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The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(3):365-381; doi:10.1093/qjmam/40.3.365
© 1987 by Oxford University Press
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AN ELASTIC CIRCULAR CYLINDER WITH PRESCRIBED DISPLACEMENTS AT THE ENDS—ASYMMETRIC CASE

M. ROBERT and LEON M. KEER

( Department of Engineering Science and Applied Mathematics, Northwestern University Evanston, Illinois 60201, USA )

A linear elastic cylinder of finite length is sheared in a direction perpendicular to its axis of symmetry such that displacements are prescribed on its ends while its lateral surface remains stress free. The solution to this asymmetric problem is found by using an eigenfunction expansion technique from which results were previously obtained in the axisymmetric case. The stress singularities at the flat ends of the cylinder require a special technique which is incorporated in this paper.


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