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Elasto-plastic Matrix Displacement Analysis of Three-dimensional Continua

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 , Institut für Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, Stuttgart
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Extract

The author presented in his recent main lecture to the Society, “The Computer Shapes the Theory”, a number of novel developments in the matrix displacement method. Since the publication of the lecture and discussion will inevitably be delayed and cannot but illustrate the application of the new ideas on a series of examples, he has been repeatedly urged to summarise some of the more important theoretical contributions in the form of Technical Notes. The first deals with the elasto-plastic analysis, in the presence of strain hardening, of arbitrary three-dimensional configurations. The reader is assumed to be familiar with the corresponding elastic analysis given in refs. 2 and 3, where the medium is represented by a suitable assembly of tetrahedra under constant stress and strain. The corresponding two-dimensional case is investigated on the basis of triangles. Arbitrary anisotropic behaviour and large displacements were also included in refs. 2 and 3.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 69 , Issue 657 , September 1965 , pp. 633 - 636
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.Matrix Analysis of Three-Dimensional Elastic Media; Small and Large Displacements, AIAA Journal Vol. 3, No. 1, pages 45–51, January 1965.Google Scholar
3.Argyris, J. H.Three-Dimensional Anisotropic and Inhomogeneous Elastic Media Matrix Analysis for Small and Large Displacements, Ingenieur Archiv, Vol. 34, No. 1, pages 33–55, 1965.Google Scholar
4.Hill, R.The Mathematical Theory of Plasticity, Oxford University Press, London, 1950.Google Scholar
5.Argyris, J. H.Energy Theorems and Structural Analysis, Butterworths, London, 1960.CrossRefGoogle Scholar