A Level-set-based Topology Optimization using the Element-connectivity-parameterization Method

NP van Dijk, GH Yoon, F van Keulen, M Langelaar

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientific


This contribution presents a novel and versatile approach to geometrically nonlinear topology optimization by combining the level-set method with the element-connectivity-parameterization method (ECP). The combined advantages of both methods open up the possibility to treat a wide range of optimization problems involving complex physical and/or geometrical nonlinearities in a general and elegant way. The level-set method features shape optimization on a fixed mesh, leading to intrinsically black-and-white designs. This approach allows a clear description of location and orientation of the interface, whereas topological changes can still be handled easily. A popular concept used in conventional level-set methods is to map the level-set function to volume-fraction design variables for every element of a finite element mesh using the Ersatz-material approach. In this work we employ a modified Ersatz-material formulation, in which the element-connectivity design variables are based on a per-element integration of a regularized Heaviside operator applied to the level-set function. The resulting crisp-boundary topology optimization method exploits the abilities of ECP in the field of complex nonlinearities and eliminates the need for penalization by the implicit level-set description of the design. Keywords: Topology optimization, level-set method, element-connectivity-parameterization method (ECP), geometrical nonlinearities.
Original languageUndefined/Unknown
Title of host publicationProceedings of EngOpt2008, International Conference on Engineering Optimization, Rio de Janeiro, Brazil, June 1-5, 2008
Editors Herskovits, J., Canelas, A., Cortes, H., Aroztegui, M.
Place of PublicationRio de Janeiro, Brazil
Number of pages10
ISBN (Print)978857650156-5
Publication statusPublished - 2008
EventEngOpt 2008, International Conference on Engineering Optimization - Rio de Janeiro, Brazil
Duration: 1 Jun 20085 Jun 2008

Publication series



ConferenceEngOpt 2008, International Conference on Engineering Optimization


  • conference contrib. refereed
  • Conf.proc. > 3 pag

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