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On the Torsional impulsive body force within an elastic half space

Published online by Cambridge University Press:  26 February 2010

G. Eason
G. Eason
Affiliation:
The Department of Mathematics, The Royal College of Science and Technology, Glasgow
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Summary

The problem considered here is that of a torsional impulsive body force within a semi-infinite elastic solid. The surface of the solid is assumed to be either stress-free or rigidly clamped. The basic solution is found to be essentially the same as that for the surface loading of a half space previously considered by Eason [1]. The displacement is determined in terms of elementary functions for one particular type of body force, although using the results in [1] the solution can be obtained for other types of force. Some numerical results for the surface displacement of the stress-free solid are presented in graphical form.

Type
Research Article
Information
Mathematika , Volume 11 , Issue 1 , June 1964 , pp. 75 - 82
Copyright
Copyright © University College London 1964

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References

1.Eason, G., to appear in the Q. J. Mech. and App. Maths.Google Scholar
2.Reissner, E., Ing. Archiv., 8 (1937), 229.Google Scholar
3.Sneddon, I. N., Fourier Transforms (McGraw-Hill, 1951).Google Scholar
4.Erdéyi, A. et al., Tables of Integral Transforms, Vol. 1 (McGraw-Hill, 1954).Google Scholar