Global existence results and duality for non-linear models of plates and shells

Fabio Botelho

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arXiv · 1712.01595

Global existence results and duality for non-linear models of plates and shells

Fabio Botelho

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Abstract

In this article firstly we develop a new proof for global existence of minimizers for the Kirchhoff-Love plate model. We also present a duality principle and relating sufficient optimality conditions for such a variational plate model. In a second step, we present a global existence result for a non-linear model of shells. For this model, we also develop a duality principle and concerning sufficient conditions of optimality.

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Fabio Botelho. 2018-11-24. Global existence results and duality for non-linear models of plates and shells. https://arxiv.org/abs/1712.01595

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