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01-04-2025

Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model

Author: Trung Hieu Giang

Published in: Journal of Engineering Mathematics | Issue 1/2025

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Abstract

The article delves into the existence and uniqueness of minimizers for a nonlinear Budiansky-Sanders shell model, building upon previous work by Destuynder. It extends the existing results to include a broader class of applied forces and general shell shapes, demonstrating the existence of at least one minimizer under these conditions. Furthermore, the uniqueness of the minimizer is established for small applied forces. The paper employs advanced mathematical techniques, including the Inverse Function Theorem and energy functional analysis, to prove these results, contributing significantly to the field of nonlinear shell theory.

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Metadata
Title
Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model
Author
Trung Hieu Giang
Publication date
01-04-2025
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2025
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-025-10434-x

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