A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
type: Item
instance of: scholarly article
title: A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
zbMATH Open document ID: 0827.73044
published in: Archive of Applied Mechanics
publication date: 1995-05-14T00:00:00Z
review text: A nonlinear shell theory, including transverse strains perpendicular to the midsurface and transverse shear strains, is developed. A quadratic displacement field over the shell thickness with seven degrees of freedom is considered; however, the use of a rotation tensor is avoided. In the case of linear constitutive equations, a possible reduction to six degrees of freedom is discussed and a finite element formulation, based on a hybrid variational principle, is presented. The accuracy of the theory and its wide range of applicability are demonstrated by several examples.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 755148
zbMATH Keywords: nonlinear shell theory
zbMATH Keywords: transverse shear strains
zbMATH Keywords: quadratic displacement field
zbMATH Keywords: linear constitutive equations
zbMATH Keywords: hybrid variational principle
author: Carlo Sansour
reviewed by: Andreas Pomp
MaRDI profile type: Publication
full work available at URL: s004190050012
OpenAlex ID: W2974496530
DOI: 10.1007/S004190050012
description: scientific article; zbMATH DE number 755148