About: Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Optimal control problems are considered for a functionally graded circular plate with inner rigid obstacles. Axisymmetric bending and stretching of the plate is studied using the classical Kirchhoff theory. The plate material is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. Four optimal design problems are considered for the elastic circular plate. The state problem is represented by a variational inequality with a monotone operator and the design variables (i.e., the thickness and the exponent of the power-law) influence both the coefficients and the set of admissible state functions. We prove the existence of a solution to the above-mentioned optimal design problems. Optimal control problems are considered for a functionally graded circular plate with inner rigid obstacles. Axisymmetric bending and stretching of the plate is studied using the classical Kirchhoff theory. The plate material is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. Four optimal design problems are considered for the elastic circular plate. The state problem is represented by a variational inequality with a monotone operator and the design variables (i.e., the thickness and the exponent of the power-law) influence both the coefficients and the set of admissible state functions. We prove the existence of a solution to the above-mentioned optimal design problems. (en)
Title	Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems (en)
skos:prefLabel	Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems (en)
skos:notation	RIV/67985840:_____/11:00368347!RIV12-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190803), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Hlaváček, Ivan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	218727
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00368347
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	functionally graded plate; optimal design (en)
http://linked.open.../riv/klicoveSlovo	functionally graded plate optimal design
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[0BB4DF6527B2]
http://linked.open...i/riv/nazevZdroje	ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	The finite element method for higher dimensional problems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	91
http://linked.open...iv/tvurceVysledku	Hlaváček, Ivan Lovíšek, J.
http://linked.open...ain/vavai/riv/wos	000295068600003
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0044-2267
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/zamm.201000119

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