0421361 20240103203458.920131218235959.9 77956238522 000281108800029 10.1137/090774446 20 s. P cav_un_epca*02550700036-1399770 (2010)2709-2728SIAM Society for Industrial and Applied Mathematics structural optimization material optimization H-convergence semidefinite programming cav_un_auth*0211704 Haslinger J. CZ cav_un_auth*0101131 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Kočvara Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0249570 Leugering G. DE cav_un_auth*0021060 Stingl M. DE http://library.utia.cas.cz/separaty/2013/MTR/kocvara-0421361.pdf cav_un_auth*0241214 IAA100750802 GA AV ČR cav_un_auth*0301778 30717 EU FP6 XE CEZ:AV0Z10750506 We present a mathematical framework for so called multidisciplinary free material optimization (FMO) problems, a branch of structural optimization in which the full material tensor is considered as design variable. We extend the original problem statement dating back to the 1990s by a class of generic constraints depending either on the design or on the state variables. Examples are, for instance, local stress constraints or displacement constraints. We show existence of optimal solutions for this generalized FMO problem and discuss convergent approximation schemes based on the finite element method. BA 2014 4 http://hdl.handle.net/11104/0227926 cav_un_auth*0297782 University of Erlangen DE cav_un_auth*0296304 Matematicko-fyzikální fakulta KU MFF KU CZ cav_un_auth*0297783 University of Birmingham GB MATHEMATICSAPPLIED 1.824 0.185 >10.0 0.01044 1.062 4960 81 0.800 Q2 84.514 87.500 Q1 Q2 2010 77956238522 SCOPUS 000281108800029 WOS cav_un_epca*0255070 Siam Journal on Applied Mathematics 0036-1399 1095-712X Roč. 7 č. 70 2010 2709 2728 SIAM Society for Industrial and Applied Mathematics