The Carothers solution for a wedge loaded by a concentrated couple at its vertex is known to be valid for the wedge angles only. Moreover, for it exists for antisymmetric loading only. The more realistic model of the concentrated couple of the arbitrary orientation is examined by the approach of Dundurs-Markenscoff. It is shown that the Carothers type solution holds for the edge angles [S0021-8936(00)00402-5]
Issue Section:
Brief Notes
1.
Uflyand, Y. S., 1967, The Integral Transforms in the Problems of Theory of Elasticity, Gostechizdat, Leningrad (in Russian).
2.
Markenscoff
, X.
, 1994
, “Some Remarks on the Wedge Paradox and Saint-Venant’s Principle
,” ASME J. Appl. Mech.
, 61
, pp. 519
–523
.3.
Markenscoff
, X.
, and Paukshto
, M.
, 1998
, “The Wedge Paradox and a Correspondence Principle
,” Proc. R. Soc. London, Ser. A
, 454
, pp. 147
–154
.4.
Markenscoff
, X.
, and Paukshto
, M.
, 1995
, “The Correspondence Between Cavities and Rigid Inclusions in Three-Dimensional Elasticity and the Cosserat Spectrum
,” Int. J. Solids Struct.
, 32
, pp. 431
–438
.5.
Sternberg
, E.
, and Koiter
, V.
, 1958
, “The Wedge Under a Concentrated Couple: A Paradox in the Two-Dimensional Theory of Elasticity
,” ASME J. Appl. Mech.
, 25
, pp. 575
–581
.6.
Belonosov, S. M., 1962, The Basic Plane Static Problems of Theory of Elasticity for Simply Connected and Double Connected Domains, Siberia Department AS USSR., Novosibirsk, Russia (in Russian).
Copyright © 2000
by ASME
You do not currently have access to this content.