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Mathematics and Mechanics of Solids
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Some Extensions of Carothers's Paradox in Plane Elasticity

Piero Villaggio

Dipartimento di Ingegneria Strutturale, 56126 Pisa, Italy

The state of stress in an elastic plane wedge under the action of a couple concentrated at the vertex becomes unbounded everywhere as soon as the angle between the two straight edges assumes value of 257024/. This unexpected behavior of the elastic solution is known as Carothers's paradox. The paradox, however, occurs also for a larger class of plane regions and not only for the simple angle.

Mathematics and Mechanics of Solids, Vol. 3, No. 1, 17-28 (1998)
DOI: 10.1177/108128659800300102
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