caa a22 4500 463244060 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-007-0095-5 doi (NATIONALLICENCE)springer-10.1007/s00158-007-0095-5 Free material optimization for stress constraints [Elektronische Daten] [Michal Kočvara, Michael Stingl] Free material design deals with the question of finding the lightest structure subject to one or more given loads when both the distribution of material and the material itself can be freely varied. We additionally consider constraints on local stresses in the optimal structure. We discuss the choice of formulation of the problem and the stress constraints. The chosen formulation leads to a mathematical program with matrix inequality constraints, so-called nonlinear semidefinite program. We present an algorithm that can solve these problems. The algorithm is based on a generalized augmented Lagrangian method. A number of numerical examples demonstrate the effect of stress constraints in free material optimization. Springer-Verlag Berlin Heidelberg, 2007 Topology optimization nationallicence Material optimization nationallicence Stress based design nationallicence Nonlinear semidefinite programming nationallicence Kočvara Michal Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží4, 18208, Praha 8, Czech Republic aut Stingl Michael Institute of Applied Mathematics, University of Erlangen-Nuremberg, Martensstrasse 3, 91058, Erlangen, Germany aut Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 323-335 1615-147X 33:4-5<323 2007 33 158 https://doi.org/10.1007/s00158-007-0095-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-007-0095-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kočvara Michal Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží4, 18208, Praha 8, Czech Republic aut NATIONALLICENCE 700 1- Stingl Michael Institute of Applied Mathematics, University of Erlangen-Nuremberg, Martensstrasse 3, 91058, Erlangen, Germany aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 323-335 1615-147X 33:4-5<323 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer