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.
A Note on the Application of the Flamant Solution of Classical Elasticity to Circular Domains
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 12, 2001; final revision, March 4, 2002. Associate Editor: M.-J. Pindera.
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Levy , A. J. (October 31, 2002). "A Note on the Application of the Flamant Solution of Classical Elasticity to Circular Domains ." ASME. J. Appl. Mech. November 2002; 69(6): 856–859. https://doi.org/10.1115/1.1480821
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