caa a22 4500 463243978 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-006-0087-x doi (NATIONALLICENCE)springer-10.1007/s00158-006-0087-x Sigmund Ole Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Alle, B. 404, DK-2800, Lyngby, Denmark aut Morphology-based black and white filters for topology optimization [Elektronische Daten] [Ole Sigmund] To ensure manufacturability and mesh independence in density-based topology optimization schemes, it is imperative to use restriction methods. This paper introduces a new class of morphology-based restriction schemes that work as density filters; that is, the physical stiffness of an element is based on a function of the design variables of the neighboring elements. The new filters have the advantage that they eliminate grey scale transitions between solid and void regions. Using different test examples, it is shown that the schemes, in general, provide black and white designs with minimum length-scale constraints on either or both minimum hole sizes and minimum structural feature sizes. The new schemes are compared with methods and modified methods found in the literature. Springer-Verlag Berlin Heidelberg, 2007 Topology optimization nationallicence Regularization nationallicence Image processing nationallicence Morphology operators nationallicence Manufacturing constraints nationallicence Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 401-424 1615-147X 33:4-5<401 2007 33 158 https://doi.org/10.1007/s00158-006-0087-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0087-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sigmund Ole Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Nils Koppels Alle, B. 404, DK-2800, Lyngby, Denmark aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 401-424 1615-147X 33:4-5<401 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer