0421362 20240103203459.020131218235959.9 000305134600001 84856577766 10.1007/s00158-012-0762-z 16 s. P cav_un_epca*02557351615-147X461 (2012)1-15 Topology optimization Material Optimization Stress based design Nonlinear semidefinite programming cav_un_auth*0101131 Kočvara Michal Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0021060 Stingl M. DE http://library.utia.cas.cz/separaty/2013/MTR/kocvara-0421362.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 30717 EU FP6 XE cav_un_auth*0301778 CEZ:AV0Z10750506 This article is a continuation of the paper /citet{kocvara-stingl-stress}. The aim is to describe numerical techniques for the solution of topology and material optimization problems with local stress constraints. In particular, we consider the topology optimization (variable thickness sheet or ``free sizing'') and the free material optimization problems. We will present an efficient algorithm for solving large scale instances of these problems. Examples will demonstrate the efficiency of the algorithm and the importance of the local stress constraints. In particular, we will argue that in certain topology optimization problems, the addition of stress constraints must necessarily lead not only to the change of optimal topology but also optimal geometry. Contrary to that, in material optimization problems the stress singularity is treated by the change in the optimal material properties. 2014 BA 2 4 A 4a 20231122135956.4 RVO:67985556 http://hdl.handle.net/11104/0227925 cav_un_auth*0297782 University of Erlangen DE COMPUTERSCIENCEINTERDISCIPLINARYAPPLICATIONS|ENGINEERINGMULTIDISCIPLINARY|MECHANICS 1.765 0.137 6 0.00727 0.681 2186 131 1.389 Q1 60.427 78.364 Q2 Q1 2012 Soubory v repozitáři: kocvara-0421362.pdf 84856577766 SCOPUS 000305134600001 WOS cav_un_epca*0255735 Structural and Multidisciplinary Optimization 1615-147X 1615-1488 Roč. 46 č. 1 2012 1 15