Large strain deformations of elastic shells. Constitutive modelling and finite element analysis
type: Item
instance of: scholarly article
title: Large strain deformations of elastic shells. Constitutive modelling and finite element analysis
zbMATH Open document ID: 0940.74033
DOI: 10.1016/S0045-7825(97)00306-X
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-07-24T00:00:00Z
review text: In this fundamental paper, the author develops a theory of shells with seven degrees of freedom, which takes into account large displacements and large strains, including thickness change, and which avoids the explicit use of the rotation tensor. He incorporates a three-dimensional constitutive nonlinear elastic material law, whose parameters are determined such that Treolar's experiments with rubber-like materials under considerable deformation can be completely described. This material law is based on the decomposition of strain energy into an isochoric and a volumetric part. The theory is tested numerically by means of the finite element method with four or nine nodes per element, respectively. Also, the behavior of enhanced strain elements is examined and qualified to be rather poor. Finally, some instructive examples are worked out numerically for very large deformations, which could probably be analysed as well by means of the much simpler membrane theory.
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1373252
zbMATH Keywords: theory of shells with seven degrees of freedom
zbMATH Keywords: large displacements
zbMATH Keywords: large strains
zbMATH Keywords: thickness change
zbMATH Keywords: three-dimensional constitutive nonlinear elastic material law
zbMATH Keywords: rubber-like materials
zbMATH Keywords: decomposition of strain energy
zbMATH Keywords: finite element method
author: Carlo Sansour
reviewed by: Hans Bufler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1373252