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Tetrahedron Elements with Linearly Varying Strain for the Matrix Displacement Method

Published online by Cambridge University Press:  04 July 2016

J. H. Arcyris,
J. H. Arcyris, *
Affiliation:
Imperial College of Science and Technology, University of London Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Stuttgart
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Extract

The author mentioned in his Main Lecture(1) the success achieved in the analysis of three-dimensional media, for small and large displacements, as well as anisotropic and non-elastic behaviour, by the introduction of tetrahedron elements of constant strain and stress(2), see also technical note 1 of this series(3). A cardinal point of the theory is the specification of natural strains, stresses and stiffness. At the same time attention was drawn to certain difficulties arising in the interpretation of the stresses at the nodal or other points, which are more severe than for constant strain triangles, the corresponding elements in the two-dimensional case. It was suggested in the lecture that a considerable improvement might be achieved by the specification of a linearly varying strain or stress state within the tetrahedron. The solution of this problem, limited to small displacements, is summarised in this fifth technical note and its application is to be demonstrated on an example in the printed lecture.

Type
Research Article
Information
The Aeronautical Journal , Volume 69 , Issue 660 , December 1965 , pp. 877 - 880
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Argyris, J. H. The Computer Shapes the Theory. Lecture to the Royal Aeronautical Society, 18th May 1965. To be published in the Journal of the Royal Aeronautical Society.Google Scholar
2.Argyris, J. H.Three-Dimensional Anisotropic and Inhomo- geneous Elastic Media; Matrix Analysis for Small and Large Displacements, lngenieur Archiv., Vol. 34, No. 1, pp 33–55, 1965.CrossRefGoogle Scholar
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