Hostname: page-component-745bb68f8f-lrblm Total loading time: 0 Render date: 2025-01-12T12:40:09.481Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  07 June 2016

G. G. Pope
G. G. Pope*
Affiliation:
(Royal Aircraft Establishment, Farnborough)
Get access

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.

Type
Research Article
Information
Aeronautical Quarterly , Volume 17 , Issue 1 , February 1966 , pp. 83 - 104
Copyright
Copyright © Royal Aeronautical Society. 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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.)Google Scholar
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.Google Scholar
3. Denke, P. H. A matric method of structural analysis. Proceedings of the Second US National Congress of Applied Mechanics, American Society of Mechanical Engineers, New York, 1954.Google Scholar
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.Google Scholar
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.Google Scholar
6. Denke, P. H. Digital analysis of non-linear structures by the force method. Matrix methods of structural analysis (edited by Veubeke, B. Fraeijs de). Pergamon Press, 1964.Google Scholar
7. Padlog, J., Huff, R. D. and Holloway, G. F. Inelastic behaviour of structures subjected to cyclic, thermal and mechanical stressing problems. Wright Air Development Division Tech. Rep. 60-271, December 1960.Google Scholar
8. Drucker, D. C. Plasticity. Structural mechanics (edited by Goodier, J. N. and Hoff, N. J.). Pergamon Press, 1960.Google Scholar
9. Allen, D. N. De G. and Southwell, R. V. Relaxation methods applied to engineering problems–XIV. Plastic straining in two-dimensional stress systems. Phil. Trans. Roy. Soc. A, Vol. 242, 1950.Google Scholar
10. Hill, R. Plasticity. Oxford University Press, 1950.Google Scholar
11. Ang, A. H.-S. and Harper, G. N. Analysis of contained plastic flow in plane solids. Proceedings of the American Society of Civil Engineers, Vol. 90, EM5, p. 397, October 1964.Google Scholar
12. Green, A. E. and Naghdi, P. M. A general theory of an elastic-plastic continuum. Archive of Rational Mechanics and Analysis, Vol. 18, p. 251, March 1965.Google Scholar
13. Mansfield, E. H. The stress distribution in panels bounded by constant-stress edge members. Appendix 3. R & M 2965, 1954.Google Scholar
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.Google Scholar