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Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems
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SYSNO ASEP 0368347 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems Author(s) Hlaváček, Ivan (MU-W) RID, SAI
Lovíšek, J. (SK)Source Title ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. - : Wiley - ISSN 0044-2267
Roč. 91, č. 9 (2011), s. 711-723Number of pages 13 s. Language eng - English Country DE - Germany Keywords functionally graded plate ; optimal design Subject RIV BA - General Mathematics R&D Projects IAA100190803 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000295068600003 EID SCOPUS 80051720070 DOI 10.1002/zamm.201000119 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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