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The LUMINA Element for the Matrix Displacement Method

Published online by Cambridge University Press:  04 July 2016

J. H. Argyris
J. H. Argyris*
Affiliation:
Imperial College of Science and Technology, University of London, and University of Stuttgart
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Extract

It was pointed out in ref. 1 that various interpolation techniques could be used to develop elements (for the matrix displacement method) of increasingly more complex characteristics both as far as geometry and specification of strain are concerned. A number of authors have examined this problem in detail and attention is drawn to the excellent work of Bogner, Fox and Schmit on plate elements, and to the elegant paper by Pestel. Over a number of years the ISD at the University of Stuttgart has investigated the application of interpolation functions and has developed within the ASKA language a number of corresponding elements.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 72 , Issue 690 , June 1968 , pp. 514 - 517
Copyright
Copyright © Royal Aeronautical Society 1968 

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References

1. Argyris, J. H. The Computer Shapes the Theory. Lecture to the Royal Aeronautical Society, 18th May 1965.Google Scholar
2. Bogner, F. K., Fox, R. L. and Schmit, L. A. Jr. The Generation of Interelement, Compatible Stiffness and Mass Matrices by the Use of Interpolation Formulas. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Air Force Base, Dayton, Ohio, October 1965.Google Scholar
3. Pestel, E. Dynamic Stiffness Matrix Formulation by Means of Hermitian Polynomials. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Air Force Base, Dayton, Ohio, October 1965.Google Scholar
4. Dunne, P. C. Complete Polynomial Displacement Fields for Finite Element Methods. The Aeronautical Journal of the Royal Aeronautical Society, Vol 72, No 687, pp 245–246, March 1968.Google Scholar
5. Argyris, J. H. Continua and Discontinua. Proceedings of the First Conference on Matrix Methods in Structural Mechanics, Air Force Base, Dayton, Ohio, October 1965.Google Scholar
6. Ergatoudis, I., Irons, B. M. and Zienkiewicz, O. C. Curved Isoparametric Quadrilateral Elements for Finite Element Analysis. International Journal of Solids and Structures, Vol 4, No 1, pp 31–42, January 1968.Google Scholar
7. Argyris, J. H. and Redshaw, S. C. Three-Dimensional Analysis of Two Arch Dams by a Finite Element Method, Part II. Paper presented at the Symposium on Arch Dams, Institution of Civil Engineers, 20-21 st March 1968.Google Scholar
8. Ergatoudis, I., Irons, B. M. and Zienkiewicz, O. C. Three-Dimensional Analysis of Arch Dams and their Foundations. Symposium on Arch Dams, Institution of Civil Engineers, 20-21 March 1968.Google Scholar