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

0368347 - MÚ 2012 RIV DE eng J - Journal Article
Hlaváček, Ivan - Lovíšek, J.
Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 91, č. 9 (2011), s. 711-723. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : functionally graded plate * optimal design
Subject RIV: BA - General Mathematics
Impact factor: 0.863, year: 2011
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201000119/abstract

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.
Permanent Link: http://hdl.handle.net/11104/0202718