It is a well known fact that the Flamant solution of classical elasticity cannot be used at an interior point of an elastic body since the resulting displacement field would be multivalued. In this note we demonstrate that the solution to the problem of a concentrated force at a point on an interior circular boundary has a multivalued displacement component but that the exclusion of the point of application of the load from the domain renders the displacement field single-valued everywhere.
Issue Section:
Brief Notes
1.
Levy
, A. J.
, 1998
, “The Affect of Interfacial Shear on Cavity Formation at an Elastic Inhomogeneity
,” J. Elast.
, 50
, pp. 49
–85
.2.
Dundurs
, J.
, and Hete´nyi
, M.
, 1961
, “The Elastic Plane With a Circular Insert, Loaded by a Radial Force
,” ASME J. Appl. Mech.
, 28
, pp. 103
–111
.3.
Dundurs
, J.
, Fukui
, K.
, and Fukui
, T.
, 1966
, “Concentrated Force Near a Smooth Circular Inclusion
,” ASME J. Appl. Mech.
, 33
, pp. 871
–876
.4.
Timoshenko, S. P., and Goodier, J. N., 1934, Theory of Elasticity, McGraw-Hill, New York.
5.
Barber, J. R., 1992, Elasticity, Kluwer Academic, Dordrecht, The Netherlands.
Copyright © 2002
by ASME
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