On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation

Prikazchikova, Ludmila; Nolde, Evgeniya; Miszuris, Wiktoria; Kaplunov, Julius

Abstract

The derivation of the boundary conditions is the most challenging part of the asymptotic techniques underlying low-dimensional models for thin elastic structures. At the moment, these techniques do not take into consideration the effect of the environment, e.g., a Winkler foundation, when tackling boundary conditions, and have to be amended. In this paper as an example we consider an antiplane problem for a thin elastic strip contacting with a relatively compliant Winkler foundation. Refined boundary conditions at an edge loaded by prescribed stresses are established using a properly adjusted Saint-Venant’s principle. They appear to be useful for advanced structure modelling including analysis of the static equilibrium under self-equilibrated loading.

Citation

Prikazchikova, L., Nolde, E., Miszuris, W., & Kaplunov, J. (2024). On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation. International Journal of Engineering Science, 205, Article 104152. https://doi.org/10.1016/j.ijengsci.2024.104152

• Journal Article Type: Article
• Acceptance Date: Sep 18, 2024
• Publication Date: 2024-12
• Deposit Date: Oct 25, 2024
• Journal: International Journal of Engineering Science
• Print ISSN: 0020-7225
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 205
• Article Number: 104152
• DOI: https://doi.org/10.1016/j.ijengsci.2024.104152
• Public URL: https://keele-repository.worktribe.com/output/955289
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0020722524001368?via%3Dihub
• Additional Information: This article is maintained by: Elsevier; Article Title: On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation; Journal Title: International Journal of Engineering Science; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.ijengsci.2024.104152; Content Type: article; Copyright: © 2024 The Authors. Published by Elsevier Ltd.