Print Email Facebook Twitter A level-set based topology optimization using the element connectivity parameterization method Title A level-set based topology optimization using the element connectivity parameterization method Author Van Dijk, N.P. Yoon, G.H. Van Keulen, F. Langelaar, M. Faculty Mechanical, Maritime and Materials Engineering Department Precision and Microsystems Engineering Date 2010-02-27 Abstract 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 or 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 manner. The level-set method features shape optimization on a fixed mesh, leading to intrinsically black-andwhite 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 levelset function to volume-fraction design variables for every element of a finite element mesh. The resulting element density variables are then used to scale the Young’s modulus in each element using the Ersatz material approach. In this work we employ a modified material interpolation method, in which the element density variables, based on a per-element integration of a regularized Heaviside operator applied to the level-set function, are used as element connectivity design variables. The resulting crisp boundary topology optimization method exploits the advantages of ECP in the field of complex nonlinearities and eliminates the need for penalization by the implicit level-set description of the design. Subject topology optimizationlevel-set methodelement connectivity parameterization method (ECP)geometrical nonlinearities To reference this document use: http://resolver.tudelft.nl/uuid:999bb010-7876-4ea7-85f3-8bf75ab32071 DOI https://doi.org/10.1007/s00158-010-0485-y Publisher Springer ISSN 1615-1488 Source Structural and Multidisciplinary Optimization, 42 (2), 2010 Part of collection Institutional Repository Document type journal article Rights (c) 2010 Van Dijk, N.P.; Yoon, G.H.; Van Keulen, F.; Langelaar, M.; This article is published with open access at Springerlink.com Files PDF dijk.pdf 1.04 MB Close viewer /islandora/object/uuid:999bb010-7876-4ea7-85f3-8bf75ab32071/datastream/OBJ/view