Variational formulation in the geometrically nonlinear thin elastic shell theory
type: Item
instance of: scholarly article
title: Variational formulation in the geometrically nonlinear thin elastic shell theory
zbMATH Open document ID: 0603.73011
DOI: 10.1016/0020-7683(86)90073-9
published in: International Journal of Solids and Structures
publication date: 1986-01-01T00:00:00Z
review text: The variational formulation for thin elastic shells undergoing large deflections is discussed. No restrictions are imposed on the magnitude of the rotational part of the deformation gradient, yet it is assumed that the strains remain small everywhere in the shell. Ten functionals and associated variational principles are derived, including the Hu-Washizu, the Hellinger-Reissner, the generalized complementary energy and the stationary potential energy principles. The total Lagrangian description (TLD) is exclusively used.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 3974396
zbMATH Keywords: geometrically nonlinear first-approximation theory
zbMATH Keywords: Kirchhoff-type of stress measures
zbMATH Keywords: two-dimensional principle of virtual work
zbMATH Keywords: thin elastic shells
zbMATH Keywords: large deflections
zbMATH Keywords: strains remain small
zbMATH Keywords: Ten functionals
zbMATH Keywords: variational principles
zbMATH Keywords: Hu-Washizu
zbMATH Keywords: Hellinger-Reissner
zbMATH Keywords: generalized complementary energy
zbMATH Keywords: stationary potential energy principles
zbMATH Keywords: total Lagrangian description
author: Marek L. Szwabowicz
MaRDI profile type: Publication
full work available at URL: 0020-7683(86)90073-9
OpenAlex ID: W2053308015
description: scientific article; zbMATH DE number 3974396