We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Asymptotic Justification of Equations for von Kármán Membrane Shells.
- Authors
Legougui, M.; Ghezal, A.
- Abstract
The objective of this work is to study the asymptotic justification of the two- dimensional equations for membrane shells with boundary conditions of von Kármán's type. More precisely, we consider a three-dimensional model for a nonlinearly elastic membrane shell of Saint Venant–Kirchhoff material, where only a portion of the lateral face is subjected to boundary conditions of von Kármán's type. Using technics from formal asymptotic analysis with the thickness of the shell as a small parameter, we show that the scaled three-dimensional solution still leads to the so-called two-dimensional equations of von Kármán membrane shell.
- Subjects
VON Karman equations; ELASTIC plates &; shells; THREE-dimensional modeling
- Publication
Mathematical Notes, 2023, Vol 114, Issue 3/4, p536
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434623090237