Maximum principle in optimal design of plates with stratified thickness

0411318 - UTIA-B 20050047 RIV US eng J - Článek v odborném periodiku
Roubíček, Tomáš
Maximum principle in optimal design of plates with stratified thickness.
[Princip maxima v optimálním návrhu desek s laminátové uspořádanou tloušťkou.]
Applied Mathematics and Optimization. Roč. 51, č. 99 (2005), s. 183-200. ISSN 0095-4616. E-ISSN 1432-0606
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: linear plate equation * homogenization * optimal thickness design
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.630, rok: 2005

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.
Trvalý link: http://hdl.handle.net/11104/0131401