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A Discrete Element Method for the Analysis of Plane Elasto-Plastic Stress Problems

  • G. G. Pope (a1)
Summary

A procedure is developed for the analysis of plane stress problems when yielding occurs locally. The region is divided into triangular elements and the deformation is analysed on a step-by-step basis, using the matrix notation developed by Argyris. The simple expressions which are derived for the element properties are applicable with any stress-strain relations which are stable and time-independent. Simple numerical examples are given.

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1. Argyris, J. H. Energy theorems and structural analysis. Part 1: General theory. Butterworth, London, 1960. (Reprinted from Aircraft Engineering, Vol. 26, 1954 and Vol. 27, 1955.)
2. Turner, M. J., Clough, R. J., Martin, H. C. and Topp, L. J. Stiffness and deflexion analysis of complex structures. Journal of the Aeronautical Sciences, Vol. 23, p. 805, September 1956.
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4. Argyris, J. H., Kelsey, S. and Kamel, H. Matrix methods of structural analysis–a précis of recent developments. Matrix methods of structural analysis (edited by Veubeke, B. Fraeijs de). Pergamon Press, 1964.
5. Turner, M. J., Martin, H. C. and Weikel, R. C. Further development and applications of the stiffness method. Matrix methods of structural analysis (edited by Veubeke, B. Fraeijs de). Pergamon Press, 1964.
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10. Hill, R. Plasticity. Oxford University Press, 1950.
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14. Argyris, J. H. The matrix analysis of structures with cut-outs and modifications. Proceedings of the Ninth International Congress of Applied Mechanics (Brussels), Vol. 6, p. 131, 1957.
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The Aeronautical Journal
  • ISSN: 0001-9259
  • EISSN: 2398-2179
  • URL: /core/journals/aeronautical-journal
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