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Plane elastostatic boundary value problems (II). The role of inversion

Published online by Cambridge University Press:  26 February 2010

V. T. Buchwald
V. T. Buchwald
Affiliation:
The Dept. of Applied Mathematics, The University, Sydney.
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Summary

It is shown that in a certain sense, inversion transforms biharmonic functions into biharmonic functions. The first boundary value problem of elastostatics is also largely unchanged by this transformation, and known solutions can be used to obtain new results for inverse regions. As an example, the problem of a stress free dumb-bell shaped hole in an infinite plate is solved.

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 29 - 34
Copyright
Copyright © University College London 1963

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References

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