Global existence results and duality for non-linear models of plates and shells
Analysis of PDEs
2018-11-27 v2 Optimization and Control
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.
Keywords
Cite
@article{arxiv.1712.01595,
title = {Global existence results and duality for non-linear models of plates and shells},
author = {Fabio Botelho},
journal= {arXiv preprint arXiv:1712.01595},
year = {2018}
}
Comments
28 pages, some parts of the text have been re-written, variational nature of the dual formulations retaken