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Optimization of a functionally graded circular plate with inner rigid thin obstacles. I. Continuous problems by I. Hlaváček; J. Lovíšek is a Engineering article available to read on EtoBox.

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## 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.

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

Author

I. Hlaváček; J. Lovíšek

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Ltd.; Wiley (ISSN 0044-2267)

Published

2011

Language

EN

Field

Engineering (Physical Sciences)