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An assessment of assumed strain methods in finite rotation shell analysis

An assessment of assumed strain methods in finite rotation shell analysis A critical assessment of the 4node assumed strain element as proposed by Dvorkin and Bathe is made. The element performed excellently in all investigated shell problems which sometimes caused difficulties for other assumed strain techniques. For efficient computation in the nonlinear range, linearization of the virtual work equation is done to yield the consistent tangent stiffness. The shell formulation is done for stress and strain tensors based on local element coordinates. To demonstrate the effectiveness and rapid convergence of the nonlinear formulation, three examples are tested for large displacements. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

An assessment of assumed strain methods in finite rotation shell analysis

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023760
Publisher site
See Article on Publisher Site

Abstract

A critical assessment of the 4node assumed strain element as proposed by Dvorkin and Bathe is made. The element performed excellently in all investigated shell problems which sometimes caused difficulties for other assumed strain techniques. For efficient computation in the nonlinear range, linearization of the virtual work equation is done to yield the consistent tangent stiffness. The shell formulation is done for stress and strain tensors based on local element coordinates. To demonstrate the effectiveness and rapid convergence of the nonlinear formulation, three examples are tested for large displacements.

Journal

Engineering ComputationsEmerald Publishing

Published: Jan 1, 1989

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