Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Torsion of a finite elastic cylindrical rod partially bonded to an elastic half space


Authors: L. M. Keer and N. J. Freeman
Journal: Quart. Appl. Math. 26 (1969), 567-573
DOI: https://doi.org/10.1090/qam/99837
MathSciNet review: QAM99837
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Abstract | References | Additional Information

Abstract: A solution is given for the problem of axially symmetric torsion of a finite elastic cylindrical rod partially bonded to an elastic half space. The problem is formulated in a manner that involves coupling between dual Dini series and dual integral equations. Auxiliary functions are introduced and the problem is reduced to the solution of a Fredholm integral equation of the second kind. Approximate closed-form results are obtained when the radius of the bonded region is less than one-half the radius of the cylinder. Fractional order singularities in the stress are noted and calculated for the case when the crack vanishes.


References [Enhancements On Off] (What's this?)

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  • [7] N. J. Freeman and L. M. Keer, Torsion of elastic cylinders in contact, Int. J. Solids Structures 3, 799 (1967)


Additional Information

DOI: https://doi.org/10.1090/qam/99837
Article copyright: © Copyright 1969 American Mathematical Society


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