Version 1
: Received: 5 September 2024 / Approved: 5 September 2024 / Online: 5 September 2024 (12:43:44 CEST)
How to cite:
Botelho, F. A Duality Principle and Related Convex Dual Approximate Formulation Applied to a Non-Linear Plate Model. Preprints2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v1
Botelho, F. A Duality Principle and Related Convex Dual Approximate Formulation Applied to a Non-Linear Plate Model. Preprints 2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v1
Botelho, F. A Duality Principle and Related Convex Dual Approximate Formulation Applied to a Non-Linear Plate Model. Preprints2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v1
APA Style
Botelho, F. (2024). A Duality Principle and Related Convex Dual Approximate Formulation Applied to a Non-Linear Plate Model. Preprints. https://doi.org/10.20944/preprints202409.0460.v1
Chicago/Turabian Style
Botelho, F. 2024 "A Duality Principle and Related Convex Dual Approximate Formulation Applied to a Non-Linear Plate Model" Preprints. https://doi.org/10.20944/preprints202409.0460.v1
Abstract
This article develops a duality principle applicable to originally non-convex primal variational formulations. More specifically, as a first application, we establish a convex dual approximate variational formulation for a non-linear Kirchhoff-Love plate model. The results are obtained through basic tools of functional analysis, calculus of variations, duality and optimization theory in infinite dimensional spaces. We emphasize such a final convex dual approximate formulation obtained may be applied to a large class of similar models in the calculus of variations.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.