Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T13:10:22.363Z Has data issue: false hasContentIssue false

A mixed boundary value problem of two-dimensional elasticity theory

Published online by Cambridge University Press:  26 February 2010

R. Tiffen
Affiliation:
Birkbeck College, and London.
S. M. Sharfuddin
Affiliation:
Birkbeck College, and London.
Get access

Extract

Summary. This paper is concerned with an infinite plate of homogeneous isotropic elastic material in a state of generalised plane stress and having a circular hole with boundary γ divided into two parts. Over one part of γ the stresses are zero; over the other the shear stress is zero and the normal displacement is specified. The problem corresponds to a smooth loose rigid pin pressed against the edge of a circular hole in an infinite plate.

Type
Research Article
Copyright
Copyright © University College London 1964

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Stevenson, A. C., Proc. Roy. Soc. (A), 184 (1945), 129.Google Scholar
2. Stevenson, A. C., Phil. Mag. (7), 34 (1943), 766.Google Scholar
3. Milne-Thomson, L. M., Plane elastic systems (Springer, 1960), 58.CrossRefGoogle Scholar
4. Muskhelishvili, N. I., Some basic problems of the mathematical theory of elasticity, 3rd ed. (Moscow, 1949), Eng. ed. (Groningen-Holland, 1953), 262.Google Scholar
5. Prandtl, L., Essentials of fluid dynamics, Eng. ed. (Blackie and Son, 1957), 212.Google Scholar
6. Multhopp, H., Luftfahrt-forschung, XV, 4 (1938), 153.Google Scholar
7. Schroeder, K., Abhandl. d. Preuss. Akad. d. Wiss. Math, naturwiss. Klasse. 16 (1939), 3.Google Scholar
8. Muskhelishvili, N. I., Singular integral equations, 2nd ed. (Moscow, 1946), Eng. ed. (Groningen-Holland, 1949), 373.Google Scholar