Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
type: Item
instance of: scholarly article
title: Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
zbMATH Open document ID: 0849.73037
DOI: 10.1016/0045-7825(94)90004-3
author: F. Frey
author: Adnan Ibrahimbegović
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-07-11T00:00:00Z
review text: We discuss some details of the numerical implementation of the geometrically nonlinear shell theory presented in part I [see the foregoing entry]. Two possibilities to represent finite rotations, with an orthogonal matrix and with a rotation vector, are examined, along with their mutual relationship in both spatial and material description. The issues pertinent to the consistent linearization procedure corresponding to these rotation parameterizations are also carefully considered. The geometrically nonlinear method of incompatible modes is extended to the nonlinear shell theory under consideration, and used to provide a 4-node shell element with enhanced performance. A rather extensive set of numerical examples in nonlinear elastostatics is solved in order to corroborate the non-locking performance of the incompatible-mode-based shell elements.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 881015
zbMATH Keywords: non-smooth shell structures
zbMATH Keywords: shell structures with stiffeners
zbMATH Keywords: orthogonal matrix
zbMATH Keywords: rotation vector
zbMATH Keywords: linearization procedure
zbMATH Keywords: rotation parameterizations
zbMATH Keywords: geometrically nonlinear method of incompatible modes
zbMATH Keywords: 4-node shell element
MaRDI profile type: Publication
full work available at URL: 0045-7825(94)90004-3
OpenAlex ID: W1990580398
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description: scientific article; zbMATH DE number 881015