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The Quarterly Journal of Mechanics and Applied Mathematics 1987 40(3):383-399; doi:10.1093/qjmam/40.3.383
© 1987 by Oxford University Press
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SMALL-AMPLITUDE WAVES WITH COMPLEX WAVE NUMBERS IN A PRESTRESSED CYLINDER OF MOONEY MATERIAL

J. A. BELWARD and S. J. WRIGHT{dagger},

( Department of Mathematics, University of Queensland St Lucia, Queensland 4067, Australia
Department of Mathematics, University of Arizona Tucson, Arizona 85721, USA
{dagger}Now at: University of North Carolina Raleigh, North Carolina 27695, USA )

The paper concerns small-amplitude waves in a cylinder of prestressed Mooney material. Analytical and computational techniques are used to construct dispersion curves having real frequencies and complex wave numbers.

While many properties of the curves which hold for classical infinitesimal elasticity are shown to remain valid in the more general context, significant qualitative and quantitative differences are observed as the initial deformation varies. These differences depend upon whether the underlying pure homogeneous deformation corresponds to an extension or a compression along the axis of the cylinder.


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