Extension of the Touratier Kinematic Model to Large Strains, Displacements, and Rotations
Publication: Journal of Engineering Mechanics
Volume 136, Issue 10
Abstract
A concept for the modeling of a laminated and curvilinear shell that is deformed in a geometrically nonlinear elastic manner is reported in this technical note. The shell is assumed to be sufficiently thin and all the laminate materials sufficiently stiff to facilitate a degenerated approximation. The model equations are derived to be valid for problems involving large strains and rotations and to take into account transverse shear deformations. This is accomplished by combining an unrestricted displacement form of the strain tensor with the Touratier kinematic model and then expressing the resulting equations in terms absolute nodal coordinates instead of displacement vector components. It is anticipated that the theory documented here can be used to develop a specialized degenerate finite-element type.
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Acknowledgments
The financial support of the Engineering and Physical Sciences Research Council (Grant No. EPSRC-GBEP/C548582/1) is gratefully acknowledged.
References
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 10 • October 2010
Pages: 1289 - 1292
Copyright
© 2010 ASCE.
History
Received: Feb 11, 2009
Accepted: Mar 17, 2010
Published online: Mar 22, 2010
Published in print: Oct 2010
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