caa a22 4500 463244001 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-007-0094-6 doi (NATIONALLICENCE)springer-10.1007/s00158-007-0094-6 A topological derivative method for topology optimization [Elektronische Daten] [Julian Norato, Martin Bendsøe, Robert Haber, Daniel Tortorelli] We propose a fictitious domain method for topology optimization in which a level set of the topological derivative field for the cost function identifies the boundary of the optimal design. We describe a fixed-point iteration scheme that implements this optimality criterion subject to a volumetric resource constraint. A smooth and consistent projection of the region bounded by the level set onto the fictitious analysis domain simplifies the response analysis and enhances the convergence of the optimization algorithm. Moreover, the projection supports the reintroduction of solid material in void regions, a critical requirement for robust topology optimization. We present several numerical examples that demonstrate compliance minimization of fixed-volume, linearly elastic structures. Springer-Verlag Berlin Heidelberg, 2007 Topology optimization nationallicence Fictitious domain nationallicence Geometry projection nationallicence Topological derivative nationallicence Norato Julian Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut Bendsøe Martin Department of Mathematics, Technical University of Denmark, Matematiktorvet, B. 303, 2800, Lyngby, Denmark aut Haber Robert Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut Tortorelli Daniel Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 375-386 1615-147X 33:4-5<375 2007 33 158 https://doi.org/10.1007/s00158-007-0094-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-007-0094-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Norato Julian Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut NATIONALLICENCE 700 1- Bendsøe Martin Department of Mathematics, Technical University of Denmark, Matematiktorvet, B. 303, 2800, Lyngby, Denmark aut NATIONALLICENCE 700 1- Haber Robert Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut NATIONALLICENCE 700 1- Tortorelli Daniel Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 375-386 1615-147X 33:4-5<375 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer