Open Access

ARTICLE

Finite Rotations and large Strains in Finite Element Shell Analysis

by

1 Correspondence to: Ruhr-Universität Bochum, Lehrstuhl für Statik und Dynamik, Universit ätsstraße 150, 44780 Bochum, Germany

Computer Modeling in Engineering & Sciences 2003, 4(2), 217-230. https://doi.org/10.3970/cmes.2003.004.217

Abstract

The objective of this contribution is the development of a finite element model for finite rotation and large strain analysis of thin walled shells involving geometry intersections. The shell configuration is described by a linear polynomial in the thickness coordinate. The director of the shell is multiplicatively decomposed into a stretching parameter and an inextensible unit vector whose rotation is accomplished by an updated-rotation formulation. A rotation vector with three independent components is used throughout the shell which permits advantageously to consider smooth shells and compound shells by a unified procedure. This formulation is introduced into an isoparametric four-node element. The common locking phenomena are significantly reduced by an enhancement of the strain field and the assumed strain concept.

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