CHARACTERIZATION OF THE MEMBRANE THEORY OF A CLAMPED SHELL

Autor:	Jyrki Piila
Rok vydání:	1994
Předmět:	Surface (mathematics) Curvilinear coordinates Asymptotic analysis Deformation (mechanics) Applied Mathematics Modeling and Simulation Traction (engineering) Mathematical analysis Shell (structure) Geometry Surface of revolution Curvature Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. :147-177
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202594000108
Popis:	We study the membrane-dominated deformation state of a thin shell, the mid-surface of which is located on a surface of revolution with positive principal radii of curvature. The lateral shape of the shell is assumed to be that of a curvilinear polygon. The shell is loaded by a smooth surface traction acting on its outer surface and rigidly supported throughout its edge. Proceeding from the 3D elastic model, an asymptotic model is constructed to describe the limit behavior of the shell as the thickness tends to zero. The limit model is referred to as membrane theory. A convergence result relating the 3D model and the asymptotic model is proved and the mathematical characteristics of the asymptotic theory are analyzed. Energy methods are used throughout the work.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1b220b5e4240168821dd4b748af3be3a https://doi.org/10.1142/s0218202594000108 Zobrazit plný text záznamu