0411318 20240103182318.120060210235959.9 18 s. cav_un_epca*02561610095-46165199 (2005)183-200Springer linear plate equation homogenization optimal thickness design cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A CEZ:AV0Z10750506 An optimal design problem for a plate governed by a linear, elliptic equation with bounded thickness varying only in a single prescribed direction and with unilateral isoperimetrical-type constraints is considered. Using Murat-Tartar's homogenization theory for stratified plates and Young-measure relaxation theory, smoothness of the extended cost and constraint functionals is proved, and then the maximum principle necessary for an optimal relaxed design is derived. V práci se odvozuje princip maxima v optimálním návrhu desek s laminátově uspořádanou tloušťkou. BA 2006 MTR http://hdl.handle.net/11104/0131401 UTIA-B 20050047 2005 cav_un_epca*0256161 Applied Mathematics and Optimization 0095-4616 1432-0606 Roč. 51 č. 99 2005 183 200 Springer