caa a22 4500 46324396X CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-006-0091-1 doi (NATIONALLICENCE)springer-10.1007/s00158-006-0091-1 Stress concentration minimization of 2D filets using X-FEM and level set description [Elektronische Daten] [Laurent Van Miegroet, Pierre Duysinx] This paper presents and applies a novel shape optimization approach based on the level set description of the geometry and the extended finite element method (X-FEM). The method benefits from the fixed mesh work using X-FEM and from the curves smoothness of the level set description. Design variables are shape parameters of basic geometric features that are described with a level set representation. The number of design variables of this formulation remains small, whereas global (i.e. compliance) and local constraints (i.e. stresses) can be considered. To illustrate the capability of the method to handle stress constraints, numerical applications revisit the minimization of stress concentration in a 2D filet in tension, which has been previously studied in Pedersen (2003). Our results illustrate the great interest of using X-FEM and level set description together. A special attention is also paid to stress computation and accuracy with the X-FEM. Springer-Verlag Berlin Heidelberg, 2007 Shape optimization nationallicence Topology optimization nationallicence X-FEM nationallicence Level set nationallicence Van Miegroet Laurent Automotive Engineering Aerospace and Mechanics Department, University of Liège, Chemin des Chevreuils, 1, building B52, 4000, Liège, Belgium aut Duysinx Pierre Automotive Engineering Aerospace and Mechanics Department, University of Liège, Chemin des Chevreuils, 1, building B52, 4000, Liège, Belgium aut Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 425-438 1615-147X 33:4-5<425 2007 33 158 https://doi.org/10.1007/s00158-006-0091-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0091-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Van Miegroet Laurent Automotive Engineering Aerospace and Mechanics Department, University of Liège, Chemin des Chevreuils, 1, building B52, 4000, Liège, Belgium aut NATIONALLICENCE 700 1- Duysinx Pierre Automotive Engineering Aerospace and Mechanics Department, University of Liège, Chemin des Chevreuils, 1, building B52, 4000, Liège, Belgium aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 425-438 1615-147X 33:4-5<425 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer