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Eigenfunctions of plane elastostatics III the Wedge

Published online by Cambridge University Press:  09 April 2009

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

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The boundary value problem of the infinite wedge in plane elastostatics is reduced to the solution of a differential-difference equation. The complementary function of this equation is determined in the form of a Fourier integral, which, on expansion by residue theory, gives the complete eigenfunction expansion for the wedge. The properties of the eigenfunctions are discussed in some detail, and orthogonality property is derived.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1965

References

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