Duality Applied to a Plate Model

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 13 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 343-362 from Springer

Abstract: Abstract Chapter 13 develops dual variational formulations for the two dimensional equations of the nonlinear elastic Kirchhoff-Love plate model. We obtain a convex dual variational formulation which allows non positive definite membrane forces. In the third section, similar to the triality criterion introduced in [36], we obtain sufficient conditions of optimality for the present case. Again the results are based on fundamental tools of Convex Analysis and the Legendre Transform, which can easily be analytically expressed for the model in question.

Keywords: Dual Application; Kirchhoff Love Plate Model; Dual Variational Formulation; Positive Definite; Duality Principle (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_13

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DOI: 10.1007/978-3-319-06074-3_13

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