Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T14:23:45.645Z Has data issue: false hasContentIssue false
  • English
  • Français

Eigenfunctions of plane elastostatics III the Wedge

Published online by Cambridge University Press:  09 April 2009

V. T. Buchwald
V. T. Buchwald
Affiliation:
Department of Applied Mathematics, University of Sydney.
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 2 , May 1965 , pp. 241 - 257
Copyright
Copyright © Australian Mathematical Society 1965

References

[1]Tranter, C. J., Q.J.M.A.M. 1 (1948), 125.Google Scholar
[2]Green, A. E. and Zerna, W., Theoretical Elasticity, 1954, Oxford University Press.Google Scholar
[3]Carrier, G. F. and Shaw, F. S., Proc. Symp. App. Math. 3 (1950), 125.CrossRefGoogle Scholar
[4]Morley, L. S. D., Q.J.M.A.M. 15 (1962), 413.Google Scholar
[5]Buchwald, V. T., Proc. Roy. Soc. A. 277 (1964), 385.Google Scholar
[6]Titchmarsh, E. C., Fourier Transforms, Oxford University Press, 1948.Google Scholar
[7]Smith-White, W. B. and Buchwald, V. T., this Journal 4 (1964), 327.Google Scholar
[8]Sternberg, E. and Koiter, W. T., J. Appl. Mech. 4 (1958), 575.CrossRefGoogle Scholar