Treffer: Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems
Title:
Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems
Authors:
Source:
Zeitschrift für angewandte Mathematik und Mechanik. 91(9):711-723
Publisher Information:
Berlin: Wiley-VCH, 2011.
Publication Year:
2011
Physical Description:
print, 10 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Plans d'expériences et configurations, Designs and configurations, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Commande optimale, Optimal control, Control óptimo, Existence solution, Existence of solution, Existencia de solución, Fonction répartition, Distribution function, Función distribución, Inégalité variationnelle, Variational inequality, Desigualdad variacional, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Mécanique appliquée, Applied mechanics, Mecánica aplicada, Méthode optimisation, Optimization method, Método optimización, Plaque circulaire, Circular plate, Placa circular, Plaque mince, Thin plate, Placa delgada, Plaque élastique, Elastic plate, Placa elástica, 05Bxx, 28Bxx, 28Cxx, 49J40, 49XX, 58E35, 65K10, 65K15, 65Kxx, Inégalité opérateur, Operator inequality, Functionally graded plate, optimal design
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, Prague 11567, Czech Republic
Slovak University of Technology, Radlinskeho 11, 81368 Bratislava, Slovakia
Slovak University of Technology, Radlinskeho 11, 81368 Bratislava, Slovakia
ISSN:
0044-2267
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24483333
Database:
PASCAL Archive
Weitere Informationen
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.