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The Quarterly Journal of Mechanics and Applied Mathematics 1993 46(2):299-309; doi:10.1093/qjmam/46.2.299
© 1993 by Oxford University Press
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DECAY AND OTHER ESTIMATES FOR AN ELASTIC CYLINDER

J. N. FLAVIN1 and S. RIONERO2

( 1Department of Mathematical Physics, University College Galway
2Istituto di Matematica, Universita di Napoli Cap 80134, Napoli, Italy )

A homogeneous, isotropic linear elastic cylinder is considered. Its curved boundary is subjected either to zero displacement conditions, or to displacements which, at most, vary linearly with x3, the axial coordinate. A cross-sectional measure of possible deformations is defined, and a second-order differential inequality (corresponding to convexity or generalized convexity) is derived for this. Various implications are discussed including, under appropriate circumstances, spatial decay estimates with respect to the axial coordinate x3.


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