A consistent theory of geometrically nonlinear shells with an independent rotation vector
type: Item
instance of: scholarly article
title: A consistent theory of geometrically nonlinear shells with an independent rotation vector
zbMATH Open document ID: 0619.73032
DOI: 10.1016/0020-7683(87)90005-9
author: Yavuz Başar
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: For shells undergoing finite rotations, a general theory is formulated in terms of consistent displacement and force variables. An independent rotation vector is used for the description of the deformation state. The strain-displacement equations are obtained considering shear deformations. These relations are then transformed by a variational procedure into consistent equilibrium equations and boundary conditions, the validity of which is also confirmed by an independent two-dimensional derivation. The paper closes with the physical interpretation of the force variables and the formulation of the constitutive equations.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 4005710
zbMATH Keywords: principle of virtual work
zbMATH Keywords: finite rotations
zbMATH Keywords: general theory
zbMATH Keywords: consistent displacement
zbMATH Keywords: force variables
zbMATH Keywords: independent rotation vector
zbMATH Keywords: strain- displacement equations
zbMATH Keywords: deformations
zbMATH Keywords: consistent equilibrium equations
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90005-9
OpenAlex ID: W1985993407
description: scientific article; zbMATH DE number 4005710