Eigenfunctions of plane elastostatics III the Wedge
- 1 May 1965
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 5 (2) , 241-257
- https://doi.org/10.1017/s1446788700026811
Abstract
Summary 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.Keywords
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- THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGEThe Quarterly Journal of Mechanics and Applied Mathematics, 1948