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The application of nodal stress concepts to the bending of plates and shells

Published online by Cambridge University Press:  04 July 2016

D. A. Jobson
D. A. Jobson*
Affiliation:
The Reactor Group, United Kingdom Atomic Energy Authority
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Extract

When a continuum is represented in lumped terms as a set of nodes which are regularly connected in a specified sense, the state of stress at each interior node may be inferred from the forces which act on it. These ideas require some extension for plates and shells, whose flexure and twisting is basically governed by the Love-Kirchhoff hypothesis. The latter requires that the mid-plane stresses be combined with bending and torsional stress couples acting on interfaces perpendicular to the mid-plane.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 76 , Issue 744 , December 1972 , pp. 712 - 714
Copyright
Copyright © Royal Aeronautical Society 1972 

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References

1. Jobson, D. A. The determination of stresses at nodal points from finite element solutions to elastic problems. The Aeronautical Journal of the Royal Aeronautical Society, Vol 75, March 1971.Google Scholar
2. Hrennikoff, A. Solution of problems of elasticity by the framework method. J App Mech ASME, Vol 63, December 1941, pp A169–175.Google Scholar
3. Yettram, A. L. and Husain, H. M. Grid-framework method for plates in flexure. J Engg Mech Divn ASCE, Vol 91, No EM3, June 1965.Google Scholar
4. Zienkiewicz, O. C. The finite element method in structural and continuum mechanics. McGraw Hill, London, 1967.Google Scholar
5. Jobson, D. A. Grid analogies for the elastic bending of plates. UKAEA TRG Report 1340(R), Part 2, 1967.Google Scholar
6. Jobson, D. A., Enderby, J. A. and Ellington, J. P. Mechanised structural analysis: a user's guide to the GRID-FRAME program. UKAEA TRG Report 1089(R), 1966.Google Scholar