More styles
Language
  • de-DE
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  • en-US
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  • nn-NO
  • nn-NB
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More languages
Output format
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