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An elastostatic circle theorem

Published online by Cambridge University Press:  24 October 2008

K. Aderogba
K. Aderogba
Affiliation:
Faculty of Engineering, University of Lagos, Nigeria
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Abstract

An isotropic infinite plane containing a circular inhomogeneity is subjected to an arbitrary loading condition. Assuming that the unperturbed elastic field is known, it is proved that the disturbed Papkovich potentials are expressible in terms of the potentials for the homogeneous plane. This knowledge can save considerable labour in the actual construction of the elastic field for the composite plane. The results are applied to some particular problems which include that of an arc displacement discontinuity in the composite plane. This example has as yet not been solved explicity by other methods and reveals that the displacement field at the cavity surface is independent of the elastic constants.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 269 - 277
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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