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Elastic plastic analysis of shallow shells—a new approach

Published online by Cambridge University Press:  17 February 2009

J. Mazumdar ,
A. Ghosh ,
J. S. Hewitt  and
P. K. Bhattacharya
J. Mazumdar
Affiliation:
School of Mathematical Sciences, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: jmazumdar@maths.adelaide.au. School of Electrical and Information Engineering, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes SA 5095, Australia; e-mail: Jagannath.Mazumdar@unisa.edu.au.
A. Ghosh
Affiliation:
School of Mathematical Sciences, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: aghosh@maths.adelaide.au.
J. S. Hewitt
Affiliation:
School of Mathematics and Statistics, University of South Australia, Mawson Lakes Boulevard, Mawson Lakes SA 5095, Australia; e-mail: John.Hewitt@unisa.edu.au.
P. K. Bhattacharya
Affiliation:
Department of Mathematics, Indian Institute of Technology, Delhi-110016, India.
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Abstract

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A simple and efficient method for the analysis of the elastic-plastic bending of shallow shells is presented. The method is based upon the concept of contour lines of equal deflection on the surface of the shell, and uses Illyushin's theory of plastic deformation. As an illustration of the method, a technically interesting example of a shallow elliptic elastic dome is examined. Results are obtained for increasing loads and varying aspect ratios, and are illustrated graphically. The application of the method to other shell geometries is quite straightforward.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 1 , July 2005 , pp. 121 - 130
Copyright
Copyright © Australian Mathematical Society 2005

References

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