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Plane elastostatic boundary value problems (III). Stresses in a parabolic mound

Published online by Cambridge University Press:  26 February 2010

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

The first and second boundary value problems of plane elastostatics are solved for the interior of a parabola. A conformal transformation is used to map the interior of the parabola onto an infinite strip. An analytic continuation technique reduces the boundary value problem to the solution of a form of differential-difference equation. This is solved by a Fourier integral method. The resulting integrals are evaluated by residues to give eigenfunction expansions for the complex potentials.

Type
Research Article
Information
Mathematika , Volume 10 , Issue 1 , June 1963 , pp. 35 - 42
Copyright
Copyright © University College London 1963

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References

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